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hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [JAD]
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
dc.contributor.authorGagnon, Ludovick
HAL ID: 12662
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLissy, Pierre
hal.structure.identifierLaboratoire des Sciences du Numérique de Nantes [LS2N]
dc.contributor.authorMarx, Swann
HAL ID: 737961
ORCID: 0000-0002-0722-3560
dc.date.accessioned2021-11-30T10:49:01Z
dc.date.available2021-11-30T10:49:01Z
dc.date.issued2021
dc.identifier.issn0363-0129
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22312
dc.language.isoenen
dc.subjectDegenerate parabolic equationsen
dc.subjectbacksteppingen
dc.subjectstabilizationen
dc.subjectFredholm transformen
dc.subject.ddc515en
dc.titleA Fredholm transformation for the rapid stabilization of a degenerate parabolic equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper deals with the rapid stabilization of a degenerate parabolic equation with a right Dirich-let control. Our strategy consists in applying a backstepping strategy, which seeks to find an invertible transformation mapping the degenerate parabolic equation to stabilize into an exponentially stable system whose decay rate is known and as large as we desire. The transformation under consideration in this paper is Fredholm. It involves a kernel solving itself another PDE, at least formally. The main goal of the paper is to prove that the Fredholm transformation is well-defined, continuous and invertible in the natural energy space. It allows us to deduce the rapid stabilization.en
dc.relation.isversionofjnlnameSIAM Journal on Control and Optimization
dc.relation.isversionofjnlvol59en
dc.relation.isversionofjnlissue5en
dc.relation.isversionofjnldate2021-10
dc.relation.isversionofjnlpages3828–3859en
dc.relation.isversionofdoi10.1137/20M1372603en
dc.relation.isversionofjnlpublisherSIAM - Society for Industrial and Applied Mathematicsen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2021-11-30T10:37:20Z
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