# Schedule

#### S4. Control of nonlinear systems under deterministic and stochastic loads

The vibration control of nonlinear engineering systems under deterministic and stochastic loads is a challenging and fascinating field in research and applications.
The aim of the present symposium is . . .Read More

Title Author Status Abstract
Polynomial Chaos and Lie Groups: Application in a Gyroscopic System with Uncertainties Colon Approved Stochastic processes in Lie groups is a well-developed theory in the Mathematics community, particularly for the case of rotations (elements of the Lie group SO(3)). This theory finds many application . . . Read More

Automotive Computational Model under Stochastic Disturbances Colon Approved In this work, we present a mathematical (computational) model of a car’s longitudinal and vertical dynamics, with their relevant control systems, and assume that certain parameters and random variable . . . Read More

Computational Analysis of Unmanned Aerial Vehicle (UAV) ABU DARAG Approved A computational exercise has been performed to validate the aerodynamics properties of a novel UAV utilizing a cascade propeller engine. The UAV-SUST has been designed and fabricated at the Department . . . Read More

State of the Art Review of Semi-Active Control for Magnetorheological Dampers Mughal Approved Earthquakes causes severe damage to badly designed structures or buildings to fail or collapse, and also have caused some damage to well-designed structures to malfunction due to the damage or failure . . . Read More

Stationary Action and Hamilton-Jacobi Theory McEneaney Approved Stationary-action formulations of conservative dynamical systems are considered. Use of stationary-action formulations allow one to generate fundamental solutions for classes of two-point boundary-val . . . Read More

Non-Fragile Observer-Based Controller for Vibration Control of Uncertain Mechanical Systems Oveisi Approved This paper proposes a robust disturbance rejection, non-fragile observer-based controller, for a class of linear systems with structured uncertainty. The robust quadratic stability is guaranteed by th . . . Read More

Quasi-Periodic Dynamics of a High Angle of Attack Aircraft G Approved High angle of attack maneuvers closer to stall is a commonly accessed flight regime especially in case of fighter aircrafts. Stall and post-stall dynamics are dominated by nonlinearities which make th . . . Read More

Damage propagation on a non-ideal vibrating system, with fractional spring and damping Oliveira Approved C Oliveira1,2, J M Balthazar1, A Nabarrete1, M.F. Westin1 , A M Tusset3 and S A David4
1 ITA-Aeronautics Technological Institute, Mechanical-Aeronautics Division,
São José dos Campos, SP, Brazil,
2 UF . . . Read More

Hierarchical Control of Aerial Manipulation Vehicle Kannan Approved Aerial Manipulation can be defined as the technology in which an Aerial Vehicle has the capability to manipulate and interact with its environment. Simple examples of aerial vehicle for active tasking . . . Read More

Nonlinear Model Predictive Control for Cooperative Control of Space Robots Kannan Approved Advancement of space needs has challenged human capabilities to perform advanced on-orbit tasks such as construction, maintenance, inspection, astronaut assistance, debris manipulation etc. In order . . . Read More

Mathematical modeling of a Bridge Crane Bueno Approved The problem of transportation and movimentation of heavy loads have allways been found in ports, airports, industrial complexes and construction sites. Cranes are mechanical systems that move heavy lo . . . Read More

Study of effects due to elimination and resources downgrade of sensors in control techniques applied to a two-wheeled inverted pendulum Bueno Approved This paper presents comparisons considering the main characteristics of modeling methodologies and control techniques for a system based on operation of a two wheels inverted pendulum (TWIP), namely, . . . Read More

Total Abstracts: 12

#### S17. New Methods and Applications in Aeroelasticity and Structural Mechanics/Dynamics

Abstract: New methods and applications are explored and tackled in order to realize future aircraft. A representative example is the coupling of sophisticated computational fluid dynamics (CFD) and th . . .

Title Author Status Abstract
Dynamic Load Estimation for a Beam using Central-Difference Scheme and FEM Nakamura Approved Operational load monitoring is very useful in estimating the internal load and hence the usage of the structure based on the actual data. Today there is a strong background of the development of sensi . . . Read More

Stabilizing effects on 2D channel flow due to longitudinal wall oscillation Atobe Approved Influence of wall oscillation on laminar-turbulent transition of the plane Poiseuille flow is investigated analytically. The Floquet analysis using a time-dependent Orr-Sommerfeld equation expects tha . . . Read More

Reduced Order Modeling of Aeroelasticity Analysis for a Wing under Static Deformation Effect Tamayama Approved The full order analysis of aeroelasticity system, which solves Euler or Navier Stokes equations in time domain, is usually expensive in a sense of time consumed. To improve this defect arisen in the f . . . Read More

Simulation of Transonic Limit Cycle Oscillations using Nonlinear Aerodynamic Modeling Arizono Approved Limit cycle oscillations (LCO) are usually defined as self-sustained oscillations with limited amplitudes. The type of LCO are categorized as follows: (1) airfoils with stiffness nonlinearities, (2) d . . . Read More

Total Abstracts: 4

#### S1. Analysis of Fractional Differential, Integral and Difference equations with Applications

Abstract: It has been demonstrated that fractional Dynamic systems equations represent better and more economical models than their counterpart of integer derivative models. Also, due to their applica . . .Read More

Title Author Status Abstract
New trends on Fractional operators and Applications Atangana Approved In this talk, we present a new direction of fractional calculus with some new definitions of fractional derivatives. New results in connection of the new calculus are presented together with some appl . . . Read More

Global solvability of a class of fractional integro-differential equations with applications Oukouomi Noutchie Approved In this talk, we consider a class of fractional differential equations arising in natural science and engineering. Semi-linear abstract Cauchy theory will be used to investigate the existence and uniq . . . Read More

Existence of solution for a higher order fractional differential equation Assia Approved In this talk, we establish sufficient conditions for the existence and uniqueness of solution for a class of higher order Caputo fractional initial value problems. We transform the posed problem to a . . . Read More

Generalized Monotone Method and Numerical Approach for Coupled Reaction Diffusion Systems Muniswamy Approved Study of coupled reaction diffusion systems are very useful in engineering and science. In this paper, we provide a methodology to construct the solution for the coupled reaction diffusion systems, w . . . Read More

Riemann Lioville Dynamic Systems Versus Sequential Caputo dynamic Systems with Applications Vatsala Approved It is well known that dynamic models represented by fractional derivatives are more efficient and cost effective compared with its counterpart of dynamic models using integer derivatives. The most com . . . Read More

Haar based numerical solution of Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions SETIA Approved Fractional integro-differential equations have many applications in different fields of science and engineering like aerospace, nuclear engineering, chemistry, astronomy, biology, economics, potential . . . Read More

Numerical method to solve cauchy type singular integral equation with error bounds SETIA Approved Cauchy type singular integral equations with index zero naturally occur in the field of aerodynamics. Literature is very much developed for these equations and Chebyshev’s polynomials are most frequen . . . Read More

Integral equation in functional spaces / Generalized Lebesgue space()() firouz Approved The aim of this work is the study: the problem of existence of solutions for integral equation in different
functional spaces.
Then it is imperative to pass by an assumptional property: the compactnes . . . Read More

On a nonlinear fractional boundary value problem TOREBEK Approved In this work we prove the existence and uniqueness of solutions for a class of the nonlinear third order fractional differential equation with boundary condition. An example is given to illustrate the . . . Read More

Total Abstracts: 9

#### Applications on fractional operators to real world problems

Abstract: The concept of derivative with fractional order has attracted attention of many researchers in many branches of sciences, technology and engineering as it was found suitable mathematical too . . .Read More

Abstracts are being reviewed. A list of approved abstracts will appear soon.

#### S3. Control and Estimation: Theory and Applications

Abstract: Feedback and control systems are all pervasive in nature as well as in human endeavors. The theory of control systems is a mature field in the minds of many; however, it continues to evolve . . .

Title Author Status Abstract
Submarine Harbor Navigation Using Image Data Stubberud Approved The process of ingress and egress of a United States Navy submarine is a human-intensive process that takes numerous individuals to monitor locations and for hazards. Sailors pass vocal information to . . . Read More

A Unified Kalman Filter Stubberud Approved When considering problems of linear sequential estimation, two versions of the Kalman filter, the continuous-time version and the discrete-time version, are often used. (A hybrid filter also exists.) . . . Read More

Integration of Bio-Inspired, Control-Based Visual and Olfactory Data for the Detection of an Elusive Target Duong Approved In this paper, a technique is presented for integrating bio-inspired visual and olfactory receptor systems to search for elusive targets in practical environments in which the targets cannot be detect . . . Read More

Observer based fault diagnostics for networked control systems in presence of delay Abdollahi Biron Approved The concept of wireless communication, provides the ability of remote controlling for large scale systems in industries. Therefore, each large scale system can be divided into (1) physical part contai . . . Read More

MODEL PREDICTIVE CONTROL: A NEW APPROACH Nagy Approved New methods are proposed in the paper for solution of the model predictive control problem. Nonlinear state space design techniques are also treated. For nonlinear state prediction (state evolution co . . . Read More

Total Abstracts: 5

#### S5. Delay Differential Equations Models in Life Sciences, Engineering and Economics

Abstract. The Session is dedicated to recent models from biology, medicine, technology and socio-economics that use differential equations with time lag. A major topic in this context is the study of . . .Read More

Title Author Status Abstract
On qualitative properties in nonlinear Volterra integro-differential equations with delay TUNC Approved This paper considers a class of scalar and vector non-linear Volterra integro-differential equations of first order with constant delay. We show stability, uniformly stability, boundedness, convergenc . . . Read More

The stability analysis of a hypothalamic pituitary adrenal axis model with inclusion of the glucocorticoid receptor and memory Neamtu Approved This paper analyzes a model of the hypothalamic-pituitary-adrenal (HPA) axis that includes the glucocorticoid receptor in the pituitary. Due to the spatial separation between hypothalamus, pituitary a . . . Read More

Stability analysis for a delay differential equations model of a hydraulic turbine speed governor SAFTA Approved The paper aims to model the dynamic behavior of a speed governor for a hydraulic turbine using an associated mathematical model. The nonlinear mathematical model newly introduced consists of a system . . . Read More

Dynamics of complex-valued fractional-order neuronal networks Radulescu Approved The dynamics of complex-valued fractional-order neuronal networks are investigated, focusing on stability, instability, Hopf bifurcations and chaos. Sufficient conditions for the asymptotic stability . . . Read More

Parameter estimation and sensitivity analysis for a mathematical model with time delays of leukemia Candea Approved D. Candea, A. Halanay, R. Radulescu
We consider a system of nonlinear delay differential equations that describes the interaction between three competing cell populations: healthy, leukemic and anti-l . . . Read More

Influence of Delay on Dynamical Behaviour of Nonideal Pendulum Systems Shvets Approved Influence of Delay on Dynamical Behaviour of Nonideal Pendulum Systems
A.Yu. Shvets
National Technical University of Ukraine “Kyiv Polytechnic Institute”,
Kyiv, Ukraine
(e-mail: alex.shvets@bigmir.ne . . . Read More

New results on the stability, boundedness and periodic solutions of some third-order delay nonlinear differential equations with multiple deviating arguments Adesina Approved A.T. Ademola, B.S.Ogundare, M.O. Ogundiran and O.A.Adesina
Department of Mathematics, Obafemi Awolowo University, Ile-Ife, Nigeria
In this paper, sufficient conditions for solutions that are periodic, . . . Read More

Nonlinear dynamics in a fractional-order Morris-Lecar neuronal model Brandibur Approved A two-dimensional fractional-order Morris-Lecar neuronal model is analyzed, focusing on stability and instability properties. Moreover, we discuss the occurrence of Hopf bifurcations with respect to t . . . Read More

