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INPUT-TO-STATE STABILITY FOR BILINEAR FEEDBACK SYSTEMS

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
hal.structure.identifierUniversity of Wuppertal
dc.contributor.authorJACOB, Birgit
hal.structure.identifierUniversity of Wuppertal
dc.contributor.authorHOSFELD, René
hal.structure.identifierDepartment of Mathematics, University of Twente
dc.contributor.authorSCHWENNINGER, Felix
dc.date.accessioned2024-04-04T02:35:27Z
dc.date.available2024-04-04T02:35:27Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/190639
dc.description.abstractEnInput-to-state stability estimates with respect to small initial conditions and input functions for infinite-dimensional systems with bilinear feedback are shown. We apply the obtained results to controlled versions of a viscous Burger equation with Dirichlet boundary conditions, a Schrödinger equation, a Navier-Stokes equation and a semilinear wave equation.
dc.language.isoen
dc.subject.enInput-to-state stability
dc.subject.enbilinear systems
dc.subject.enfeedback systems
dc.subject.enC0-semigroups
dc.subject.enadmissibility
dc.title.enINPUT-TO-STATE STABILITY FOR BILINEAR FEEDBACK SYSTEMS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]
dc.identifier.arxiv2303.04563
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-04020176
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-04020176v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=TUCSNAK,%20Marius&JACOB,%20Birgit&HOSFELD,%20Ren%C3%A9&SCHWENNINGER,%20Felix&rft.genre=preprint


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