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Switching controls for analytic semigroups and applications to parabolic systems

hal.structure.identifierUniversidade Federal da Paraiba / Federal University of Paraiba [UFPB]
dc.contributor.authorCHAVES SILVA, Felipe W.
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorERVEDOZA, Sylvain
hal.structure.identifierFederal University of Pernambuco [Recife]
dc.contributor.authorARAUJO DE SOUZA, Diego
dc.date.accessioned2024-04-04T02:44:13Z
dc.date.available2024-04-04T02:44:13Z
dc.date.issued2021
dc.identifier.issn0363-0129
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191391
dc.description.abstractEnIn this work, we push further the analysis of the problem of switching controls proposed in [31]. The problem consists in the following one: assuming that one can control a system using two or more actuators, does there exist a control strategy such that at all times, only one actuator is active? We answer positively to this question when the controlled system corresponds to an analytic semigroup spanned by a positive self-adjoint operator which is null-controllable in arbitrary small times. Similarly as in [31], our proof relies on analyticity arguments and will also work in finite dimensional setting and under some further spectral assumptions when the operator spans an analytic semigroup but is not necessarily self-adjoint.
dc.description.sponsorshipInteraction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010
dc.description.sponsorshipCentre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040
dc.language.isoen
dc.publisherSociety for Industrial and Applied Mathematics
dc.title.enSwitching controls for analytic semigroups and applications to parabolic systems
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalSIAM Journal on Control and Optimization
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03001962
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03001962v1
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