Lyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators

dc.creatorAdly, Samir
dc.creatorHantoute, Abderrahim
dc.creatorNguyen, Bao Tran
dc.date.accessioned2020-06-09T21:41:26Z
dc.date.available2020-06-09T21:41:26Z
dc.date.created2020-06-09T21:41:26Z
dc.date.issued2020
dc.identifierSet-Valued and Variational Analysis (2020) 28:345–368
dc.identifier10.1007/s11228-019-00513-4
dc.identifierhttps://repositorio.uchile.cl/handle/2250/175366
dc.description.abstractWe give new criteria for weak and strong invariant closed sets for differential inclusions in Double-struck capital Rn, and which are simultaneously governed by Lipschitz Cusco mapping and by maximal monotone operators. Correspondingly, we provide different characterizations for the associated strong Lyapunov functions and pairs. The resulting conditions only depend on the data of the system, while the invariant sets are assumed to be closed, and the Lyapunov pairs are assumed to be only lower semi-continuous.
dc.languageen
dc.publisherSpringer
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.sourceSet-Valued and Variational Analysis
dc.subjectDifferential inclusions
dc.subjectCusco mappings
dc.subjectMaximal monotone operators
dc.subjecta-Lyapunov pairs; Invariant sets
dc.titleLyapunov stability of differential inclusions with Lipschitz Cusco perturbations of maximal monotone operators
dc.typeArtículo de revista


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