Lyapunov pairs for perturbed sweeping processes

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TitreLyapunov pairs for perturbed sweeping processes
Type de publicationJournal Article
Year of Publication2018
AuteursHantoute A, Vilches E
JournalOPTIMIZATION LETTERS
Volume12
Pagination1773-1787
Date PublishedDEC
Type of ArticleArticle
ISSN1862-4472
Mots-clésComplementarity dynamical systems, differential inclusions, Invariance, Lyapunov pair, normal cone, Sweeping process
Résumé

We give a full characterization of nonsmooth Lyapunov pairs for perturbed sweeping processes under very general hypotheses. As a consequence, we provide an existence result and a criterion for weak invariance for perturbed sweeping processes. Moreover, we characterize Lyapunov pairs for gradient complementarity dynamical systems.

DOI10.1007/s11590-018-1231-4