Stability and oscillations in a CML model Badralexi Approved We capture the evolution in competition of healthy and leukemic cells in Chronic Myelogenous Leukemia (CML) taking into consideration the response of the immune system. Delay-differential equations in . . . Read More

Total Abstracts: 9

#### S6. Integral Equations and Their Applications in Science and Technology

Abstract: The aim of the session is to discuss both the theory of integral equations and their applications in engineering, mechanics, mathematical physics and so on. In particular, talks presenting t . . .Read More

Title Author Status Abstract
A Fast Computational Technique for Solving General Nonlinear Integral Equations Fattahzadeh Approved In this work we propose a fast scheme for solving general nonlinear Integral equation by using Chebyshev fast method of Fourier transform (FFT). This method is based on replacement of unknown function . . . Read More

Hyers-Ulam-Rassias stability for a class of Hammerstein integral equations Simões Approved We obtain sufficient conditions for the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations within both cases of finite and infinite intervals. These sta . . . Read More

Invertibility of Wiener-Hopf plus Hankel integral equations Silva Approved We will study operators arising in Wiener-Hopf plus Hankel integral equations.
Invertibility and Fredholm criteria for those operators are obtained in the framework of variable exponent Lebesgue spac . . . Read More

Fourier cosine and Fourier sine integral equations and their convolutions Guerra Approved We will present a study for a class of integral equations associated with the Fourier cosine and Fourier sine transforms. The solvability of those equations is analysed. In addition, a Parseval type f . . . Read More

Some new properties and applications of a fractional Fourier transform Rodrigues Approved In this talk, we deal with the fractional Fourier transform in the form introduced a little while ago by Yuri Luchko. This transform is closely connected with the FC operators and has been already emp . . . Read More

On the solvability of a class of convolution integral equations with symmetry Castro Approved Convolution integral equations with symmetry appear naturally in boundary value problems for elliptic partial differential equations in symmetric or symmetrizable domains. We will be concentrated on a . . . Read More

Some asymptotic properties of Fourier-Laplace transform of the Green’s Tensor for coupled thermoelastodynamics in 2D and 3D case Alipova Approved The dynamics of thermoelastic medium under the action of concentrated transient heat sources and mass forces is considered. It is known that the effect of such sources is modeled by representation of . . . Read More

Shock Waves As Generalized Solutons Of Thermoelastodynamics Equations. On The Uniqueness Of Boundary Value Problems Solutions Alipova Approved Generalized solutions of coupled thermoelastodynamics equations are considered. By use of generalized functions theory, the conditions on jumps of stresses, velocities, temperature gradients and energ . . . Read More

Total Abstracts: 8

#### S7. Inverse Problems: Theory and Application to Science and Engineering

Abstract: Inverse problems arise naturally in many branches of science and engineering where the values of some model parameters must be obtained from the observed data.
This sort of question is of gr . . .Read More

Title Author Status Abstract
An inverse problem for a system of steady-state reaction-diffusion equations acting on a perforated domain Kunze Approved A perforated domain (or porous medium) is a material characterized by a partitioning of the total volume into a solid portion often called the matrix and a pore space usually referred to as holes. Mat . . . Read More

An inverse problem for a mathematical model of aquaponic agriculture. Bobak Approved Aquaponics is a closed-loop agricultural system which uses a symbiotic relationship between aquatic organisms and aquatic macrophytes. The two major populations of interest are fish and plants, howe . . . Read More

Signal processing with Circle Inversion Map Systems Boreland Approved Given a circle C with centre o and radius r, inversion with
respect to C transforms the point p to the point p’ such that
p and p’ lie on the same radial half-line from o and d(o,p)d(o,p’)=r*r,
where . . . Read More

Collage-based Approaches for Elliptic Partial Differential Equations Inverse Problems Yodzis Approved The collage method for inverse problems has become well-established in the literature in recent years. Initial work developed a collage theorem, based upon Banach’s fixed point theorem, for treating i . . . Read More

Addaptive model reduction approach in optimal control applied to solve Transfer Equations Oulghelou Approved Optimal control of dynamical systems is of much interest in a wide range of applications,
such us aeronautics, design and mechanical systems. However, the main fear often encoun-
tered is the huge tim . . . Read More

Stability Problem for Singular Dirac Equation System on Finite Interval ERCAN Approved In this study, we show the stability spectral problem for the singular Dirac system respect to two spectra on a finite interval. The meaning of the stability problem of differential operators is to . . . Read More

Surface Pressure Sensitivities for the Measurement of the Mach Number and Angle of Attack of Supersonic Flows Stoia-Djeska Approved In this paper we present a method for the calculation of the sensitivities in the case of supersonic flows over a bi-splopes wedge. The sensitivities are of the pressures determined at some locations . . . Read More

IFSM Fractal Image Compression, Sparsity, and Total Variation Minimization: A Multiobjective Approach La Torre Approved We consider the inverse problem associated with IFSM: Given a target function f, find an IFSM, such that its invariant fixed point f
is sufficiently close to f in the Lp distance. Forte and Vrscay (1 . . . Read More

Total Variation Minimization for Measure-valued Images La Torre Approved We present a notion of total variation for measure-valued images. We introduce the total variation denoising problem and show an application
to the case of fractal transforms on the space of measure-v . . . Read More

Total Abstracts: 9

#### Mathematical Modeling of Tires

Abstract: This session invites papers that deal with mathematical modeling and testing of tires. The force and moment generation mechanism of tires depends on the tire-road interaction and tire struct . . .Read More

Abstracts are being reviewed. A list of approved abstracts will appear soon.

#### S8. Mathematical Problems in Combustion and Fire Science

Abstract: The session solicits papers on wide range of mathematical problems emerging in studies of combustion, and fires as its special case. Combustion systems in general exhibit extremely complex b . . .Read More

Title Author Status Abstract
Fire Suppression as a Thermal Implosion Novozhilov Approved The paper considers an inversion of a thermal explosion concept which we call thermal implosion.
One of natural applications of the proposed concept is a phenomenon of fire suppression.
Equations des . . . Read More

APPLICATION OF FRACTIONAL CALCULUS TO MODELLING TRANSIENT COMBUSTION OF SOLID PROPELLANTS KULISH Approved It was Zel’dovich, who first considered the transient combustion problem of solid propellants. Some more detailed models of that process have been developed afterwards. However, until today, numerical . . . Read More

ON THE POSSIBILITY TO DEVELOP AN ADVANCED NON-EQUILIBRIUM MODEL OF DEPRESSURISATION IN TWO-PHASE FLUIDS KULISH Approved Carbon dioxide is widely used as the power gas in the gas guns community due to its ease of handling, storability at room temperature, and high vapour pressure depending only upon temperature, but not . . . Read More

Effects of Initial and Boundary Conditions on Thermal Explosion Development Novozhilov Approved The paper presents some recent results concerning thermal explosion (autoigniiton) development.
The two problems are considered
1) Effects of initial temperature non-uniformities in the mixture. This . . . Read More

How simulating wildland fires: the multiphase approach ? MORVAN Approved This communication demonstrates how the behaviour of wildland fires can be simulated using a multiphase formulation. This approach consists in solving the coupled system formed by the vegetation and t . . . Read More

Modelling Emission Turbulence-Radiation Interaction by using a Hybrid Flamelet/Stochastic Eulerian Field Method CONSALVI Approved The time-averaged Radiative Transfer Equation (RTE) introduces two unclosed terms, known as ‘absorption Turbulence Radiation Interaction (TRI)’ and ‘emission TRI’. Emission TRI is related to the non-l . . . Read More

Total Abstracts: 6

#### S10. Nonlinear analysis, optimal design and guidance of space systems with low thrust

Abstract: The scope of the special session covers all areas of the mathematical problems of the nonlinear analysis, optimal design and guidance of space systems equipped with low thrust engines and it . . .Read More

Title Author Status Abstract
Methods of Optimal Control Choice of Non-Keplerian Orbits Starinova Approved The developed method of iterative optimization of interplanetary missions with the low thrust, using sequence of movement specified mathematical models and design shape spacecraft, is realised. The ne . . . Read More

Boundary problem solution of an optimal control transfer between circular orbits for an electric propulsion spacecraft in an irregular gravitational field of an asteroid Shornikov Approved The paper deals with a two-point boundary problem of optimal control transfer between circular orbits for a spacecraft with an electric propulsion engine. The spacecraft manoeuvres in vicinity of the . . . Read More

Pulse-width control of electro-reaction engines for a station-keeping of land-survey satellite on sun-synchronous orbit Somov Approved We present a method for a station-keeping of a small land-survey satellite on a sun-synchronous orbit. We have developed mathematical models of the spacecraft orbital motion taking into account princi . . . Read More

An approach for the control method’s determination for an interplanetary mission with solar sail Gorbunova Approved This article is devoted to an interplanetary flight of a spacecraft with a solar sail. Model of solar sail spacecraft called Helios is designed by students of Samara State Aerospace University. We def . . . Read More

Optimization methods of near-Earth and interplanetary flights with low thrust Salmin Approved The problem of improving the efficiency of space transport operations and control modes of the orbits of spacecraft now is particularly relevant.
The problem of improving the efficiency of space tran . . . Read More

Approximate approach for optimization space flights with a small thrust on the basis of sufficient optimality conditions Salmin Approved Flight mechanics with a low-thrust is a new chapter of mechanics of space flight, considered plurality of all problems trajectory optimization and movement control laws and the design parameters of sp . . . Read More

Control geostationary spacecraft in orbital plane using a low thrust engine Chetverikov Approved The control algorithm the parameters of the geostationary spacecraft’s orbit using low-thrust engine. We consider the only flat parameters, determining the geostationary spacecraft’s position in the o . . . Read More

Total Abstracts: 7

#### S11. Nonlinear Engineering Problems with Singularities

Abstract: The scope of Session may include but not limited to following scientific directions: Mechanical systems with critical parameters. Mechanical systems with configuration manifold having self- . . .

Organizers: Dr. Yury Selyutskiy, Dr. Oleg Cherkasov and me, Dr. Marat Dosaev. Lomonosov Moscow State University.

