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Finite dimensional approximations for a class of infinite dimensional time optimal control problems

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
hal.structure.identifierSystems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
dc.contributor.authorVALEIN, Julie
hal.structure.identifierSystems with physical heterogeneities : inverse problems, numerical simulation, control and stabilization [SPHINX]
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
dc.contributor.authorWU, Chi-Ting
dc.date.accessioned2024-04-04T03:13:09Z
dc.date.available2024-04-04T03:13:09Z
dc.date.issued2019
dc.identifier.issn0020-7179
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193930
dc.description.abstractEnIn this work we study the numerical approximation of the solutions of a class of abstract parabolic time optimal control problems with unbounded control operator. Our main results assert that, provided that the target is a closed ball centered at the origin and of positive radius, the optimal time and the optimal controls of the approximate time optimal problems converge (in appropriate norms) to the optimal time and to the optimal controls of the original problem. In order to prove our main theorem, we provide a nonsmooth data error estimate for abstract parabolic systems.
dc.language.isoen
dc.publisherTaylor & Francis
dc.subject.endistributed parameter systems
dc.subject.enoptimal control
dc.subject.ennumerical approximation AMS subject classifications 93C25
dc.title.enFinite dimensional approximations for a class of infinite dimensional time optimal control problems
dc.typeArticle de revue
dc.identifier.doi10.1080/00207179.2016.1228122
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalInternational Journal of Control
bordeaux.page132-144
bordeaux.volume92
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01393258
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01393258v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=International%20Journal%20of%20Control&rft.date=2019&rft.volume=92&rft.issue=1&rft.spage=132-144&rft.epage=132-144&rft.eissn=0020-7179&rft.issn=0020-7179&rft.au=TUCSNAK,%20Marius&VALEIN,%20Julie&WU,%20Chi-Ting&rft.genre=article


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