Switching controls for analytic semigroups and applications to parabolic systems
| hal.structure.identifier | Universidade Federal da Paraiba / Federal University of Paraiba [UFPB] | |
| dc.contributor.author | CHAVES SILVA, Felipe W. | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | ERVEDOZA, Sylvain | |
| hal.structure.identifier | Federal University of Pernambuco [Recife] | |
| dc.contributor.author | ARAUJO DE SOUZA, Diego | |
| dc.date.accessioned | 2024-04-04T02:44:13Z | |
| dc.date.available | 2024-04-04T02:44:13Z | |
| dc.date.issued | 2021 | |
| dc.identifier.issn | 0363-0129 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191391 | |
| dc.description.abstractEn | In this work, we push further the analysis of the problem of switching controls proposed in [31]. The problem consists in the following one: assuming that one can control a system using two or more actuators, does there exist a control strategy such that at all times, only one actuator is active? We answer positively to this question when the controlled system corresponds to an analytic semigroup spanned by a positive self-adjoint operator which is null-controllable in arbitrary small times. Similarly as in [31], our proof relies on analyticity arguments and will also work in finite dimensional setting and under some further spectral assumptions when the operator spans an analytic semigroup but is not necessarily self-adjoint. | |
| dc.description.sponsorship | Interaction Fluide-Structure : Modélisation, analyse, contrôle et simulation - ANR-15-CE40-0010 | |
| dc.description.sponsorship | Centre International de Mathématiques et d'Informatique (de Toulouse) - ANR-11-LABX-0040 | |
| dc.language.iso | en | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.title.en | Switching controls for analytic semigroups and applications to parabolic systems | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| bordeaux.journal | SIAM Journal on Control and Optimization | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03001962 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03001962v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=SIAM%20Journal%20on%20Control%20and%20Optimization&rft.date=2021&rft.eissn=0363-0129&rft.issn=0363-0129&rft.au=CHAVES%20SILVA,%20Felipe%20W.&ERVEDOZA,%20Sylvain&ARAUJO%20DE%20SOUZA,%20Diego&rft.genre=article |
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