Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions

Repositorio Académico UOH

dc.contributor.author	Le, BK
dc.date.accessioned	2024-01-17T15:56:18Z
dc.date.available	2024-01-17T15:56:18Z
dc.date.issued	2020
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/980
dc.description.abstract	In this paper, we introduce a class of state-dependent maximal monotone differential inclusions. The existence and uniqueness of solutions are obtained by using an implicit discretization scheme and a kind of hypo-monotonicity assumption. In addition, a characterization for nonsmooth Lyapunov pairs associated with such systems is provided. Our result can be applied to study state-dependent sweeping processes and Lur'e dynamical systems. It is new even the involved maximal monotone operators depend only on the time.
dc.relation.uri	http://dx.doi.org/10.1080/02331934.2019.1686504
dc.subject	Differential inclusions
dc.subject	maximal monotone operators
dc.subject	state-dependent
dc.subject	Lur'e systems
dc.subject	sweeping processes
dc.title	Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions
dc.type	Artículo
uoh.revista	OPTIMIZATION
dc.identifier.doi	10.1080/02331934.2019.1686504
dc.citation.volume	69
dc.citation.issue	6
dc.identifier.orcid	Le, Ba Khiet/0000-0003-3894-4173
uoh.indizacion	Web of Science