Dans cette Note, nous obtenons des conditions nécessaires, exprimées sous la forme de critères du type de Kálmán, pour la contrôlabilité nulle approchée et la synchronisation approchée par groupes d'un système couplé d'équations des ondes avec des contrôles frontières de Dirichlet. De plus, nous établissons la suffisance de ces conditions pour certains systèmes, en particulier pour des systèmes en dimension d'espace un.
In this Note, we obtain necessary conditions, formulated as criteria of Kálmán's type, for the approximate null controllability and the approximate synchronization by groups of a coupled system of wave equations with Dirichlet boundary controls. We also establish the sufficiency of these conditions for some systems, in particular for systems in one space dimension.
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@article{CRMATH_2015__353_1_63_0,
author = {Li, Tatsien and Rao, Bopeng},
title = {Crit\`eres du type de {K\'alm\'an} pour la contr\^olabilit\'e approch\'ee et la synchronisation approch\'ee d'un syst\`eme coupl\'e d'\'equations des ondes},
journal = {Comptes Rendus. Math\'ematique},
pages = {63--68},
publisher = {Elsevier},
volume = {353},
number = {1},
year = {2015},
doi = {10.1016/j.crma.2014.10.023},
language = {fr},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2014.10.023/}
}
TY - JOUR AU - Li, Tatsien AU - Rao, Bopeng TI - Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d'un système couplé d'équations des ondes JO - Comptes Rendus. Mathématique PY - 2015 SP - 63 EP - 68 VL - 353 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2014.10.023/ DO - 10.1016/j.crma.2014.10.023 LA - fr ID - CRMATH_2015__353_1_63_0 ER -
%0 Journal Article %A Li, Tatsien %A Rao, Bopeng %T Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d'un système couplé d'équations des ondes %J Comptes Rendus. Mathématique %D 2015 %P 63-68 %V 353 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2014.10.023/ %R 10.1016/j.crma.2014.10.023 %G fr %F CRMATH_2015__353_1_63_0
Li, Tatsien; Rao, Bopeng. Critères du type de Kálmán pour la contrôlabilité approchée et la synchronisation approchée d'un système couplé d'équations des ondes. Comptes Rendus. Mathématique, Tome 353 (2015) no. 1, pp. 63-68. doi : 10.1016/j.crma.2014.10.023. http://archive.numdam.org/articles/10.1016/j.crma.2014.10.023/
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