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Hybrid Kernels and Capture Basins for Impulse Constrained Systems

dc.contributor.authorSaint-Pierre, Patrick
dc.date.accessioned2011-06-07T10:20:17Z
dc.date.available2011-06-07T10:20:17Z
dc.date.issued2002
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6441
dc.language.isoenen
dc.subjecthybrid viability kernelen
dc.subject.ddc519en
dc.titleHybrid Kernels and Capture Basins for Impulse Constrained Systemsen
dc.typeCommunication / Conférence
dc.description.abstractenWe investigate, for constrained controlled systems with impulse, the subset of initial positions contained in a set K from which starts at least one run viable in K - the hybrid viability kernel - eventually until it reaches a given closed target in finite time - the hybrid capture basin. We define a constructive algorithm which approximates this set. The knowledge of this set is essential for control problem since it provides viable hybrid feed-backs and viable runs. We apply this method for approximating the Minimal Time-to-reach Function in the presence of both constraints and impulses. Two examples are presented, the first deals with a dynamical system revealing the complexity of the structure of hybrid kernels, the second deals with a Minimal Time problem with impulses.en
dc.identifier.citationpages351-396en
dc.relation.ispartofseriestitleLecture Notes in Computer Science
dc.relation.ispartofseriesnumber2289
dc.relation.ispartoftitleHybrid Systems: Computation and Control 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, Proceedingsen
dc.relation.ispartofeditorTomlin, Claire
dc.relation.ispartofeditorGreenstreet, Mark
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate2002
dc.relation.ispartofpages480en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/3-540-45873-5en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn978-3-540-43321-7en
dc.relation.conftitle5th International Workshop on Hybrid Systems: Computation and Control (HSCC 2002)en
dc.relation.confdate2002-03
dc.relation.confcityStanford (CA)en
dc.relation.confcountryÉtats-Unisen
dc.identifier.doihttp://dx.doi.org/10.1007/3-540-45873-5_30


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