Title Author Status Abstract
Helicopter Flight Control by Dynamic Compensator Yaici Approved In a precedent paper a design process is described to achieve eigenstructure assignment using block poles placement. Systems described in state space equations are transformed to systems in matrix fra . . . Read More

Treatment of flow singularity for exiting liquid jet from a hydrophobic channel Khayat Approved The flow of a slipping fluid jet is examined theoretically as it emerges from a channel at moderate Reynolds number. Poiseuille flow conditions are assumed to prevail far upstream from the exit. The p . . . Read More

Nonlinear Mathematical Models for Paths Maintaining Constant Normal Accelerations Pakdemirli Approved Authors: Mehmet Pakdemirli and Volkan Yıldız
Ordinary differential equation models describing paths for which the normal acceleration components of the objects remain constant is derived. The normal . . . Read More

Range Maximization and Brachistochrone Problem with Dry Friction, Viscous Drag and Accelerating Force Cherkasov Approved Cherkasov O.Yu., Zarodnyuk A.V.
The range maximization problem and corresponding the brachistochrone problem
with Coulomb, viscous friction and accelerating force are considered. A maximum principle

Comparison of energy costs for different control laws of a vibratory robot Kulikovskaya Approved In the study there are introduced several control methods that maximize average velocity of the vibratory robot subject to several constraints. The robot is presented by a rigid box with a pendulum in . . . Read More

Evolution of rotational motions of a rigid body similar to pseudoregular precession in the Lagrange case Leshchenko Approved Perturbed rotational motions of a rigid body similar to pseudoregular precession in the Lagrange case when perturbation torque slowly varying with time. Conditions are presented for the possibility o . . . Read More

Mechanical Systems with Singularities Vitaly Approved Mechanisms with critical parameters are considered. Finding so-called dead center positions is shown. Mechanical systems having self-intersections in configurational manifold are presented. Stability . . . Read More

On auto-oscillations of a plate in flow Selyutskiy Approved Self-sustaining oscillations (auto-oscillations) of bodies of different shape in flow is a well known phenomenon. It is observed both for streamlined (like plates or wings) or bluff bodies (cylinders) . . . Read More

Electromechanical imitator of antilock braking modes of wheels with pneumatic tire and its application for the runways friction coefficient measurement Putov Approved The towed complex of prelanding control of runways friction coefficient for the purpose of ensuring the safe landing of aircraft runways is discussed. Measuring is carried out by rolling with sliding . . . Read More

Modeling of indentation into inhomogeneous soft tissues Lyubicheva Approved Lyubicheva A.N., Goryacheva I.G., Dosaev M.Z., Su F.-Ch.
A simulation of a contact interaction of the indenter and inhomogeneous soft biological tissues is carried out. The soft tissue is modeled by . . . Read More

Stability domains for vane with viscose filling Dosaev Approved The motion of a four-blade axisymmetric vane with fixed point is considered in the constant flow of medium. This is a mechanical system with variable dissipation. Stability of the permanent rotation o . . . Read More

A Predication model for combustion modes of the scramjet-powered aerospace vehicle based on the nonlinear features of the isolator flow field YANG Approved The supersonic combustion ramjet (scramjet) engine remains the most promising airbreathing engine cycle for hypersonic flight, particularly the high-performance dual-mode scramjet in the range of flig . . . Read More

Total Abstracts: 12

#### S12. Simple and Robust Adaptive Control

Abstract: Theoretical contributions of the 1970s, based on Lyapunov stability theory, led to firstnproofs of stability and had an important role in the development of model reference adaptive control . . .Read More

Title Author Status Abstract
PASSIFICATION BASED SIMPLE ADAPTIVE CONTROL OF QUADROTOR ATTITUDE: ALGORITHMS AND TESTBED RESULTS Andrievsky Approved In the paper, the results of the Passification Method with the Implicit Reference Model (IRM) application for designing the simple adaptive controller for quadrotor attitude are presented. The IRM de . . . Read More

Implementation of SAC in Target Tracking Loop Rusnak Approved The existing SAC architecture requires the knowledge of a model whose output is followed by the controlled system. This control architecture is suitable for motion control applications where the requi . . . Read More

The new Theorem of Stability and Gain Convergence in Simple Adaptive Control Barkana Approved Convergence of the adaptive control gains when the presence of sufficient excitation is not available
has remained an open question for more than 30 years. The rather common opinion that in these case . . . Read More

Simple Adaptive Control for Quadcopters with Saturated Actuators Borisov Approved The stabilization problem for quadcopters with saturated actuators is considered. A simple adaptive output control approach is proposed. The control law “consecutive compensator” is augmented with the . . . Read More

Adaptive sliding mode control for nonlinear systems with unknown time-varying uncertainties Liao Approved This paper proposes a new adaptation methodology for the control of a class of nonlinear systems with unknown time-varying bounded uncertainties. The proposed method does not require any prior knowled . . . Read More

Adaptive control of an unmanned aerial vehicle Putov Approved The paper deals with development and investigation of searchless adaptive control systems for unmanned aerial vehicle (UAV) in conditions of nonlinearity and uncertainty of dynamic characteristics and . . . Read More

A Dynamic Controller Guaranteeing Almost Strict Positive Realness of the Interconnected System Kim Approved This paper addresses the problem of designing a dynamic controller for a given MIMO LTI system (not necessarily being strictly positive real) such that their interconnection becomes almost strictly p . . . Read More

On the Synthesis of Nonlinear Sliding Mode Controller for the Autopilot Design of Free Flight System K B Approved Today’s rapid growth in air transportation demand leads to the problem of congestion in air traffic routes. Free flight concept is widely discussed as the solution to this problem in recent years. Fre . . . Read More

A Direct Implicit Reference Model Adaptive Control for SIMO Linear Time Invariant Systems with Super-Twisting-Like Terms Popov Approved Alexander Popov, Vladimir Salikhov
The Implicit Reference Model (IRM) is a well-known approach simple
control is used for linear t . . . Read More

Bifurcation Analysis and Control of Aircraft Dynamics in Constrained Trims – A Direct Approach Vora Approved Dynamical systems theory has been applied to provide intuitive understanding of nonlinear dynamics of multi-parametric non-linear systems such as an aircraft. A Bifurcation Analysis and Continuation T . . . Read More

Adaptive synchronization of robot-manipulators for tracking problem Popov Approved Alexander Popov, Vladimir Salikhov, Dmitriy Lisin, Tagir Nigmatulin
It is an important issue to coordinate multiple robotsin carrying out
assembly tasks in modern manufacturing and space applicat . . . Read More

Total Abstracts: 11

#### S15. Stochastic Processes and Fields in Engineering

Abstract: This special session is devoted to applications of random functions of one or more variables to physical and engineering problems. We plan to discuss the newest applications to continuum phy . . .Read More

Title Author Status Abstract
Spectral expansions of tensor-valued random fields (invited talk) Malyarenko Approved Many physical quantities, like the temperature, the velocity of a turbulent fluid, the strain and the elasticity tensors of a deformable body, can be modelled as a homogeneous and isotropic tensor-val . . . Read More

Scaling to RVE in Viscoelastic Random Composites Ostoja-Starzewski Approved This paper investigates the scaling from a mesoscale level to Representative Volume Element (RVE) of spatially random linear viscoelastic materials, focusing on the quasi-static properties. Requiring . . . Read More

Randomly Stopped Stochastic Processes Silvestrov Approved Dmitrii Silvestrov
Stockholm University
E-mail: silvestrov@math.su.se
A survey of models, problems and methods of asymptotic analysis for randomly stopped stochastic processes is presented in context . . . Read More

Anatoliy Malyarenko and Martin Ostoja-Starzewski. Random fields related to the symmetry classes of second-order symmetric tensors Malyarenko Approved A second-order symmetric tensor can either be orthotropic, transverse isotropic, or isotropic. For each of the above symmetry classes, we consider a homogeneous random field taking values in the fixed . . . Read More

Approximation methods of European option pricing in multiscale stochastic volatility model Ni Approved Approximation methods of European option pricing in multiscale stochastic volatility model
Ying Ni, Betuel Canhanga, Anatoliy Malyarenko, Sergei Silvestrov
In the classical Black-Scholes model for fin . . . Read More

Fractional Poisson Random Fields Leonenko Approved We present new properties for the Fractional Poisson process and the Fractional Poisson fields on the plane. A martingale characterization
for Fractional Poisson processes is given. We extend this res . . . Read More

Total Abstracts: 6

#### S14. Statistics and Modeling

Abstract: We focuses on good practices in both modelling and statistics for engineering, Reliability, testing and physical sciences. Both applied and theoretical aspects are considered. In particular . . .Read More

Title Author Status Abstract
Recognition of human activities from situation based model SALIMA Approved The notion of learning includes many methods to build a model of reality from data or improving a partial model less general or by creating a new model. There are two main learning trends: (i) Artific . . . Read More

Estimating The Quantization Dimension of Distributions Poetzelberger Approved We present estimators of the dimension of the support of a probability distribution. These estimators are derived from the concept of quantization dimension. For the general case consistency results . . . Read More

Control charts and differentiation of sampling schemes among Phase I and Phase II Economou Approved Statistical process monitoring (SPM) is extensively used in order to secure not only the quality of the output of industrial processes but also to determine the state of processes. One of the main cha . . . Read More

IMPORTANCE ASSESMENT OF AGING MULTI-STATE WATER COOLING SYSTEM BY LZ-TPANSFORM METHOD Frenkel Approved Modern high-tech equipment requires precise temperature control and effective cooling below the ambient temperature. Greater cooling efficiencies will allow equipment to be operated for longer period . . . Read More

Total Abstracts: 4

#### S13. Soliton Theory and Integrability in Mathematical Physics

Abstract: In recent years, nonlinear differential equations have been extensively used to mathematical models of interesting and important phenomena that have been observed in broad science and techno . . .Read More

Title Author Status Abstract
Conservation laws and exact solutions of Boussinesq-Burger equation KAPLAN Approved The conservation laws play an important role in the solution and reduction of partial differential equations. Also obtaining exact solutions of these equations is a significant topic.
In . . . Read More

The Auto- Bäcklund transformations for the (2 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation KAPLAN Approved More and more physical structures of nonlinear partial differential equations have attracted a lot of interests due to their applications in many important scientific problems. Apart from their theore . . . Read More

Multiple Scales Analysis and Travelling Wave Solutions for KdV Type Nonlinear Evolution Equations Ayhan Approved Nonlinear evolution equations are the mathematical models of problems that arise in many field of science. These equations has become an important field of study in applied mathematics in recent years . . . Read More

A Family of Exact Travelling Wave Solutions of (2+1)-dimensional KdV4 Equation Ayhan Approved Nonlinear evolution equations have a wide range of applications in science and engineering. In recent years many powerful methods to construct exact solutions of nonlinear evolution equations. In this . . . Read More

The (G’/G)-expansion method for the nonlinear time fractional differential equations Ünsal Approved Fractional differential equations have been used nowadays frequently in various applications for modelling heat transfer, seismic wave analysis, signal processing, control theory and many other fract . . . Read More

Singular 1-solution of the nonlinear variable-coefficient diffusion–reaction and mKdV equations Ünsal Approved The study of nonlinear evolution equations (NLEEs) is very important in various areas of applied mathematics and theoretical physics. Searching for exact soliton solutions of these equations plays an . . . Read More

Soliton solutions and other solutions to a nonlinear fractional differential equations Abdelouahab Approved Ömer ÜNSAL, Ahmet BEKİR, Özkan Güner
Abstract:
In the last decades, fractional calculus found many applications in various fields of applied mathematics, theoretical physics and engineering such as co . . . Read More

A Novel Generalized Kudryashov Method for Exact Solutions of Nonlinear Evolution Equations Koparan Approved Nonlinear evolution equations (NLEEs) and systems form the most fundamental theme in mathematical physics. Exact solutions of these equations play a crucial role in the suitable understanding of mecha . . . Read More

Total Abstracts: 8

#### S9. New Era in Mathematics

Abstract: The session aims to present the latest advances in the field of Santilli
iso-, geno- and hyper-mathematics and their applications in mathematics, physics, mechanics, chemistry, biology, eng . . .Read More

Title Author Status Abstract
How Can One Look at if Gravitational Wave Generation Has Semi Classical Features, and What This Implies About Compression of Vacuum Wave States, and Coherence/de Coherence? Beckwith Approved We argue in this document that initial vacuum state values possibly responsible for GW(Gravitational wave) generation in relic conditions in the initial onset of inflation may have a temporary un squ . . . Read More

The influence of Latin squares autotopisms on the rocket propellant problem and the radar detection experiment Falcon Approved Latin square design is used as a statistical model in Engineering whose analysis of variance makes clear differences among distinct nuisance sources of variability. This model depends on the Latin squ . . . Read More

The Cube in Art and Mathematics Trell Approved The Cube in Art and Universe
Erik TRELL, Alexander ANIMALU. Samuel EDEAGU
Starting with the mathematical roots of Cubism, a survey of the cube as eigenunit and generator in artistic and physical assem . . . Read More

Some aspects of iso-differential calculus Georgiev Approved In this talk we define iso-derivative and deduct some of its properties. They are given some applications.

