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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorLE BALC’H, Kévin
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorTUCSNAK, Marius
dc.date.accessioned2024-04-04T02:48:43Z
dc.date.available2024-04-04T02:48:43Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191765
dc.description.abstractEnIn this paper, we consider the infinite time horizon LQR optimal control problem for the linearized Boussinesq system. The goal is to justify the approximation by penalization of the free divergence condition in this context. We establish convergence results for optimal controls, optimal solutions and Riccati operators when the penalization parameter goes to zero. These results are obtained under two dierent assumptions. The first one treats the linearization around a suffciently small stationary state and an arbitrary control operator (possibly of nite rank), while the second one does no longer require the smallness of the stationary state but requires to consider controls distributed in a subdomain and depending on the space variable.
dc.language.isoen
dc.title.enA penalty approach to the infinite horizon LQR optimal control problem for the linearized Boussinesq system
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Optimisation et contrôle [math.OC]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03029864
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03029864v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=LE%20BALC%E2%80%99H,%20K%C3%A9vin&TUCSNAK,%20Marius&rft.genre=preprint


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