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dc.contributor.authorFrankowska, Halina
dc.date.accessioned2014-08-29T08:12:03Z
dc.date.available2014-08-29T08:12:03Z
dc.date.issued1989
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13898
dc.language.isoenen
dc.subjectDifferential inclusionsen
dc.subjectsmall-time local controllabilityen
dc.subjectcontrol systems with feedbacken
dc.subjectdifferential calculus of set-valued mapsen
dc.subjectreachable setsen
dc.subject.ddc519en
dc.titleLocal controllability of control systems with feedbacken
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove sufficient conditions for the instantaneous local controllability of nonlinear (nonsmooth) control systems with feedback. We introduce for that purpose the high-order variations of the reachable map, which is related strongly to its shape. It is a direction in which the reachable map evolves. The cone of variations is convex. This allows one to prove the following theorem: if there exist variationsv 1, ...,v p such that ϑ ∈ int co{v 1, ...,v p }, then the system is small-time locally controllable at the point of equilibrium. We provide a short proof of the main result of Sussmann (Ref. 12) and extend it to differential inclusions.en
dc.relation.isversionofjnlnameJournal of Optimization Theory and Applications
dc.relation.isversionofjnlvol60en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1989
dc.relation.isversionofjnlpages277-296en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF00940008en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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