On the iso-hyper-representation theory Dramalidis Approved Abstract
The hyper-representation theory appeared in mid 80’s. Nowdays, it is clear that this theory is refered to the very large class of hyperstructures since the Hv-structures are used. The main pr . . . Read More

Helix hopes in Lie-Santilli addmissibility Dramalidis Approved Abstract
On ordinary non-square matrices of type mn one can define a hypermultiplication by using the so called hope: helix multiplication. We face the problem of the general Lie-Santilli admissibili . . . Read More

Small Hypernumbers Dramalidis Approved Abstract
With the term “Small Hypernumbers” we mean that we have elements of an Hv-field of very thin type, weak associative, weak commutative and with finite fundamental field.
Especially, we focus o . . . Read More

1. Small Hypernumbers, 2. On the iso-hyper-representation theory, 3. Helix hopes in Lie-Santilli addmissibility, 4. The LV-hyperstructures in Santilli’s iso-theory Vougiouklis Approved 1.
Small Hypernumbers
T. Vougiouklis
Democritus University of Thrace, School of Education
68100 Alexandroupolis, Greece, tvougiou@eled.duth.gr
Abstract
With the term “Small Hypernumbers” we mean that . . . Read More

Trajectories of antimatter asteroids in our Solar system Beghella Bartoli Approved The innovative Isodual Theory of Antimatter proposed by R. M. Santilli is able to provide a classical representation of neutral or charged antimatter bodies in a way compatible with available classica . . . Read More

Apparent need of antimatter galaxies for the stability of the universe Beghella Bartoli Approved Fritz Zwicky’s hypothesis, according to which the cosmological redshift is due to galactic light losing energy to intergalactic media, without need of Universe expansion, seems to have been recently c . . . Read More

EXACT AND INVARIANT REPRESENTATION OF NUCLEAR SPINS VIA ISOMATHEMATICS AND ISOMECHANICS BHALEKAR Approved EXACT AND INVARIANT REPRESENTATION OF NUCLEAR SPINS VIA ISOMATHEMATICS AND ISOMECHANICS
A. A. Bhalekar(1,2) and R. M. Santilli(1)
(1)Thunder Energies Corporation, Tarpon Springs, Florida, U. S. A.
(2 . . . Read More

Mathematics of Space vs. Spaces of Hadronic Mathematics Johansen Approved While there is no astrophysics without the notion of space, there still is much dispute in theoretical physics about the basic architecture of space. Does ‘mind’ exist outside or inside space? Is spac . . . Read More

Isomathematics and IsoAlgebras Muktibodh Approved Mathematics of 20th century is solely applicable to the dynamical systems wherein point like particles are moving in a vacuum under Hamiltonian interactions; known as Exterior Dynamical Systems. Appr . . . Read More

Total Abstracts: 13

#### S16. Modelling, Simulation and Optimization in Engineering

Abstract:
In recent years, the use of Modelling, Simulation and Optimization techniques in engineering has accelerated with the advances in computational methods and resources. Modelling, Simulation . . .Read More

Title Author Status Abstract
A Survey of Multidisciplinary Design and Optimization in UAVs Rafique Approved As UAV Industry is a growing industry, designs developed by the traditional methods does not provide valid solutions or efficient designs. It was this time, MDO was suggested overtaking the existing s . . . Read More

Total Abstracts: 1

#### S2. Clifford algebras, Clifford analysis and their applications

Abstract: We plan to have a special session on Clifford algebras, Clifford analysis and their applications. It aims to present the latest advances in the field of Clifford (geometric) algebras and t . . .Read More

Title Author Status Abstract
New Aspects on Moisil-Teodorescu System Georgiev Approved In this talk is considered the Moisil-Teodorescu system. It is investigated for existence of classical solutions. It is proposed new integral representation of the classical solutions. As an appli . . . Read More

Uncertainty Principles For The Clifford-Fourier transform Jday Approved Many works are devoted to generalize the classical Fourier transform. In 2005, Sommen and Brackx introduce a generalization of the classical Fourier transform in the setting of Clifford analysis c . . . Read More

Computational aspects of quaternionic polynomials Falcão Approved The processes of evaluating and factoring real or complex polynomials are very important problems and had received a lot of attention over the years. In the ring of quaternionic polynomials new proble . . . Read More

Recurrence relations for hypercomplex orthogonal polynomials Cacao Approved The theory of orthogonal polynomials of one real or complex variable and its generalization to higher dimensions is well established. Hypercomplex function theory (or Clifford analysis) provides an al . . . Read More

Quaternionic polynomials with multiple zeros: a numerical point of view Miranda Approved There are a lot of rootfinding algorithms especially designed for real or complex polynomials. Most of these methods however face difficulties in dealing with multiple roots or clusters of roots.
The . . . Read More

Zeros and singularities of slice regular functions over alternative *-algebras Stoppato Approved The theory of slice regular functions over real alternative ∗-algebras has been introduced in [Ghiloni, Perotti, 2011] as a higher-dimensional generalization of the theories of: holomorphic complex fu . . . Read More

Constructing multivariate polynomials in function theories over non-commutative algebras Malonek Approved The theory of polynomials in one or several variables is, in general, divided into three main parts, namely algebra, analysis, and geometry of polynomials. However, the division lines between these ar . . . Read More

Towards a quaternionic function theory linked with the Zernike spherical polynomials Morais Approved It is truly uncommon that a paper that has been set aside for almost eighty years finds its way back to scientific spotlight. Yet this is exactly what the 1934 paper by F. Zernike’s Nobel prize has ac . . . Read More

Poster on: Double Conformal Space Time Algebra Hitzer Approved First author: Robert Benjamin Easter.
We introduce the double conformal version of space-time algebra based multivector modeling of quartic and general quadric surfaces, Darboux cyclides, Dupin cycli . . . Read More

Total Abstracts: 9

#### S18. Recent Integral Transforms Advances (RITA)

The papers in this session are expected to cover new and recent developmental advances in the theory of Integral transforms and consequent application aspects in mathematics areas as well as in variou . . .Read More

Title Author Status Abstract
New approach for accelerating the non linear Schwarz iterations Nagid Approved A new approach using the vector epsilon algorithm is considered to accelerate the convergence of vector sequences derived from the discretization of non linear PDEs in the context of domain decomposit . . . Read More

Applications of the Sumudu Transform to Bernoulli Numbers and Polynomials Ahmed Approved In the present paper, we apply the Sumudu transform to the Bernoulli generic function (BGF), then the properties of this transformation are examined, in the goal of
re-extract some properties of Berno . . . Read More

Applications of the Sumudu Transform to Euler Numbers and Polynomials Ahmed Approved The aim of this paper is to derive some properties of Euler numbers and Polynomials using the Sumudu transformation, we apply this transformation to the Euler
generic function (EGF), then we used the . . . Read More

Total Abstracts: 3

#### S19. Wavelets Analysis, Fractional Advances and Applications (WAFAA)

Abstract:
The papers in this session are expected to cover recent and state of the art computational techniques and schemes pertaining to applications with waves, wavelets, fractals and fractional cal . . .Read More

Title Author Status Abstract
Numerical Solution of Linear Quadratic Optimal Control Problems using CAS Wavelet Operational Matrix of Derivative Ahmed Approved In the present paper, a new CAS wavelet operational matrix of derivative is presented. After presenting relevant properties of the CAS wavelet, we apply its connected
operational matrix to differentia . . . Read More

Total Abstracts: 1

#### Aspects Integres dans les Mathematiques de Abbas Bahri- a Loving Eulogy II. (AIMABLE II)

In this this session presenters are welcome to present any aspects or connections to the Mathematics of the late Abbas Bahri, whether be of technical, professional, respect or simply of feeling and eu . . .Read More

Abstracts are being reviewed. A list of approved abstracts will appear soon.

#### M4: Modern approximation methodologies for functions and arrays in science and engineering computions

This mini symposium welcomes the contributions for the following topics mainly. However, some other areas which are closely related to the title issue and not listed below can also be considered to ha . . .Read More

Title Author Status Abstract
A Numerical Comparision between Bivariate Enhanced Multivariance Products Representation and Smoothing Bicubic Spline Method Tuna Approved \documentclass[12pt]{article}
High Dimensional Model Representation (HDMR) with Clustering for Image Retrieval Tunga Approved \documentclass{article}
\ . . . Read More

A TMEMPR Based Approach for Transforming Arrowheaded Matrices to Tridiagonal Forms OKAN Approved \documentclass[12pt]{article}

Certain Implementative Applications of Separate Node Ascending Derivatives Expansion (SNADE) Bodur Approved \documentclass[12pt]{article}

Transformational Tridiagonal Folmat Enhanced Multivariance Products Representation (TTFEMPR) Possibilities in Multivariate Array Decomposition Gündoğar Approved \documentclass[12pt]{article}

Face Recognition using Tridiagonal Matrix Enhanced Multivariance Products Representation (TMEMPR) Korkmaz Özay Approved This study aims to retrieve face images from a database according to
a target face image. For this purpose, Tridiagonal Matrix Enhanced
Multivariance Products Representation (TMEMPR) is taken into con . . . Read More

An Implementative Application of Probabilistic Evolution Theory : A Case Study for Two Particles Celestical Mechanical System TATAROGLU Approved \begin{center}
{\bf{Elif Tataro\u glu and Metin Demiralp}} \\
{\textit{\.Istanbul Technical University, Informatics Institute, %
34469, Turkey (T\”URK\.IYE)}} %
\end{center}
\vskip1cm
\noindent In thi . . . Read More

A Wavefunction Free Exponential Function Expectation Value Determination Based ODE Construction and Solution to Get Spectral Entities For the Systems Having Coulombic Attractions Kalay Approved \documentclass[12pt]{article}

Recovery of Missing Data via Wavelets Followed by High-Dimensional Modeling Gürvit Approved In a scientiﬁc research missing observations can pose serious problems, aﬀect the bias and can lead to misleading conclusions. Moreover missing data can make the construction of a mathematical model i . . . Read More

Multivariate Numerical Integration via Fluctuationlessness Theorem: Case Study Baykara Approved In this work we come up with the statement of the Fluctuationlessness theorem recently conjectured and proven by M. Demiralp and its application to numerical integration of univariate functions by res . . . Read More

A Novel Compression Algorithm for Hyperspectral Images Using Enhanced Multivariance Products Representation Tuna Approved A Novel Compression Algorithm for Hyperspectral Images Using
Enhanced Multivariance Products Representation
Aleksei Sukhanov, Süha Tuna, Behçet Uğur Töreyin
İstanbul Technical University, Informatics . . . Read More

More Practicalization of Probabilistic Evolution Theory: Case Studies for the Squariﬁcation of Telescope Matrices Kırkın Approved \begin{center}
{\bf{Melike Ebru K\i rk\i n and Metin Demiralp}} \\
{\textit{\.Istanbul Technical University, Informatics Institute, %
34469, Turkey (T\”URK\.IYE)}} %
\end{center}
\vspace{0.5cm}
%%%
Th . . . Read More

A Space Pruning Approach to the Determination of Spectral Entities for a Quantum System Described by a Singular Potential Kalay Approved The space pruning approach is not a newly proposed idea and it finds its roots in late 1980s
when it was first proposed by M. Demiralp for the determination of spectral entities for
certain Coulombic . . . Read More

Squarification of Telescope Matrices in the Probabilistic Evolution Theoretical Approach to the Two Particle Classical Mechanics as an Illustrative Implementation Gozukirmizi Approved There has been an increasing tendency in the Group for Science and Methods of Computing
(Demiralp’s group) to develop an analytical method for the construction of solutions to the
explicit ordinary di . . . Read More

Classical Symmetric Fourth Degree Potential Systems In Probabilistic Evolution Theoretical Perspective: Most Facilitative Conicalization and Squarification of Telescope Matrices Gozukirmizi Approved The companion paper of the second author includes a sufficiently comprehensive introduction
to the quite recently developed Probabilistic Evolution Theory. Therein, the basic issues in this
theory are . . . Read More

Overflow Removal from the Images of an Infinite Linear Combination Over a Basis Function Set Under the Quantum System Hamiltonian to Evaluate the System’s Spectral Entities Abdulbaki Baykara Approved We focus on a single particle quantum system having one degree of freedom such that the
particle’s position can vary only in a finite interval of the real axis. This means that the wave
function of th . . . Read More

Total Abstracts: 16

#### M2: Engineering Mathematics: wavelets, fractals, networks and matrices in computational electromagnetics, antennas, fluid dynamics and biomathematics.

