Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions - Archive ouverte HAL Accéder directement au contenu
Rapport Année : 2013

Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions

Samir Adly
DMI
Michel Théra
Connectez-vous pour contacter l'auteur
DMI

Résumé

The general theory of Lyapunov's stability of first-order differential inclusions in Hilbert spaces has been studied by the authors in a previous work. This new contribution focuses on the natural case when the maximally monotone operator governing the given inclusion has a domain with nonempty interior. This setting permits to have nonincreasing Lyapunov functions on the whole trajectory of the solution to the given differential inclusion. It also allows some more explicit criteria for Lyapunov's pairs. Some consequences to the viability of closed sets are given, as well as some useful cases relying on the continuity or/and convexity of the involved functions. Our analysis makes use of standard tools from convex and variational analysis.
Fichier principal
Vignette du fichier
AHT_Versionsent.pdf (248.52 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00822994 , version 1 (16-05-2013)

Identifiants

Citer

Samir Adly, Abderrahim Hantoute, Michel Théra. Local nonsmooth Lyapunov pairs for first-order evolution differential inclusions. 2013. ⟨hal-00822994⟩
242 Consultations
508 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More