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dc.contributor.authorAubin, Jean-Pierre
dc.contributor.authorSeube, Nicolas
dc.date.accessioned2011-06-06T14:37:24Z
dc.date.available2011-06-06T14:37:24Z
dc.date.issued2002
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6429
dc.language.isoenen
dc.subjectimpulse differential gamesen
dc.subjectdifferential gamesen
dc.subjectconditional viabilityen
dc.subjectHamilton-Jacobi-Bellman-Isaacs quasi-variational inequalitiesen
dc.subject.ddc519en
dc.titleConditional Viability for Impulse Differential Gamesen
dc.typeCommunication / Conférence
dc.description.abstractenWe introduce the concept of "impulse evolutionary game" and study the concept of "conditional viability" of a subset describing the constraints with a (possibly empty) target under such an impulse evolutionary game. Examples of evolutionary games are usual differential games, differentiable games with history (path-dependent differential games), mutational differential games, etc. Impulse evolutionary systems and games cover in particular "hybrid systems" as well as "qualitative systems". The conditional viability kernal of a constrained set (with a target) is the set of initial states such that for all strategies played by the second player, there exists a strategy of the first player such that the associated run starting from this initial state satisfies the the constraints until it hits the target. The main objective of the paper is to characterize it in several ways.en
dc.identifier.citationpages3200-3204en
dc.relation.ispartoftitleProceedings of the 41st IEEE Conference on Decision and Control, 2002en
dc.relation.ispartofpublnameIEEEen
dc.relation.ispartofdate2002
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn0-7803-7516-5en
dc.relation.conftitle41st IEEE Conference on Decision and Controlen
dc.relation.confdate2002-12
dc.relation.confcityLas Vegasen
dc.relation.confcountryÉtats-Unisen
dc.identifier.doihttp://dx.doi.org/10.1109/CDC.2002.1184364


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