Abstract: This special section is devoted to Engineering Mathematics. Special focus is on the theory and applications of wavelets, fractals and networks. The fundamental role of applied matrix analy . . .Read More

Title Author Status Abstract
Double diffusive convection in a Porous Medium Layer Saturated with an Oldroyd Nanofluid Umavathi Approved J.C. Umavathi and Maurizio Sasso
Department of Engineering, University of Sannio, Piazza Roma 21, 82100 Benevento, Italy.
The onset of double diffusive convection in a horizontal layer of a porous me . . . Read More

Numerical methods and asymptotic expansions for multi-paramenter stochastic differential equations modeling Canhanga Approved State of art, after Black-Scholes proposed in 1973 a model for pricing European Options under constant volatilities, Christoffersen in 2009 empirically showed “why multi factor stochastic volatility m . . . Read More

Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes Silvestrov Approved Dmitrii Silvestrov
Stockholm University
E-mail: silvestrov@math.sus.se
Sergei Silvestrov
Mälardalen University
E-mail: sergei.silvestrov@mdh.se
New algorithms for computing asymptotic expansions for s . . . Read More

Lie group analysis for MHD boundary layer flow and heat transfer over stretching sheet with viscous dissipation and uniform heat source Metri Approved Prashant G Metri*, Emanuel Guariglia* and Sergei Silvestrov*
*Division of Applied Mathematics, UKK, Mälardalen University , Västerås, Sweden
An analysis for the MHD boundary layer flow and heat transf . . . Read More

INFLUENCE OF THE MAGNETIZATION VECTOR MISALIGNMENT ON RING PERMANENT MAGNET POSITIONED ABOVE SOFT MAGNETIC CILINDER Vuckovic Approved Ana VUČKOVIĆ*, Nebojša RAIČEVIĆ*, Mirjana PERIĆ*, Željko HEDERIĆ**
*University of Niš, Faculty of Electronic Engineering, Niš, Serbia
** J.J. Strossmayer University of Osijek, Faculty of Electrical E . . . Read More

Influence of metallization thickness on microstrip lines characteristic parameters distribution Peric Approved The effect of microstrip lines metallization thickness is very important for successful monolithic microwave integrated circuits (MMICs) optimization and design. In many cases, due to limitations of m . . . Read More

Thermocapillary flow of a non-Newtonian nanoliquid film over an unsteady stretching sheet Narayana Approved Mahesha Narayana*, Prashant G Metri** ***, Sergei Silvestrov**
*Department of Mathematics, M. S. Ramaiah University of Applied Sciences, Bangalore, Karnataka, India
**Division of Applied Mathematics, . . . Read More

Hypergeometric Steady Solution of Hydromagnetic Nano Liquid Film Flow over an Unsteady Stretching Sheet Metri Approved Prashant G Metri*, Mahesha Narayana** and Sergei Silvestrov*
*Division of Applied Mathematics, UKK, Mälardalen University , Västerås, Sweden
**Department of Mathematics, M. S. Ramaiah University of Ap . . . Read More

Multi-Peaked Analytically Extended Function Representing Electrostatic Discharge (ESD) Currents Rancic Approved Karl Lundengård*, Milica Rančić*, Vesna Javor**, Sergei Silvestrov*
* Division of Applied Mathematics, UKK, Mälardalen University (MDH), Västerås, Sweden
** Department of Power Engineering, University . . . Read More

Data Classifications with Support Vector Machines and Generalized Support Vector Machine Qi Approved In the paper, we study the theory of support vector machine and the using for linear and nonlinear classication of data. And we also used the notion of generalized support vector machine for data cla . . . Read More

Fractional derivative of the Zeta Functions and Functional Equations Guariglia Approved Emanuel Guariglia*, Sergei Silvestrov**
* Department of Physics “E. R. Caianiello”, University of Salerno, Fisciano, Italy
** Division of Applied Mathematics, UKK, Mälardalen University , Västerås, Sw . . . Read More

INFLUENCE OF NOZZLE SHAPE, REYNOLDS NUMBER AND NOZZLE-TO-PLATE DISTANCE ON FLOW CHARACTERISTICS, WALL SHEAR RATE AND MASS TRANSFER GENERATED BY SUBMERGED ROUND IMPINGING JETS Montagné Approved Brice MONTAGNÉ (1) , Kodjovi SODJAVI (1), Amina MESLEM (2), Vaclav SOBOLIK (1)
(1) Laboratoire des Sciences de l’Ingénieur pour l’Environnement (LaSIE), Pôle Sciences et Technologie – Avenue Michel Cr . . . Read More

Calculating PageRank in a changing network Silvestrov Approved PageRank is a method which is used to rank the nodes of a network such as the network consisting of the webpages on the Internet and the links between them, other information and communication network . . . Read More

Passive control of supplied air jets for thermal comfort improvement in ventilated spaces Pierre Approved Mixing ventilation is commonly used to control thermal comfort in a room by means of air jets generated from diffusers. Diffusers should distribute the fresh air and energy for heating or cooling, in . . . Read More

Multi-Peaked Analytically Extended Function Representing Electrostatic Discharge (ESD) Currents Lundengård Approved A number of current functions have been proposed in the literature to model the electrostatic discharge (ESD) currents. They are mostly based on exponential functions. Double exponential function or i . . . Read More

Power series expansion of functions involving generalized Vandermonde matrices Österberg Approved Explicit expressions for power series expansions of functions involving generalized Vandermonde matrices are presented.
Many generalizations of Vandermonde matrices exist. Some considered generalizati . . . Read More

Identification and functional characterization of a glioma specific retroviral integration landscape Weishaupt Approved A variety of different methods, including the Sleeping Beauty and PiggyBac transposon systems as well as retroviruses, are currently used for the tagging of cancer genes in forward genetic screens. Co . . . Read More

Test Application for Support Vector Machines: The Estimation of Adults’ Cognitive Skills through Certain Kernel Types based on WAIS-R Karaca Approved Test Application for Support Vector Machines: The Estimation of Adults’ Cognitive Skills through Certain Kernel Types based on WAIS-R
Abstract
Wechsler Adult Intelligence Scale—Revised (WAIS-R) is a . . . Read More

Iterated function systems, wavelets, fixed points, fractal attractors and commutative and non-commutative families of operators Silvestrov Approved In this talk I will present some results and constructions connecting iterated function systems, wavelets, fixed points, fractal attractors and commutative and non-commutative families of operators

Total Abstracts: 19

#### M3: Mathematical modeling, numerical algorithms and aerospace techniques

Abstract: The session is dedicated to contributions on fluid mechanics, optimization and control from aerospace with application to various problems such as renewable energy problems.
Our session incl . . .Read More

Title Author Status Abstract
Bifurcation of transonic flows admitting a shock wave/ sonic surface interaction Kuzmin Approved In the 1990s and 2000s, numerical simulations revealed an instability of the 2D transonic flow over airfoils comprising a flat or nearly flat arc [1]. The instability is caused by an interaction of do . . . Read More

Using Potential Flow Theory and Conformal Mapping Technique to Measure Pressure Differential on Airfoil Mughal Approved Flow around an airfoil to calculate pressure co-efficient variations at different relative velocities have always been an important/basic part of Aerodynamic Study. Potential flow theory is used to st . . . Read More

Stability of shallow flows: a weakly nonlinear approach Kolyshkin Approved We analyze stability of shallow flows with free surface using weakly nonlinear theory.
Resistance forces in the system of equations are modeled using the Chezy formula. Previous studies
in a weakly n . . . Read More

Modelling of delamination growth in laminated plates using cohesive zone model techniques Chernyakin Approved The damage growth of delamination in composite structure was investigated numerically. An effective approach based on a cohesive zone model is proposed to simulate the delamination propagation in the . . . Read More

Finite element analysis of panels with surface cracks Chernyakin Approved Dangerous conditions to the aerospace structures can often be caused by different defects which occur in the panels. Non-through surface cracks attract particular interest. Generally these cracks have . . . Read More

Fatigue life prediction for expansion bellows Chernyakin Approved In this paper the expansion bellows which was designed to make compensation for the mutual axial displacement of the fuel line flanges is considered.
The aim of this study to evaluate the performance . . . Read More

Numerical Analysis of NREL VI Wind Turbine Rotor Performance Cernat Approved In the present study, a number of RANS simulations were performed on the well-known NREL VI wind turbine rotor. The simulations are based on finite volume method performed to characterize in detail th . . . Read More

Numerical Study of Aerodynamic Effects on Road Vehicles Lifting Surfaces Cernat Approved Road vehicles aerodynamic performance analysis depends on the study of engine intake and cooling flow, internal ventilation, tire cooling, and overall external flow as the motion of air around a movin . . . Read More

THE EFFECT OF WIND DIRECTION AND BUILDING SURROUNDINGS ON A MARINA BAY IN THE BLACK SEA Katona Approved The wind effect has usually a major importance in the marina bay. These environmental sites are an interplay between tourist and commercial activities, requiring a high-detailed and definition studies . . . Read More

Non Lyapunov stability of a constant spatially developing 2-D gas flow Tanasie Approved Different types of stabilities (global, local) and instabilities (global absolute, local convective) of the constant spatially developing 2-D gas flow are analyzed in the phase space of continuousl . . . Read More

Lyapunov stability of a spatially developing constant 2D gas flow Szabo Approved The Lyapunov stability of a spatially developing constant 2D gas flow is analyzed in a particular infinite dimensional phase space. The elements of the phase space are continuously differentiable func . . . Read More

Non Lyapunov stability of the constant spatially developing 1-D gas flow in presence of solutions having strictly positive exponential growth rate Balint Approved Different types of stabilities (global, local) and instabilities (global absolute, local convective) of the constant spatially developing 1-D gas flow is analyzed in the phase space of continuously . . . Read More

Rationality of Large Mass Method for Frequency Response Analysis Mehmood Approved Most of previous work on Large Mass (LM) Method by Kim Y.-W. and Jhung, M. J.for dynamic problems is related to the study of transient responses. This paper discusses the numerical effectiveness of La . . . Read More

Numerical study of a finite volume scheme for incompressible Navier-Stokes equations based on SIMPLE-family algorithms. Alahyane Approved In this work, we present a numerical study of a finite volume scheme based on SIMPLE algorithm for incompressible Navier-Stokes problem. However, this algorithm still not applicable to a large categor . . . Read More

Twin Flapping wings as an alternative method of harvesting energy from wind Alexandru Approved F. Frunzulica*,**, Al. Dumitrache**, M. Stoia-Djeska*
*POLITEHNICA University of Bucharest, Faculty of Aerospace Engineering, Polizu 1-6, RO-011061, Bucharest, Romania
Institute of Mathematical Statis . . . Read More

ANALYSIS OF CONTROL SYSTEM RESPONSES FOR AIRCRAFT STABILITY AND EFFICIENT NUMERICAL TECHNIQUES FOR REAL-TIME SIMULATIONS ANDREI Approved The objectives of this paper are the study and the implementation of both aerodynamic and propulsion models, as linear interpolations using look-up tables in a database. The aerodynamic and propulsion . . . Read More

PERFORMANCE ANALYSIS AND DYNAMIC MODELING OF A SINGLE-SPOOL TURBOJET ENGINE ANDREI Approved The research performed in this paper is focused on two main directions. The first objective is represented by the modeling a single-spool turbojet engine such that to calculate its performances for a . . . Read More

