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Multi-Target Control Problems

hal.structure.identifier
dc.contributor.authorDoyen, Luc
HAL ID: 181009
ORCID: 0000-0001-8272-6187		*
hal.structure.identifier
dc.contributor.authorQuincampoix, Marc*
dc.date.accessioned2011-07-15T12:15:34Z
dc.date.available2011-07-15T12:15:34Z
dc.date.issued1997
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6698
dc.language.isoenen
dc.subjectControl theoryen
dc.subjecttargets problemsen
dc.subjectdifferential inclusionsen
dc.subjectviability theoryen
dc.subjectHamilton–Jacobi equationsen
dc.subject.ddc515en
dc.titleMulti-Target Control Problemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study control problems with several targets in the case of nonlinear dynamic systems. The map associating with every initial condition the minimal time to reach successively two given targets is characterized in the framework of differential inclusions through the notion of viability kernel. This approach allows one to treat the problem without assumptions of regularity and to build numerical schemes computing the minimal time. We also study the problem where an order of visit of the targets is required. The statements are also extended to the case of p targets under state constraints. Equivalent formulations in terms of Hamilton–Jacobi equations are also provided.en
dc.relation.isversionofjnlnameJournal of Optimization Theory and Applications
dc.relation.isversionofjnlvol93en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1997
dc.relation.isversionofjnlpages121-139en
dc.relation.isversionofdoihttp://dx.doi.org/10.1023/A:1022601901895en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
hal.author.functionaut
hal.author.functionaut


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