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Value function and optimality conditions for semilinear control problems

dc.contributor.authorCannarsa, Piermarco
dc.contributor.authorFrankowska, Halina
dc.date.accessioned2014-12-15T09:38:31Z
dc.date.available2014-12-15T09:38:31Z
dc.date.issued1992
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14443
dc.language.isoenen
dc.subjectOptimal controlen
dc.subjectDistributed parameter systemsen
dc.subjectDynamic programmingen
dc.subjectOptimality conditionsen
dc.subjectStrongly continuous semigroupsen
dc.subjectNonsmooth analysisen
dc.subject.ddc519en
dc.titleValue function and optimality conditions for semilinear control problemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is concerned with optimal control problems of Mayer and Bolza type for systems governed by a semilinear state equationx′(t)=Ax(t) + f(t, x(t), u(t)), u(t) ε U, whereA is the infinitesimal generator of a strongly continuous semigroup in a Banach spaceX. We prove necessary and sufficient conditions for optimality and then use these conditions to investigate properties of the value function related to superdifferentials. Conversely, we use the value function to obtain criteria for optimality and feedback systems.en
dc.relation.isversionofjnlnameApplied Mathematics and Optimization
dc.relation.isversionofjnlvol26en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1992
dc.relation.isversionofjnlpages139-169en
dc.relation.isversionofdoihttp://dx;doi.org/10.1007/BF01189028en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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