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Contingent Cones to Reachable Sets of Control Systems

dc.contributor.authorFrankowska, Halina
dc.date.accessioned2014-04-29T14:46:00Z
dc.date.available2014-04-29T14:46:00Z
dc.date.issued1989
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13193
dc.language.isoenen
dc.subjecthigh-order maximum principlesen
dc.subjectimplicit control systemen
dc.subjectclosed-loop control systemen
dc.subjectdiscontinuous trajectoryen
dc.subjectreachable seten
dc.subjectcontingent coneen
dc.subject.ddc519en
dc.titleContingent Cones to Reachable Sets of Control Systemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenHigh-order necessary conditions for optimality for an optimal control problem are studied via properties of contingent cones to reachable sets along the optimal trajectory. It is shown that the adjoint vector of Pontryagin’s maximum principle is normal to the set of variations of reachable sets. Results are applied to study optimal control problems for dynamical systems described by: (1) closed-loop control systems; (2) nonlinear implicit systems; (3) differential inclusions; (4) control systems with jumps.en
dc.relation.isversionofjnlnameSIAM Journal on Control and Optimization
dc.relation.isversionofjnlvol27en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1989
dc.relation.isversionofjnlpages170-198en
dc.relation.isversionofdoihttp://dx.doi.org/10.1137/0327010en
dc.relation.isversionofjnlpublisherSIAMen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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