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dc.contributor.authorZidani, Hasnaa
dc.contributor.authorForcadel, Nicolas
dc.contributor.authorBokanowski, Olivier
dc.date.accessioned2010-03-22T13:41:50Z
dc.date.available2010-03-22T13:41:50Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/3754
dc.language.isoenen
dc.subjectState constraintsen
dc.subjectReachability set (Attainable set)en
dc.subjectMinimal time problemen
dc.subjectLevel set methoden
dc.subjectHamilton-Jacobi-Bellman equationsen
dc.subjectTwo-player game.en
dc.subject.ddc519en
dc.titleReachability and minimal times for state constrained nonlinear problems without any controllability assumptionen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a target problem for a nonlinear system under state constraints. We give a new continuous level-set approach for characterizing the optimal times and the backward-reachability sets. This approach leads to a characterization via a Hamilton-Jacobi equation, without assuming any controllability assumption. We also treat the case of time-dependent state constraints, as well as a target problem for a two-player game with state constraints. Our method gives a good framework for numerical approximations, and some numerical illustrations are included in the paper.en
dc.relation.isversionofjnlnameSIAM Journal on Control and Optimization
dc.relation.isversionofjnlvol48
dc.relation.isversionofjnlissue7
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages4292-4316
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/090762075
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00395589/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSIAM
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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