[Contrôlabilité de systèmes multi-dimensionnels couplés en cascade par un nombre réduit de contrôles]
Nous démontrons quʼil est possible de contrôler des systèmes de N équations dʼévolution faiblement couplées en cascade par un nombre réduit de contrôles frontière ou localement distribués, le nombre de contrôle pouvant varier de 1 à . Nous donnons des applications aux systèmes couplés multi-dimensionnels en cascade hyperboliques, paraboliques et de Schrödinger.
We prove controllability results for abstract systems of weakly coupled N evolution equations in cascade by a reduced number of boundary or locally distributed controls ranging from a single up to controls. We give applications to cascade coupled systems of N multi-dimensional hyperbolic, parabolic and diffusive equations.
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@article{CRMATH_2012__350_11-12_577_0,
author = {Alabau-Boussouira, Fatiha},
title = {Controllability of cascade coupled systems of multi-dimensional evolution {PDEs} by a reduced number of controls},
journal = {Comptes Rendus. Math\'ematique},
pages = {577--582},
publisher = {Elsevier},
volume = {350},
number = {11-12},
year = {2012},
doi = {10.1016/j.crma.2012.05.009},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2012.05.009/}
}
TY - JOUR AU - Alabau-Boussouira, Fatiha TI - Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls JO - Comptes Rendus. Mathématique PY - 2012 SP - 577 EP - 582 VL - 350 IS - 11-12 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2012.05.009/ DO - 10.1016/j.crma.2012.05.009 LA - en ID - CRMATH_2012__350_11-12_577_0 ER -
%0 Journal Article %A Alabau-Boussouira, Fatiha %T Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls %J Comptes Rendus. Mathématique %D 2012 %P 577-582 %V 350 %N 11-12 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2012.05.009/ %R 10.1016/j.crma.2012.05.009 %G en %F CRMATH_2012__350_11-12_577_0
Alabau-Boussouira, Fatiha. Controllability of cascade coupled systems of multi-dimensional evolution PDEs by a reduced number of controls. Comptes Rendus. Mathématique, Tome 350 (2012) no. 11-12, pp. 577-582. doi : 10.1016/j.crma.2012.05.009. http://www.numdam.org/articles/10.1016/j.crma.2012.05.009/
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