Dans cette Note, nous étudions la synchronisation exacte dʼun système couplé dʼéquations des ondes par des contrôles frontières de Dirichlet et diverses idées connexes sont introduites. En utilisant la nulle contrôlabilité exacte dʼun système réduit couplé, et sous certaines conditions de compatibilité, nous avons établi la synchronisation exacte, la synchronisation exacte par groupes, et la nulle contrôlabilité et la synchronisation exacte par groupes, au moyen de contrôles convenables.
In this Note, the exact synchronization for a coupled system of wave equations with Dirichlet boundary controls and some related concepts are introduced. By means of the exact null controllability of a reduced coupled system, under certain conditions of compatibility, the exact synchronization, the exact synchronization by groups, and the exact null controllability and synchronization by groups are all realized by suitable boundary controls.
Accepté le :
Publié le :
Tatsien Li 1, 2 ; Bopeng Rao 3
@article{CRMATH_2012__350_15-16_767_0,
author = {Tatsien Li and Bopeng Rao},
title = {Synchronisation exacte d'un syst\`eme coupl\'e d'\'equations des ondes par des contr\^oles fronti\`eres de {Dirichlet}},
journal = {Comptes Rendus. Math\'ematique},
pages = {767--772},
publisher = {Elsevier},
volume = {350},
number = {15-16},
year = {2012},
doi = {10.1016/j.crma.2012.09.007},
language = {fr},
}
TY - JOUR AU - Tatsien Li AU - Bopeng Rao TI - Synchronisation exacte dʼun système couplé dʼéquations des ondes par des contrôles frontières de Dirichlet JO - Comptes Rendus. Mathématique PY - 2012 SP - 767 EP - 772 VL - 350 IS - 15-16 PB - Elsevier DO - 10.1016/j.crma.2012.09.007 LA - fr ID - CRMATH_2012__350_15-16_767_0 ER -
%0 Journal Article %A Tatsien Li %A Bopeng Rao %T Synchronisation exacte dʼun système couplé dʼéquations des ondes par des contrôles frontières de Dirichlet %J Comptes Rendus. Mathématique %D 2012 %P 767-772 %V 350 %N 15-16 %I Elsevier %R 10.1016/j.crma.2012.09.007 %G fr %F CRMATH_2012__350_15-16_767_0
Tatsien Li; Bopeng Rao. Synchronisation exacte dʼun système couplé dʼéquations des ondes par des contrôles frontières de Dirichlet. Comptes Rendus. Mathématique, Volume 350 (2012) no. 15-16, pp. 767-772. doi : 10.1016/j.crma.2012.09.007. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2012.09.007/
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