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An invariance kernel representation of ISDS Lyapunov functions

dc.contributor.authorSaint-Pierre, Patrick
dc.contributor.authorGrüne, Lars
dc.date.accessioned2011-01-27T09:52:19Z
dc.date.available2011-01-27T09:52:19Z
dc.date.issued2006-09
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/5562
dc.language.isoenen
dc.subjectset oriented numericsen
dc.subjectset valued analysisen
dc.subjectinvariance kernelen
dc.subjectinput–to–state stabilityen
dc.subjectLyapunov functionsen
dc.subject.ddc519en
dc.subject.classificationjelC62en
dc.subject.classificationjelC2en
dc.titleAn invariance kernel representation of ISDS Lyapunov functionsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherMathematisches Institut, Fakultät für Mathematik und Physik, Universität Bayreuth;Allemagne
dc.description.abstractenWe apply set valued analysis techniques in order to characterize the input-to-state dynamical stability (ISDS) property, a variant of the well known input-to-state stability (ISS) property. Using a suitable augmented differential inclusion we are able to characterize the epigraphs of minimal ISDS Lyapunov functions as invariance kernels. This characterization gives new insight into local ISDS properties and provides a basis for a numerical approximation of ISDS and ISS Lyapunov functions via set oriented numerical methods.en
dc.relation.isversionofjnlnameSystems & Control Letters
dc.relation.isversionofjnlvol55en
dc.relation.isversionofjnlissue9en
dc.relation.isversionofjnldate2006-09
dc.relation.isversionofjnlpages736-745en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.sysconle.2006.02.003en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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