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Compact perturbations of controlled systems

hal.structure.identifierInstitut de Mathématiques de Marseille [I2M]
dc.contributor.authorDUPREZ, Michel
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOLIVE, Guillaume
dc.date.accessioned2024-04-04T03:09:26Z
dc.date.available2024-04-04T03:09:26Z
dc.date.created2017-07-27
dc.date.issued2018-06
dc.identifier.issn2156-8472
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193604
dc.description.abstractEnIn this article we study the controllability properties of general compactly perturbed exactly controlled linear systems with admissible control operators. Firstly, we show that approximate and exact controllability are equivalent properties for such systems. Then, and more importantly, we provide for the perturbed system a complete characterization of the set of reachable states in terms of the Fattorini-Hautus test. The results rely on the Peetre lemma.
dc.language.isoen
dc.publisherAIMS
dc.subject.enCompactness-uniqueness
dc.subject.enFattorini-Hautus test
dc.subject.enExact controllability
dc.subject.enReachable states
dc.title.enCompact perturbations of controlled systems
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalMathematical Control and Related Fields
bordeaux.page397-410
bordeaux.volume8
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue2
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01406540
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01406540v1
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