hal-00586942, version 1
Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
Nonlinear Analysis: Theory, Methods and Applications 75, 3 (2012) 985-1008
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Références bibliographiques
- Type de publication : Articles dans des revues avec comité de lecture
- Domaine : Mathématiques/Optimisation et contrôle
- Titre : Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions
- Résumé : The main objective of this paper is to provide new explicit criteria to characterize weak lower semicontinuous Lyapunov pairs or functions associated to first-order differential inclusions in Hilbert spaces. These inclusions are governed by a Lipschitzian perturbation of a maximally monotone operator. The dual criteria we give are expressed by means of the proximal and basic subdifferentials of the nominal functions while primal conditions are described in terms of the contingent directional derivative. We also propose a unifying review of many other criteria given in the literature. Our approach is based on advanced tools of variational analysis and generalized differentiation.
- Langue du texte
intégral : Anglais - DOI : 10.1016/j.na.2010.11.009
- Journal :
Nonlinear Analysis: Theory, Methods and Applications Publisher Elsevier ISSN 0362-546X - Audience : internationale
- Date de publication : 2012
- Volume : 75
- Numéro : 3
- Page, identifiant, ... : 985-1008
- Mots Clés : Differential inclusions – Maximal monotone operators – Lipschitz perturbations – Lower semicontinuous Lyapunov pairs and functions – Invariance of sets – Subdifferential sets – Contingent derivatives
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- Soumis le : Lundi 18 Avril 2011, 19:02:17
- Dernière modification le : Mardi 27 Mars 2012, 16:00:10
Documents associés
DOI : 10.1016/j.na.2010.11.009
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