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dc.contributor.authorBernhard, Pierre
dc.date.accessioned2014-04-29T15:10:00Z
dc.date.available2014-04-29T15:10:00Z
dc.date.issued1979
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13204
dc.language.isoenen
dc.subjectLinear differential gamesen
dc.subjectconjugate pointsen
dc.subjectsaddle pointsen
dc.subject.ddc519en
dc.titleLinear-quadratic, two-person, zero-sum differential games: Necessary and sufficient conditionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider linear-quadratic, two-person, zero-sum perfect information differential games, possibly with a linear target set. We show a necessary and sufficient condition for the existence of a saddle point, within a wide class of causal strategies (including, but not restricted to, pure state feedbacks). The main result is that, when they exist, the optimal strategies are pure feedbacks, given by the classical formulas suitably extended, and that existence may be obtained even in the presence of a conjugate point within the time interval, provided it is of a special type that we call even.en
dc.relation.isversionofjnlnameJournal of Optimization Theory and Applications
dc.relation.isversionofjnlvol27en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1979
dc.relation.isversionofjnlpages51-69en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF00933325en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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