CONTROLLABILITY AND OBSERVABILITY FOR NON-AUTONOMOUS EVOLUTION EQUATIONS: THE AVERAGED HAUTUS TEST
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, El-Maati | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HAAK, Bernhard | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | HOANG, Duc-Trung | |
| dc.date.accessioned | 2024-04-04T03:00:04Z | |
| dc.date.available | 2024-04-04T03:00:04Z | |
| dc.date.issued | 2019-11 | |
| dc.identifier.issn | 0167-6911 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192797 | |
| dc.description.abstractEn | We consider the observability problem for non-autonomous evolution systems (i.e., the operators governing the system depend on time). We introduce an averaged Hautus condition and prove that for skew-adjoint operators it characterizes exact observability. Next, we extend this to more general class of operators under a growth condition on the associated evolution family. We give an application to the Schrödinger equation with time dependent potential and the damped wave equation with a time dependent damping coefficient. | |
| dc.description.sponsorship | Systèmes interconnectés de dimension infinie pour les milieux hétérogènes - ANR-16-CE92-0028 | |
| dc.language.iso | en | |
| dc.title.en | CONTROLLABILITY AND OBSERVABILITY FOR NON-AUTONOMOUS EVOLUTION EQUATIONS: THE AVERAGED HAUTUS TEST | |
| 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 | Systems & Control Letters | |
| bordeaux.volume | 133 | |
| 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-01717316 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01717316v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Systems%20&%20Control%20Letters&rft.date=2019-11&rft.volume=133&rft.eissn=0167-6911&rft.issn=0167-6911&rft.au=OUHABAZ,%20El-Maati&HAAK,%20Bernhard&HOANG,%20Duc-Trung&rft.genre=article |
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