In this Note, we study the controllability of a class of parabolic systems of the form with Dirichlet conditions on the boundary of a bounded domain Ω, where is a subdomain. Here , and we prove that the algebraic Kalman condition extends to such systems.
Dans cette Note, on étudie la contrôlabilité d'une classe de systèmes paraboliques de la forme avec des conditions de Dirichlet sur le bord d'un domaine borné Ω, où est un sous-domaine. Ici , et on montre que la condition algébrique de Kalman s'étend à de tels systèmes.
Accepted:
Published online:
Farid Ammar-Khodja 1; Assia Benabdallah 2; Cédric Dupaix 1; Manuel González-Burgos 3
@article{CRMATH_2007__345_10_543_0, author = {Farid Ammar-Khodja and Assia Benabdallah and C\'edric Dupaix and Manuel Gonz\'alez-Burgos}, title = {Controllability for a class of reaction{\textendash}diffusion systems: the generalized {Kalman's} condition}, journal = {Comptes Rendus. Math\'ematique}, pages = {543--548}, publisher = {Elsevier}, volume = {345}, number = {10}, year = {2007}, doi = {10.1016/j.crma.2007.10.023}, language = {en}, }
TY - JOUR AU - Farid Ammar-Khodja AU - Assia Benabdallah AU - Cédric Dupaix AU - Manuel González-Burgos TI - Controllability for a class of reaction–diffusion systems: the generalized Kalman's condition JO - Comptes Rendus. Mathématique PY - 2007 SP - 543 EP - 548 VL - 345 IS - 10 PB - Elsevier DO - 10.1016/j.crma.2007.10.023 LA - en ID - CRMATH_2007__345_10_543_0 ER -
%0 Journal Article %A Farid Ammar-Khodja %A Assia Benabdallah %A Cédric Dupaix %A Manuel González-Burgos %T Controllability for a class of reaction–diffusion systems: the generalized Kalman's condition %J Comptes Rendus. Mathématique %D 2007 %P 543-548 %V 345 %N 10 %I Elsevier %R 10.1016/j.crma.2007.10.023 %G en %F CRMATH_2007__345_10_543_0
Farid Ammar-Khodja; Assia Benabdallah; Cédric Dupaix; Manuel González-Burgos. Controllability for a class of reaction–diffusion systems: the generalized Kalman's condition. Comptes Rendus. Mathématique, Volume 345 (2007) no. 10, pp. 543-548. doi : 10.1016/j.crma.2007.10.023. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2007.10.023/
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