The Buckling Analysis of Elements of Stiffened Aircraft Structure Borisova Approved Investigation of stability of stiffened cylindrical thin shells involves great mathematical difficulties, connected with sufficiently high order of equations. These difficulties in most cases eliminat . . . Read More

Considering factorial series as time integration method Razafindralandy Approved Recently, a time integration method of ODE’s and PDE’s, based on a Taylor series decomposition of the solution, has been proposed. In this method, the series decomposition is followed by a Borel summa . . . Read More

Nonlinear analysis and control of an aircraft in the neighbourhood of deep stall KOLB Approved When an aircraft is locked in a stable equilibrium at high angle-of-attack, we have to do with the so-called deep stall which is a very dangerous situation. Airplanes with T-tail are mainly concerned . . . Read More

Nasedkin A.V., Nasedkina A.A., Kornievsky A.S. Modeling of nanostructured porous thermoelastic composites with surface effects Nasedkin Approved The paper considers an integrated approach to the determination of the material properties of nanoscale thermoelastic bulk (mixture) stochastically distributed composites of an arbitrary anisotropy cl . . . Read More

Aerodynamics investigations of a disc-wing UAV Florin Approved Alexandru DUMITRACHE**, Florin FRUNZULICA*,**, Sorin GRIGORESCU*,
Bogdan SUATEAN (PhD)*
*POLITEHNICA University of Bucharest, Romania
**Institute of Mathematical Statistics and Applied Mathematics, . . . Read More

Total Abstracts: 22

#### M5: Nonlinear Problems of Guidance, Navigation and Control

Abstract: The session topic is focused on modeling, nonlinear mathematical and computational research of the guidance, navigation and control systems for both information satellites, space astronomica . . .Read More

Title Author Status Abstract
Attitude guidance and control of the GLONASS navigation satellites at passage of singular orbit sites Somov Approved We have considered a logic of the GLONASS spacecraft (SC) attitude guidance laws during their passage of the singular orbit sites, namely large and small angles between the Sun and Earth directions ap . . . Read More

Guidance and adaptive-robust attitude & orbit control of a small information satellite Somov Approved We have considered a small information satellite (for communication, radio-electronic and optoelectronic land-survey, etc.) which may be placed into an orbit with altitude from 600 to 1000 km. Diffe . . . Read More

Estimation of Land Remote Sensing Satellites Productivity Based on the Simulation Technique Kucherov Approved While designing land remote sensing satellites (LRSS), it is essential to satisfy the requirements to their efficiency indices. One of the most important efficiency indices is the satellite productivi . . . Read More

Attitude guidance and simulation with animation of a land-survey satellite motion Somova Approved Nonlinear guidance problem has been solved for a land-survey satellte with analytical representation of the optimal angular guidance laws at scanning observation with given accuracy. A solving o . . . Read More

Time-Optimal Control of the Spacecraft Trajectories in the Earth-Moon System Fain Approved This paper outlines the multiparametric optimization of the L1-L2 and L2-L1 missions in the Earth-Moon system using electric propulsion. The optimal control laws are obtained using the Fedorenko succe . . . Read More

Methods for Predicting Unsteady Takeoff and Landing Trajectories of the Aircraft Shevchenko Approved Processes takeoff roll and ground braking on the runway are essentially nonlinear and nonstationary. These phases of the flight mission are performed with the participation of the pilot. Being under t . . . Read More

Nonlinear Modeling and Study for Control of the Research Spacecraft with Solar Sail Khabibullin Approved This paper outlines the mathematical motion model of the research spacecraft that uses solar sail instead of an engine and a propellant. The mathematical motion model for solar sail spacecraft is form . . . Read More

Nonlinear Algorithm for Navigation of a Moving Object in Magnetic Field Shevchenko Approved Consideration was given to the problem of relative positioning with the use of alternating magnetic ﬁeld. The problem was shown to be solvable using a system of three magnetic dipoles emitting magneti . . . Read More

An analytic approach to the relation between GPS attitude determination accuracy and antenna configuration geometry Kozlov Approved The reliability and accuracy of GPS attitude determination are still the main relevant theoretical questions. While the first one derives from the probabilistic nature of phase ambiguity resolution al . . . Read More

Block Design of Tracking Systems under Unmatched Disturbances via Sigmoidal Feedbacks Kochetkov Approved The paper deals with the tracking output variables of quasi-canonical system for given signals under unmatched external disturbances and functional uncertainties within the restrictions on state varia . . . Read More

Application of GNSS-INS simulator for testing algorithms of the airborne vector gravimetry problem. Bogdanov Approved Laboratory of Control and Navigation of Lomonosov Moscow State University in cooperation with several Russian companies is involved into the project of GNSS-INS simulator elaboration. The first versio . . . Read More

Tracking problem for electromechanical system under influence of unknown unmatched perturbation Kochetkov Approved The theory of relay systems is widely used for design of electromechanical systems. In particular, modern electric drives are supplied by power electronic converters that have switching nature, and us . . . Read More

Estimation of Land Remote Sensing Satellites Operational Efficiency Kucherov Approved One of the most advanced approaches in spacecraft designing is based on regard for required efficiency indices.
As to land remote sensing satellites (LRSS), these indices are surveillance frequency, g . . . Read More

Arrangement of spacecraft onboard equipment with minimizing the influence of external factors Shulepov Approved We consider actual problems on protection of the spacecraft onboard equipment for decreasing influence of external environment. The problems are studied at design of spacecraft and a flight support of . . . Read More

Nonlinear research of an image motion stabilization system embedded in a space land-survey telescope Somov Approved Unique requirements are presented to an attitude control system of a large-scale maneuvering land-survey satellite on accuracy of its attitude motion stabilization at a scanning optoelectronic observa . . . Read More

NONLINEAR MODELING OF AN AEROSPACE OBJECT DYNAMICS Davydov Approved We present the results on modeling of a complicated aerospace object system motion with consideration of nonlinearities. We have developed a computerized panel that allows to measure mutual influence . . . Read More

Liquid oscillations in the tanks’ level sensors of aerospace objects Davydov Approved We have considered reasons on appearance of longitudinal oscillations in the system of fuel consumption control and the methods for reducing of these oscillations. Valuation of the most significant f . . . Read More

A VLF-based technique for analysis and synthesis of nonlinear digital control systems and its applications Ul’yanov Approved In this paper, the development of a computational technology for rigorous analysis and design of nonlinear digital control systems on the basis of the reduction method and sublinear vector Lyapunov fu . . . Read More

Automation of Multi-Agent Control for Complex Dynamic Systems in Heterogeneous Computational Network Oparin Approved Currently, the organization of multi-agent control is one of the most actually problems in the field for research of complex dynamic systems. Within the framework of such control, system objects are p . . . Read More

On the problem of discrete-event systems properties preservation Nadezhda Approved We present a novel approach to solving a problem generally arising in studying dynamical systems, namely the problem of a system’s properties preservation under some transformation. For example, since . . . Read More

Total Abstracts: 20

#### M1: Functional Analysis and Related Topics with Applications

Abstract:
Functional Analysis and its interaction with PDE are increasingly important areas for mathematical modelling in various kinds of applications both to other fields of Mathematics and to other . . .Read More

Title Author Status Abstract
The dual spaces of new lambda^m-sequence spaces and their matrix maps ERCAN Approved In this paper, we compute alpha-, beta- and gamma- duals of the new BK-spaces. We also give some classes of matrix transformations from these spaces to the spaces of convergent, null-convergent, bound . . . Read More

On spectral properties and invertibility of some operators of Mathematical Physics Rabinovich Approved The main aim of the talk is the Fredholm property,
essential spectrum, and invertibility of some operators of the Mathematical
Physics, such that the Schrödinger and Dirac operators with complex ele . . . Read More

On Weighted Sub-linear Operators in Generalized Morrey Spaces and their applications Samko Approved We prove point-wise estimates of Weighted Sub-linear Operators of a certain class via the sum of the non-weighted such operator, and a combination of Hardy and potential operators. By use of known res . . . Read More

Homogenization and thin film flow Wall Approved Homogenization is the branch of mathematics where partial differential equations with rapidly oscillating coefficients are studied. We will discuss how homogenization can be used to model and analyze . . . Read More

A convexity approach to consider and prove Hardy type inequalities with sharp constants Persson Approved As background I fist give some remarkable details concerning the prehistory before Hardy discovered his famous inequality.
After that I will present a fairly new convexity approach to prove Hardy typ . . . Read More

On the boundedness of Hardy-type operators in Hölder-type spaces Lundberg Approved We present theorems on boundedness of Hardy type operator in Hölder type spaces in multidimensional case. We also discuss the Hölder spaces with compactification and present the corresponding theorems . . . Read More

SIO in non-standard spaces Burtseva Approved We discuss Singular Integral Operators on closed contours in different function spaces.

The concept of very weak multiscale convergence and some applications to homogenization of evolution problems Holmbom Approved We give a brief introduction to two-scale convergence and multiscale convergence. Then we define the notion of very weak multiscale convergence [1], [2] and demonstrate its applicability to various ev . . . Read More

Several estimates for generalized fractional integrals on $\lambda$-$\mathrm{CMO}$ spaces Matsuoka Approved Rencetly, we generalized the modified fractional integrals
${\tilde{I}}_{\alpha}$, whicn modify the fractional integrals $I_{\alpha}$,
and showed the boundedness results of generalized fractional inte . . . Read More

Homogenization of a mathematical model of thin film flow Tsandzana Approved We derive a mathematical model of thin film flow between two close rough
surfaces which are in relative motion. In particular, the model takes
cavitation, surface roughness and pressure dependent dens . . . Read More

Elliptic PDE, and SIO in non-standard spaces Burtseva Approved We discuss Singular Integral Operators and their commutators in some non-standard function spaces, and their applications to partial differential equations.
We also discuss Singular Integral Operator . . . Read More

On a new space of defined by using Orlicz functions A. BEKTAŞ Approved In this paper, we introduce a new paranormed sequence space defined by a sequence of Orlicz functions over a seminormed sequence space. We investigated some properties of this space.

