Pr. Samir Adly
Pr. Samir Adly

Affiliation

University of Limoges,  XLIM Laboratory, France

Tutorial: An invitation to the world of Nonsmooth Dynamical Systems

Abstract

Nonsmooth dynamical systems is a part of differential inclusions. With the emergence of many engineering applications, nonsmooth dynamical systems have played a central role in the understanding of many phenomena. The mathematical formulation of the unilateral dynamical system involved inequality constraints and necessarily contains natural nonsmoothness. The nonsmoothness could originate from the discontinuous control term, or from the environment of the system e.g. impact with dry friction in mechanical systems. Due to the lack of smoothness, classical mathematical methods are applicable only to a limited amount and require naturally extensions for both analytical and numerical methods by using modern tools from variational  analysis and optimization. 

In this talk, we will review the following class of problems:

i) Linear Complementarity Systems and their applications in electrical circuits

ii) Evolution Variational inequalities and their applications in mechanics

iii) Moreau's sweeping process 

Biography

Samir Adly received a Master degree in Mathematical Engineering (1992) and a PhD in Applied Mathematics (1995), both from the University of Limoges (France). From 1997 to 2006 he was associate professor and from 2006 till now he is full professor of mathematics at University of Limoges. His research interests focus on theoretical and algorithmic issues related to variational inequalities, complementarity problems, optimization, nonsmooth dynamical systems, variational analysis and its applications. He is actually Director of the Mathematics and Computer Science Department (DMI) of the institute of research XLIM (UMR-CNRS 7252). He is also the Head of the team MOD "Modeling, Optimization, Dynamics" of the department DMI and is Responsable of the Master degree ACSYON. He serves as general chair of numerous conferences and has been invited and keynote speaker in several international conferences. Professor Adly has published more than 70 refereed journal articles.