SpringerBriefs in Mathematics

A Variational Approach to Nonsmooth Dynamics

Applications in Unilateral Mechanics and Electronics

Authors: Adly, Samir

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  • Multidisciplinary and transversal to at least three communities: applied mathematicians, engineers and researchers in control theory and nonlinear systems
  • Includes numerous examples, illustrations and applications to illustrate the theoretical mathematical results
  • Highly accessible and self-contained
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eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-68658-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-68657-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This brief examines mathematical models in nonsmooth mechanics and nonregular electrical circuits, including evolution variational inequalities, complementarity systems, differential inclusions, second-order dynamics, Lur'e systems and Moreau's sweeping process.

The field of nonsmooth dynamics is of great interest to mathematicians, mechanicians, automatic controllers and engineers. The present volume acknowledges this transversality and provides a multidisciplinary view as it outlines fundamental results in nonsmooth dynamics and explains how to use them to study various problems in engineering. In particular, the author explores the question of how to redefine the notion of dynamical systems in light of modern variational and nonsmooth analysis.

With the aim of bridging between the communities of applied mathematicians, engineers and researchers in control theory and nonlinear systems, this brief outlines both relevant mathematical proofs and models in unilateral mechanics and electronics.

About the authors

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.

Reviews

“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)​

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 46,00 €
price for Spain (gross)
  • ISBN 978-3-319-68658-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 57,19 €
price for Spain (gross)
  • ISBN 978-3-319-68657-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
A Variational Approach to Nonsmooth Dynamics
Book Subtitle
Applications in Unilateral Mechanics and Electronics
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-68658-5
DOI
10.1007/978-3-319-68658-5
Softcover ISBN
978-3-319-68657-8
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XV, 159
Number of Illustrations
29 b/w illustrations, 26 illustrations in colour
Topics