Regularity of solutions to linear elliptic equations in Generalized Morrey Spaces Scapellato Approved The author shows some results obtained in cooperation with Maria Alessandra Ragusa. We prove regularity results, in some Generalized Morrey Spaces, for highest order derivatives of solutions of second . . . Read More

Layer potentials on rough boundaries and fractals Guseynov Approved Oqtay Q. Azizov
Azerbaycan Technical Universitu Riyaziyyat kafedrası, Baku, Azerbaijan
Yevgeniy Guseynov
Policy Research and Analysis Department, PBGC, Washington, DC, USA
Layer potentials on rough bo . . . Read More

Perturbation methods for nonlinear elliptic problems Ragusa Approved

Total Abstracts: 15

#### M6: Studies on Mathematical Methods and Models in Engineering, Sciences and Technology

Abstract: This special session is focused on the mathematical methods and models which need to be constructed by using the tools of mathematics. Generally, it is the most attraction to obtain the rea . . .Read More

Title Author Status Abstract
Applicability Extent of 2-D Heat Equation for Numerical Analysis of Multiphysics Problems Khawaja Approved This work focuses on thermal problems solvable using the Heat Equation. The fundamental question being answered here is what are the limits of the dimensions that will allow a 3-D thermal problem to b . . . Read More

New Complex and Hyperbolic Function Solutions to the Generalized Double Combined Sinh-Cosh-Gordon Equation Baskonus Approved In this study, we have applied the improved Bernoulli sub-equation function method to the generalized double
combined Sinh-Cosh-Gordon equation. This method gives new analytical solutions such as comp . . . Read More

Application of the Modified Exponential Function Method to the Cahn-Allen Equation Bulut Approved In this study, we have applied the modified exp (-Ω(ξ))-expansion function method to the Cahn-Allen equation. We have obtained some new analytical solutions such hyperbolic function solutions. Then, w . . . Read More

Analytical Study of Sandwich Structures using Euler-Bernoulli Beam Equation Khawaja Approved This paper presents an analytical study of sandwich structures. In this study, Euler–Bernoulli beam equation is solved analytically for a four-point bending problem. Appropriate initial and boundary c . . . Read More

Dark Soliton Solutions of Klein-Gordon-Zakharov Equation in (1+2) Dimensions Bulut Approved This study base on dark soliton solutions of Klein-Gordon-Zakharov (KGZ) equation in (1+2) dimensions. The generalized Kudryashov method (GKM) which is one of the analytical methods has been handled f . . . Read More

Modification of perturbation-iteration method to solve different types of nonlinear differential equations Bildik Approved Perturbation iteration method has been recently constructed by Pakdemirli and co-workers. It has been also proven that this technique is very effective and applicable for solving some nonlinear differ . . . Read More

Determining Critical Load in the Multispan Beams with the Nonlinear Model Dönmez Demir Approved In this study, the buckling behaviors of beams are investigated. The general nonlineer mathematical of the beams are derived for multi support case. For some span numbers such as one, two and three, t . . . Read More

Rationality of Large Mass Method for Frequency Response Analysis Mehmood Approved Most of previous work on Large Mass (LM) Method by Kim Y.-W. and Jhung, M. J.for dynamic problems is related to the study of transient responses. This paper discusses the numerical effectiveness of La . . . Read More

Properties of Soft Homotopy in Digital Images Öztunç Approved In this paper first of all it is aimed to define the soft continuity in digital images. Also soft homeomorphism and soft homotopy in digital images is defined by determining soft continuity in digital . . . Read More

Numerical simulations to the nonlinear model of interpersonal Relationships with time fractional derivative Gencoglu Approved The main aim of this manuscript is to obtain numerical solutions for the nonlinear model of interpersonal relationships with time fractional derivative. The variational iteration method is theoretical . . . Read More

Applications of Optimal Perturbation Iteration Method for solving Nonlinear Differential Equations Deniz Approved Perturbation iteration method has been recently constructed and it has been also proven that this technique is very effective and applicable for solving some nonlinear differential equations. In this . . . Read More

Nonlinear Stability and Optimization Techniques: Modeling, Analysis and Computational Methods Cave Approved Nonlinear stability and optimization techniques are modified and briefly outlined in terms of their inherent relationships with one another. This is done by making use of the interrelationships among . . . Read More

A general method for the study of systems of rigid bodies interconnected with the aid of elastic links and the rod Mizhidon Approved As far as investigations of mechanical vibrations of elements of different constructions, parts and mechanisms are concerned, the computational schemes to be investigated are in many cases represented . . . Read More

Solutions of Young-Laplace equation for capillary bridges and stability analysis Millet Approved We revisit from an inverse problem method the exact resolution of the Young-Laplace equation
for capillary doublets. The missing information on the pressure deficiency (which is often an
unknown of th . . . Read More

THE PREDICTION OF BRICK WALL STRENGTHS WITH ARTIFICIAL NEURAL NETWORKS MODEL Demir Approved The aim of this study is to predict with Artificial Neural Networks (ANN) compressive and shear strengths of brick walls plastered with specific stuccos. It is very difficult to determine strengths of . . . Read More

A new version of the generalized F-expansion method and its applications Pandir Approved In this study, a new version of the generalized F-expansion method is suggested to search exact solutions of nonlinear partial differential equations. We find many new and interesting results for Kort . . . Read More

Extended (G’/G)-Expansion Method for non lineer partial equations Tuz Approved In this study, we present a new version of (G’/G)- expansion method by using extended (G’/G)-expansion method which is suggested in [1]. By this method, we find traveling wave solutions of Burgers, . . . Read More

Numerical modelling and experimentation of curtain containing floating oil pollution in harbor MUTTIN Approved Numerical modelling and experimentation of curtain containing floating oil pollution in harbor
Frédéric MUTTIN*, Abdellatif OUANSAFI**, Youssef BENELMOSTAFA**
*EIGSI La Rochelle and ** EIGSICA Casabla . . . Read More

Total Abstracts: 18

### Keynote talks of ICNPAA 2016:

Prof. Jan AWREJCEWICZ, Technical University of Lódz, Poland
Title: Novel non-linear phenomena exhibited by interacting structural members

Prof. Stefan BALINT, West University of Timisoara, Romania
Title: Space-Time Evolution of the Perturbations of a Spatially Developing Constant Gas Flow

Prof. José Manoel BALTHAZAR, ITA-Aeronautics Technological Institute, Mechanical-Aeronautics Division, Brazil
Title:A tour of nonlinear dynamic analysis of a flexible slewing structures, excited by non-ideal sources (nis),using sma actuators and including parameter sensibility analysis

Dr. Itzhak BARKANA, Barkana Consulting, 11 Hashomer St., Ramat Hasharon, Israel
Title: Can Stability Analysis be really simplified? (Revisiting Lyapunov, Barbalat, LaSalle and all that)

Prof Francesco Dell'isola, University of Rome, Italy
Title: “TBA”

Prof. Metin DEMIRALP, Istanbul Technical University, Turkey
Title: Enhanced multivariance products representation (empr) from scratch to its most recent status

Prof Marc Garbey, University of Houston, USA
Title: “TBA”

Prof. Rudolf HILFER, Institut für Computerphysik, Universität Stuttgart, Germany
Title: ""Experimental implications of Bochner-Levy-Riesz diffusion""

Prof. Harry H. HILTON, University of Illinois at Urbana-Champaign, USA
Title: The influence of time dependent flight and maneuver velocities and elastic or viscoelastic flexibilities on aerodynamic and stability derivatives

Prof Naira Hovakimyan, University of Illinois at Urbana-Champaign, USA
Title: “Cooperative Control of UAVs”

Prof. Gangaram S. LADDE, University of South Florida, USA
Title: "TBA"

Prof Irena Lasiecka, The University of Memphis, USA
Title: “How to control flutter arising in flow structure interactions”

Dr. Jiro NAKAMICHI, Japan Aerospace Exploration Agency (JAXA), Japan
Title: Some Considerations on Prandtl Lifting-Line Theory

Prof. Ruggero Maria Santilli, Thunder Energies Corporation , USA
Title: outline of the new era in mathematics and its applications

Prof Sergei Silvestrov, Mälardalen University, Sweden
Title: "Engineering Mathematics for big data networks and computational electromagnetics. ”

Dr. Toshiya Nakamura, Japan Aerospace Exploration Agency (JAXA), Japan
Title: Operational Loads Identification for Aerospace Structures

Prof.Takeshi Tsuchiya, University of Tokyo, Japan
Title: Research on Advanced Flight Control System Using UAV

Prof..Aghalaya Vatsala, Lousiana State University, USA
Title: Riemann Liouville Dynamic systems versus sequential Caputo dynamic systems with applications

Prof. S.N. VASSILYEV, Trapeznikov Insitute of Control Sciences of RAS, Moscow, Russia
Title: Differential equations, Invariants and Qualitative Properties of Solutions

#### General Sessions

General Sessions

Title Author Status Abstract
Optimization of Wall Thickness and Lay-Up for the Shell-Like Composite Structure Loaded by Non-Uniform Pressure Field Shevtsov Approved S. Shevtsov1,2,a), I. Zhilyaev1,2,b), P. Oganesyan2,c), I, Tarasov3,d, V. Axenov4,5,e)
1 South Center of Russian Academy, 344006, Tchekhov str., 41, Rostov on Don, Russia
2 Southern Federal University . . . Read More

Nasedkin A.V. Models and finite element approximations for interacting nanosized piezoelectric bodies and acoustic medium Nasedkin Approved This research presents the new size-dependent models of piezoelectric materials oriented to finite element applications. The proposed models include the facilities of taking into account different mec . . . Read More

Second Law considerations for Fourier Heat Conduction in relation to intermolecular potentials Jesudason Approved %the form I am submitting a latex document
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\textwidth=15cm \hoffset=-1.2cm %
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\d . . . Read More

Atmospheric Icinig Intensity on Slowly Rotating Hexagonal Prism and Cylinder with Fins Mughal Approved Atmospheric ice accretion intensities on constantly slowly rotating hexagonal prism with six fins and constantly slowly rotating cylinder with four fins were studied using experimental and mathematica . . . Read More

Total Abstracts: 4

### The Beauty of Simple Adaptive Control and Old and New results in Stability Analysis of Nonlinear Systems

Intructors: Itzhak Barkana. Haim Weiss, Ilan Rusnak
Keywords: Control, Adaptive Control, Positive Realness and Passivity, Lyapunov methods; Barbalat’s Lemma, LaSalle’s Invariance Principle, New Theorem of Stability
Abstract Simple Adaptive Control (SAC) techniques have initially been conceived because of the need for adaptive control methods in large-scale systems, where the use of models and controllers of the order of the plant was naturally excluded. While initially SAC was considered (even by its own developers) to be just a modest version of the standard MRAC, the workshop shows that it was only before appropriate mathematical tools of analysis (that could reveal its real potential yet were missing at the time) had been developed. Further developments showed that they can easily be applied to such applications as robots, planes, missiles, satellites, fine motion control, etc. The talk explains how various drawbacks related to the classical Model Reference Adaptive Control (MRAC) methodology have been addressed and eliminated. To this end, it will be shown that the conditions needed for robust stability have been significantly mitigated. Recent developments in nonlinear systems stability analysis tools lead to clear proofs of SAC stability in real-world application and realistic environments. Previously unstable “counterexamples” to MRAC are revisited and shown to be just simple, successful, and stable applications of SAC. Realistic examples from various domains of flight control, guidance and aerospace are also used to show that indeed SAC is the Stable Direct MRAC methodology. A non-minimum-phase and unstable UAV will be used as a detailed case-study to illustrates show the simplicity of implementation of SAC as an Add-On to classical control design towards improving performance beyond anything that could be obtained otherwise.
To this end, although Lyapunov stability theory is the customary basis of any modern stability analysis, its direct application requires fitting to the system a Positive Definite function whose derivative ”along all trajectories of the system” is Negative Definite. If this is the case, it is easy to see that both the Lyapunov function and its derivative ultimately vanish and therefore, one can reach the desired conclusion of asymptotic stability. However, because in most non-trivial problems the derivative is at most Negative Semi-Definite, various extensions to the basic Lyapunov stability theory have been sought. Because early extensions of Lyapunov stability theory were only covering autonomous systems of the form , various alternatives were sought for nonautonomous systems of the form . In particular, a successful alternative has been provided by Barbalat Lemma that under some conditions allowed concluding that the Lyapunov derivative ultimately vanishes and therefore, as many examples illustrated, asymptotic stability conclusions could be drawn. Texts on Nonlinear Control gave various formulations intending to mitigate prior conditions that would facilitate application of Barbalat Lemma to stability analysis. However, Barbalat Lemma that deals with function theory and not necessarily with theory of systems stability imposes conditions of uniform continuity of functions and even continuity of derivatives that again could limit its applicability. Besides, even when applicable, it only ends with partial results. As even recent publications illustrate, although extensions of LaSalle's Invariance Principle to nonautonomous systems have been available at least since 1976, they have remained surprisingly unknown for large circles of the nonlinear control community. Moreover, even if assumably known, misinterpretations of its larger mathematical scope (that covers much more than mere asymptotic stability) may have misled the prospective users with respect to its usefulness. It is hoped that the review of LaSalle’s Invariance Principle along with a new extended Invariance Principles and the comparative parallel presentation of various alternatives to stability analysis may help showing the extreme efficiency of the new Theorems of Stability to nonlinear systems stability analysis.
Outline Review of need for adaptation Life is with uncertainty: need various gains for various situation, either change in nominal parameters or various operational conditions Nonstationary gains: right gains at right times. Good idea, yet… must be careful. Example: The danger of “safe” fixed control in nonstationary environments Model Reference Adaptive Control (MRAC) First Adaptive Control ideas: ingenious and failure Basic MRAC: First rigorous proofs, problematic SPR conditions “Classical” MRAC: Stability in ideal situations , problems otherwise:- Persistent excitation - Bursting, etc. - Unmodeled dynamics Simple Adaptive Control (SAC) From MRAC towards Simple Adaptive Control (SAC) - Can Adaptive Control use and extend ideas from Optimization to the world of uncertainty? The Simple Adaptive Control (SAC)-Minimum Phase and conditions on CB-Claim and Proof: Same conditions that allow LTI design also guarantee stability with SAC. Advantage: the guarantee of stability allows reaching superior performance.-Nonstationary and Nonlinear systems-On Robustness
and Perfect Tracking -Robustness with Noise -Discrete-time systems -Continuous mitigation of stability conditions -Gentle introduction of Stability conditions in Engineering terms Brief review of stability analysis for nonlinear systems. Lyapunov stability approach: examples and limitations Simple example and LTI example First extensions: Krasovskii and LaSalle, The Invariance Principle for Autonomous systems only First extension for Nonautonomous systems: Barbalat’s Lemma: the apparent need for uniform continuity (and the implied ‘threat” of discontinuity). Further extensions: (The real and ignored) LaSalle’s Invariance Principle for Nonautonomous systems The new Invariance Principle The new Theorem of Stability: simple and safe tool for proofs of stability Example problems Application of SAC Approach Unstable MRAC “counterexamples” become simple examples for SAC Explicit design case: Combining Classical LTI design and SAC guarantee stability and lead to superior performance for Non-minimum Phase UAV. Missile Flexible structures: new developments relax the need for collocation Example Problems Advanced issues (time permitting): gain convergence, participants proposed examples

