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dc.contributor.authorAubin, Jean-Pierre
dc.date.accessioned2014-12-15T09:21:42Z
dc.date.available2014-12-15T09:21:42Z
dc.date.issued1991
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14420
dc.language.isoenen
dc.subjecttracking problemen
dc.subjectcontingent differential inclusionen
dc.subjectviability theoremen
dc.subject.ddc515en
dc.titleTracking property: A viability approachen
dc.typeCommunication / Conférence
dc.description.abstractenThis paper is devoted to the characterization of the tracking property connecting solutions to two differential inclusions or control systems through an observation map derived from the viability theorem. The tracking property holds true if and only if the dynamics of the two systems and the contingent derivative of the observation map satisfy a generalized oartial differential equation, called the contingent differential inclusion. This contingent differential inclusion is then used in several ways. For instance, knowing the dynamics of the two systems, construct the observation map or, knowing the dynamics of one system and the observation map, derive dynamics of the other system (trackers) which are solutions to the contingent differential inclusion. It is also shown that the tracking problem provides a natural framework to treat issues such as the zero dynamics, decentralization, and hierarchical decomposition.en
dc.identifier.citationpages1-15en
dc.relation.ispartofseriestitleLecture Notes in Control and Information Sciencesen
dc.relation.ispartofseriesnumber154en
dc.relation.ispartoftitleModelling and Inverse Problems of Control for Distributed Parameter Systems Proceedings of IFIP (W.G.7.2)-IIASA Conference, Laxenburg, Austria, July 24–28, 1989en
dc.relation.ispartofeditorKurzhanski, Alexander
dc.relation.ispartofeditorLasiecka, Irena
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate1991
dc.relation.ispartofpages170en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/BFb0044477en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-3-540-53583-6en
dc.relation.conftitleIFIP (W.G.7.2)-IIASA Conferenceen
dc.relation.confdate1991-07
dc.relation.confcityLaxenburgen
dc.relation.confcountryAutricheen
dc.relation.forthcomingnonen
dc.identifier.doihttp://dx.doi.org/10.1007/BFb0044478en


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