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A Variational Approach to Nonsmooth DynamicsNonsmooth Dynamics: An Overview

A Variational Approach to Nonsmooth Dynamics: Nonsmooth Dynamics: An Overview [In this chapter, an overview of some mathematical models in nonsmooth dynamics is given. The main purpose is to give the reader a quick but comprehensive snapshot of other classes of nonsmooth systems that can/cannot be captured by the models studied in detail in this book. The following are reviewed: the piecewise dynamical systems; the Filippov concept of solutions for discontinuous differential equations; the notion of differential inclusions along with some general existence results; linear and nonlinear complementarity systems; evolution variational inequalities and their connection with projected dynamical systems; and the so-called measure differential inclusions.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Variational Approach to Nonsmooth DynamicsNonsmooth Dynamics: An Overview

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-68657-8
Pages
39 –51
DOI
10.1007/978-3-319-68658-5_2
Publisher site
See Chapter on Publisher Site

Abstract

[In this chapter, an overview of some mathematical models in nonsmooth dynamics is given. The main purpose is to give the reader a quick but comprehensive snapshot of other classes of nonsmooth systems that can/cannot be captured by the models studied in detail in this book. The following are reviewed: the piecewise dynamical systems; the Filippov concept of solutions for discontinuous differential equations; the notion of differential inclusions along with some general existence results; linear and nonlinear complementarity systems; evolution variational inequalities and their connection with projected dynamical systems; and the so-called measure differential inclusions.]

Published: Feb 20, 2018

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