RECOMENDED REFERENCES
1) H. Kaufman, I. Barkana, K. Sobel: Direct Adaptive Control Algorithms, Springer 1998 (2nd edition)
2) I. Barkana: "Parallel Feedforward and Simplified Adaptive Control," International Journal of Adaptive Control and Signal Processing, Vol. 1, No. 2, pp. 95-109, 1987.
3) I. Barkana: "Classical and Simple Adaptive Control Design for a Non-Minimum Phase Autopilot," AIAA Journal of Guidance, Control and Dynamics, Vol. 28, No. 4, pp. 631-638, 2005.
4) I. Barkana: “Extensions on Adaptive Model Tracking with Mitigated Passivity Conditions,” Chinese Journal of Aeronautics, Vol. 26, No. 1, 2013, pp. 136-150.
5) I. Barkana: “Simple Adaptive Control - A Stable Direct Model Reference Adaptive Control Methodology- Brief Survey,” International Journal of Adaptive Control and Signal Processing, Vol. 28, No. 7-8, pp. 567-603, July 2014, (Published On-Line 17 June 2013) DOI: 10.1002/acs.2411.
6) I. Barkana: “Robustness and Perfect Tracking in Simple Adaptive Control,” International Journal of Adaptive Control and Signal Processing, Published On-Line in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/acs.2411.
7) I. Barkana: “Parallel Feedforward and Simple Adaptive Control of Flexible Structures: First order-pole instead of collocated velocity sensors?,” ASCE’s Journal of Aerospace Engineering (Published On-Line). DOI: 10.1061/(ASCE)AS.1943-5525.0000538.
8) LaSalle JP: “Stability of Nonautonomous systems,” Nonlinear Analysis, Theory, Methods and Applications 1976; 1(1): 83–90.
7) LaSalle JP. The Stability of Dynamical Systems, 2nd ed. SIAM: New York, 1976.
9) Z. Artstein: “Limiting equations and stability of nonautonomous ordinary differential equations,” Appendix A in: LaSalle, The Stability of Dynamical Systems, 2nd ed., SIAM, New York, 1976.
10) Z. Artstein: "Uniform asymptotic stability via the limiting equations," J. Differential Equations, vol. 25, pp. 184–202, 1977.
11) Z. Artstein: "Uniform asymptotic stability via the limiting equations," J. Differential Equations, vol. 27, pp. 172â˘A ¸ S-189, 1978.
12) I. Barkana: “Defending the Beauty of the Invariance Principle," International Journal of Control, Vol. 87, No. 1, pp. 186-206, 2014.
13) Ilan Rusnak, Haim Weiss and Itzhak Barkana: “Improving the Performance of Existing Missile Autopilot using Simple Adaptive Control,” International Journal of Adaptive Control and Signal Processing, Vol. 28, No. 7-8, pp. 732-759, July 2014. DOI: 10.1002/acs.2457.
14) Ulrich, S., and Sasiadek, J. Z., “Decentralized Simple Adaptive Control for Nonlinear Systems,” International Journal of Adaptive Control and Signal Processing, Vol. 28, No. 7-8, pp. 750-763, 2014. doi:10.1002/acs.2446
15) I. Barkana: The new Theorem of Stability – Direct Extension of Lyapunov Theorem. Mathematics in Engineering, Science and Aerospace (MESA), Vol. 6, no. 3, pp. 519-535, 2015.
16) I. Barkana: The Beauty of Simple Adaptive Control and New Results in Stability Analysis of Nonlinear Systems. ICNPAA 2014.
17) I. Barkana: “Parallel Feedforward and Simple Adaptive Control of Flexible Structures: First order-pole instead of collocated velocity sensors?” ASCE’s Journal of Aerospace Engineering (Published On-Line) DOI: 10.1061/(ASCE)AS.1943-5525.0000538.
18) I. Barkana: “Robustness and Perfect Tracking in Simple Adaptive Control,” International Journal of Adaptive Control and Signal Processing (2015). Published online in Wiley Online Library (wileyonlinelibrary.com). DOI: 10.1002/acs.2573).
19) I. Barkana: Barbalat’s Lemma and Stability - Misuse of a correct mathematical result? BARKANA Consulting Technical Report, 2015.

In 2002 has received the Benjamin Franklin Key Award from Philadelphia Chapter of IEEE for “advancing the theory and practice of adaptive control, and in so doing, making major contributions to improving the speed and accuracy of specialty robotics for the semiconductor industry.” These techniques helped to extend the life of wire bonding technology. As a result of this work, the challenge of portability – the ability to repeatedly perform the same task on different machines – was solved. The time duration of bond table motion was reduced by more than 60%, dramatically increasing productivity, and the accuracy limit was lowered from more than 100 microns in the late 1990s to 35 microns in the current generation of bonders. The robustness of the algorithms has been proven over the last 17 years by its successful implementation in tens of thousands of machines representing various platforms. It is one of the major innovations that have made these wire bonders the world industry leaders. Is co-author of the book: “Direct Adaptive Control Algorithms – Theory and Applications” and has published 3 chapters in books and more than 100 papers in Journals and major Technical Conferences.
Ilan Rusnak Ilan Rusnak holds B.Sc. and M.Sc. in electrical engineering from Technion Haifa, Israel, and Ph.D. in ECE from Drexel University, Philadelphia, USA. He is currently with RAFAEL, Israel, holding the position of senior research fellow, and holding position of adjunct senior lecturer at Technion, Haifa, Israel. His current interests are Systems Engineering, Guidance, Control Theory, Motion Control, Estimation Theory, Architecture of the Feedback, Simulation and Signal Processing.
Haim Weiss Haim Weiss received his B.Sc. and M.Sc. degrees in electrical engineering, in 1966 and 1971, respectively, both from Technion—Israel Institute of Technology. In 1979 he received Ph.D. degree from University of Newcastle, Australia, also in electrical engineering. From 1966 to 1970 he served as an electronic engineer in the Israeli Air Force. In 1972 he joined RAFAEL where he is now a research fellow. From 1999–2001 he was Lady Davis visiting scientist at Faculty of Aerospace Engineering, Technion, Israel. Currently he holds the position of adjunct senior teaching fellow. His research interests include estimation, guidance, adaptive control and spacecraft attitude determination and control.

Registration: Tutorial session fee 70 Euros should be added to regular conference registration fee

### Multivariate Function Decomposition and Data Analysis with a Basic Focus on HDMR and EMPR

Lecturers: (oral presentations) Metin Demiralp, İstanbul Technical University, (Chairman)
Süha Tuna, İstanbul Technical University, (Organizing Assistant to Chairman)
Alper Tunga, Bahçeşehir University
Burcu Tunga, İstanbul Technical University
Evrim Korkmaz Özay, Aydın University
Lecturers: (focusing on certain specific topics in core sessions composed of oral presentations)
Zeynep Gündoğar, İstanbul Technical University
Ayla Okan, İstanbul Technical University
Derya Bodur, İstanbul Technical University
Implementative Session(s) Devoted to Only (Poster Presentations)
Evrim Korkmaz Özay, Zeynep Gündoğar, Ayla Okan, and, Derya Bodur
Assistive instructors:
Berfin Kalay, İstanbul Technical University
Melike Ebru Kırkın, İstanbul Technical University
Elif Tataroğlu, İstanbul Technical University
If any application comes from outside the above team for the announcement
of special expertises then some of instructively important ones will be
selected to be presented in this session via poster(s).
The original findings including one will be redirected to the special ICNPAA 2016
session organized by Demiralp.
ABSTRACT: The topics of this pre-ICNPAA 2016 organization will be focused on the following areas:
* ANOVA and basic conceptualism of High Dimensional Model Representation (HDMR). Sobol's definition and related works.
* Weights and orthogonal geometry in HDMR, the works of Rabitz and his group. Cut-HDMR, Random Sampling HDMR, Multicut HDMR.
* Orthogonality, truncation approximants, quality measurers. How to increase truncation approximation quality.
* Other HDMR varieties from Demiralp Group: HDMR with Generalized Weights, Factorized HDMR, Hybrid HDMR, Discrete and discretized HDMR applications.
* Further HDMR developments from Demiralp group: Logarithmic HDMR, Transformational HDMR (under various transformations like affine, quadratic, cubic, Moebius type).
* Ascending approximation quality via multivariance enhancement. Supporting element concept. Enhanced Multivariance Products Representation (EMPR = Supported HDMR) as introduced in Demiralp group works.
* EMPR in practical applications. EMPR varieties as extended counterparts of HDMR. What does EMPR bring new extension and capabilities against HDMR's limited structure.
* Support function and support array optimisation. Integral equations related issues. Multiway array related issues.
* Supportive hybridization in EMPR. Developments outside Sobol's, Rabitz group's, and, Demiralp group's studies. Future work possibilities.
Core Sessions Devoted to Oral Presentations
DOCUMENTATION and WEB SITE: The construction of a tutorial/textbook type book has been started and will be, at least, ready to the online access of participants. The distribution of the printed version of this book is also under consideration. The ultimate status will be announced quite before of the tutorial/workshop day.
Almost all of the abovementioned contributors will give certain level of support to this documentation in both printed and online versions.
Event support to the documentation. * N. Abdülbaki Baykara, Marmara University
* Coşar Gözükırmızı, İstanbul Technical University
* Muzaffer Ayvaz, İstanbul Technical University
* Semra Bayat, İstanbul Technical University
Organizers: Metin Demiralp, İstanbul Technical University, (Chairman) Informatics Institute, Computational Science and Engineering Department. Süha Tuna, İstanbul Technical University, (Organizing Assistant to Chairman) Alper Tunga, Bahçeşehir University, Burcu Tunga, İstanbul Technical University, Evrim Korkmaz Özay, Aydın University