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A priori estimates for operational differential inclusions and necessary conditions for optimality

dc.contributor.authorFrankowska, Halina
dc.date.accessioned2014-12-15T09:27:34Z
dc.date.available2014-12-15T09:27:34Z
dc.date.issued1990
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14428
dc.language.isoenen
dc.subjectcontrol problemsen
dc.subjectoptimalityen
dc.subjectdifferential inclusionsen
dc.subject.ddc515en
dc.titleA priori estimates for operational differential inclusions and necessary conditions for optimalityen
dc.typeCommunication / Conférence
dc.description.abstractenDerivation of necessary conditions for optimality in optimal control theory relies on variational calculus of control systems. We provide here such calculus for the semilinear differential inclusion 1 x′∈Ax+F(t,x),x(0)=x0 (1) where A is the infinitesimal generator of a C o-semigroup on a separable Banach space X and F: [0,T]×X∼ X is a set-valued map. Such inclusion encompass a number of control systems, including those with state dependent controls. We prove a relaxation theorem and investigate infinitesimal generators of reachable sets and variational inclusions. Results are applied to derive necessary conditions for optimality for some semilinear optimal control problems.en
dc.identifier.citationpages519-528en
dc.relation.ispartofseriestitleLecture Notes in Control and Information Sciencesen
dc.relation.ispartofseriesnumber144en
dc.relation.ispartoftitleAnalysis and Optimization of Systes Proceedings of the 9th International Conference Antibes, June 12–15, 1990en
dc.relation.ispartofeditorBensoussan, Alain
dc.relation.ispartofeditorLions, Jacques-Louis
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate1990
dc.relation.ispartofpages994en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/BFb0120023en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-3-540-52630-8en
dc.relation.conftitle9th International Conference on Analysis and Optimization of Systesen
dc.relation.confdate1990-06
dc.relation.confcityAntibesen
dc.relation.confcountryFranceen
dc.relation.forthcomingnonen
dc.identifier.doihttp://dx.doi.org/10.1007/BFb0120074en


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