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A Variational Approach to Nonsmooth DynamicsStability Analysis of First-Order Nonsmooth Dynamics

A Variational Approach to Nonsmooth Dynamics: Stability Analysis of First-Order Nonsmooth Dynamics [The aim of this chapter is to study the existence and uniqueness of solution to a first-order nonsmooth dynamical system involving the subdifferential of a convex, lower semicontinuous and proper function. These problems are also known as evolution variational inequalities. Some conditions ensuring the stability, the asymptotic stability and the finite-time stability of this general class of unilateral dynamics are given. LaSalle’s invariance principle is also developed for this class of problem.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Variational Approach to Nonsmooth DynamicsStability Analysis of First-Order Nonsmooth Dynamics

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Publisher
Springer International Publishing
Copyright
© The Author(s) 2017
ISBN
978-3-319-68657-8
Pages
53 –69
DOI
10.1007/978-3-319-68658-5_3
Publisher site
See Chapter on Publisher Site

Abstract

[The aim of this chapter is to study the existence and uniqueness of solution to a first-order nonsmooth dynamical system involving the subdifferential of a convex, lower semicontinuous and proper function. These problems are also known as evolution variational inequalities. Some conditions ensuring the stability, the asymptotic stability and the finite-time stability of this general class of unilateral dynamics are given. LaSalle’s invariance principle is also developed for this class of problem.]

Published: Feb 20, 2018

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