Compact perturbations of controlled systems
| hal.structure.identifier | Institut de Mathématiques de Marseille [I2M] | |
| dc.contributor.author | DUPREZ, Michel | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OLIVE, Guillaume | |
| dc.date.accessioned | 2024-04-04T03:09:26Z | |
| dc.date.available | 2024-04-04T03:09:26Z | |
| dc.date.created | 2017-07-27 | |
| dc.date.issued | 2018-06 | |
| dc.identifier.issn | 2156-8472 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193604 | |
| dc.description.abstractEn | In this article we study the controllability properties of general compactly perturbed exactly controlled linear systems with admissible control operators. Firstly, we show that approximate and exact controllability are equivalent properties for such systems. Then, and more importantly, we provide for the perturbed system a complete characterization of the set of reachable states in terms of the Fattorini-Hautus test. The results rely on the Peetre lemma. | |
| dc.language.iso | en | |
| dc.publisher | AIMS | |
| dc.subject.en | Compactness-uniqueness | |
| dc.subject.en | Fattorini-Hautus test | |
| dc.subject.en | Exact controllability | |
| dc.subject.en | Reachable states | |
| dc.title.en | Compact perturbations of controlled systems | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Mathematical Control and Related Fields | |
| bordeaux.page | 397-410 | |
| bordeaux.volume | 8 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 2 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01406540 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01406540v1 | |
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