A Variational Approach to Nonsmooth Dynamics

Samir Adly received a master's degree in Mathematical Engineering (1992) and a Ph.D. in Applied Mathematics (1995) from the University of Limoges, France, where he is now full professor of mathematics. He is also director of the mathematics and security information department of the XLIM research institute (UMR CNRS) and head of the MOD team (Modeling, Optimization, Dynamics) at XLIM. Adly's research interests focus on theoretical and algorithmic issues related to variational inequalities, complementarity problems, optimization, nonsmooth dynamical systems, variational analysis and its applications. He has published more than 70 articles in peer-reviewed journals and has been working in the area of nonsmooth dynamical systems since 2002.

1 Mathematical Background.- 2 Nonsmooth Dynamics: An Overview.- 3 Stability Analysis of First-order Nonsmooth Dynamics.- 4 Stability Analysis of Second-order Nonsmooth Dynamics.- 5 Nonsmooth Lur'e Dynamical Systems.-  6 Moreau's Sweeping Processes.- Historical vignettes.- References.- Index.

"The book under review treats the subject of nonsmooth dynamical systems using tools from convex and variational analysis. ... This book is well written, pedagogic and self-contained. It is accessible to a large audience, including mathematicians, engineers and undergraduate students with a good knowledge of ODEs." (Daniel Goeleven, Mathematical Reviews, September, 2018)

“The book under review treats the subject of nonsmooth dynamical systems using tools from convex and variational analysis. … This book is well written, pedagogic and self-contained. It is accessible to a large audience, including mathematicians, engineers and undergraduate students with a good knowledge of ODEs.” (Daniel Goeleven, Mathematical Reviews, September, 2018)