Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation
| hal.structure.identifier | Laboratoire Jacques-Louis Lions [LJLL] | |
| dc.contributor.author | CORON, Jean-Michel | |
| hal.structure.identifier | School of Mathematics [Shandong] | |
| dc.contributor.author | HU, Long | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OLIVE, Guillaume | |
| dc.date.accessioned | 2024-04-04T03:11:49Z | |
| dc.date.available | 2024-04-04T03:11:49Z | |
| dc.date.created | 2016-12-21 | |
| dc.date.issued | 2017-10 | |
| dc.identifier.issn | 0005-1098 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193807 | |
| dc.description.abstractEn | This paper is devoted to a simple and new proof on the optimal finite control time for general linear coupled hyperbolic system by using boundary feedback on one side. The feedback control law is designed by first using a Volterra transformation of the second kind and then using an invertible Fredholm transformation. Both existence and invertibility of the transformations are easily obtained. | |
| dc.description.sponsorship | Commande et estimation en temps fini pour les Systèmes de Systèmes - ANR-15-CE23-0007 | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | Boundary stabilization | |
| dc.subject.en | Coupled hyperbolic systems | |
| dc.subject.en | Optimal finite time | |
| dc.subject.en | Fredholm transformation | |
| dc.title.en | Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.automatica.2017.05.013 | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.identifier.arxiv | 1701.05067 | |
| dc.description.sponsorshipEurope | Control of partial differential equations and nonlinearity | |
| bordeaux.journal | Automatica | |
| bordeaux.volume | 84 | |
| 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-01437107 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01437107v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Automatica&rft.date=2017-10&rft.volume=84&rft.eissn=0005-1098&rft.issn=0005-1098&rft.au=CORON,%20Jean-Michel&HU,%20Long&OLIVE,%20Guillaume&rft.genre=article |
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