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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorOUHABAZ, El-Maati
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHAAK, Bernhard
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorHOANG, Duc-Trung
dc.date.accessioned2024-04-04T03:00:04Z
dc.date.available2024-04-04T03:00:04Z
dc.date.issued2019-11
dc.identifier.issn0167-6911
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192797
dc.description.abstractEnWe consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and prove that for skew-adjoint operators it characterizes exact observability. Next, we extend this to more general class of operators under a growth condition on the associated evolution family. We give an application to the Schrödinger equation with time dependent potential and the damped wave equation with a time dependent damping coefficient.
dc.description.sponsorshipSystèmes interconnectés de dimension infinie pour les milieux hétérogènes - ANR-16-CE92-0028
dc.language.isoen
dc.title.enCONTROLLABILITY AND OBSERVABILITY FOR NON-AUTONOMOUS EVOLUTION EQUATIONS: THE AVERAGED HAUTUS TEST
dc.typeArticle de revue
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.journalSystems & Control Letters
bordeaux.volume133
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01717316
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01717316v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Systems%20&%20Control%20Letters&rft.date=2019-11&rft.volume=133&rft.eissn=0167-6911&rft.issn=0167-6911&rft.au=OUHABAZ,%20El-Maati&HAAK,%20Bernhard&HOANG,%20Duc-Trung&rft.genre=article


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