On the Lipschitz Behavior of Solution Maps of a Cl

Authors: Lukáš Adam

Publish Date: 2015/03/28

Volume: 23, Issue: 3, Pages: 559-575

PDF Link

Abstract

We consider a general differential inclusion which is parameterized by a parameter We perform time discretization and present conditions under which the discretized solution map is locally Lipschitz Further if the Lipschitzian modulus is bounded in some sense we show that it is possible to obtain the local Lipschitzian property even for the original not discretized solution map We conclude the paper with an example concerning stability analysis of nonregular electrical circuits with ideal diodes

Keywords: