 |
|
| HAL: hal-00636605, version 1 |
| Detailed view |  Export this paper |
 |
|
|
| Indirect controllability of locally coupled wave-type systems and applications |
|
|
| Fatiha Alabau-Boussouira 1, 2, 3Matthieu Léautaud 4, 5 |
|
|
| For the CORIDA ; POEMS collaboration(s) |
|
|
| (2011-08) |
|
|
|
| We consider symmetric systems of two wave-type equations only one of them being controlled. The two equations are coupled by zero order terms, localized in part of the domain. We prove an internal and a boundary null-controllability result in any space dimension, provided that both the coupling and the control regions satisfy the Geometric Control Condition. We deduce similar null-controllability results in any positive time for parabolic systems and Schrödinger-type systems under the same geometric conditions on the coupling and the control regions. This includes several examples in which these two regions have an empty intersection. |
|
|
|
|
|
|
|
|
|
|
|
| 1: | Laboratoire de Mathématiques et Applications de Metz (LMAM) |
|
|
|
CNRS : UMR7122 – Université Paul Verlaine - Metz |
|
|
| 2: | Mathématiques - Analyse, Probabilités, Modélisation - Orléans (MAPMO) |
|
|
|
Université d'Orléans – CNRS : UMR7349 |
|
|
| 3: | CORIDA (INRIA Nancy - Grand Est / IECN / LMAM) |
|
|
|
INRIA – CNRS : UMR7502 – Université de Lorraine |
|
|
| 4: | Laboratoire Jacques-Louis Lions (LJLL) |
|
|
|
CNRS : UMR7598 – Université Pierre et Marie Curie (UPMC) - Paris VI |
|
|
| 5: | POEMS (CNRS:UMR 7231 - ENSTA - INRIA Rocquencourt) |
|
|
|
INRIA – CNRS : UMR7231 – ENSTA ParisTech |
|
|
|
|
|
|
|
|
|
| Subject | : | Mathematics/Analysis of PDEs |
|
|
| Observability – controllability – wave equation – hyperbolic systems – parabolic systems – geometric conditions |
|
|
|
| Attached file list to this document: | |||||
|
|||||
|
|
|
| hal-00636605, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00636605 | |
| oai:hal.archives-ouvertes.fr:hal-00636605 | |
| From: Matthieu Léautaud | |
| Submitted on: Thursday, 27 October 2011 17:55:46 | |
| Updated on: Tuesday, 6 December 2011 11:44:02 | |
