[Une nouvelle relation entre lʼindice de condensation des suites complexes et la contrôlabilité à zéro des systèmes paraboliques]
On annonce un résultat qui relie lʼindice de condensation des suites complexes et la contrôlabilité à zéro des systèmes paraboliques. On montre quʼun temps minimal de contrôle est nécessaire. Ces résultats sont ensuite utilisés pour étudier la contrôlabilité à zéro par le bord de quelques systèmes paraboliques.
In this note, we present a new result that relates the condensation index of a sequence of complex numbers with the null controllability of parabolic systems. We show that a minimal time is required for controllability. The results are used to prove the boundary controllability of some coupled parabolic equations.
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@article{CRMATH_2013__351_19-20_743_0,
author = {Ammar Khodja, Farid and Benabdallah, Assia and Gonz\'alez-Burgos, Manuel and de Teresa, Luz},
title = {A new relation between the condensation index of complex sequences and the null controllability of parabolic systems},
journal = {Comptes Rendus. Math\'ematique},
pages = {743--746},
publisher = {Elsevier},
volume = {351},
number = {19-20},
year = {2013},
doi = {10.1016/j.crma.2013.09.014},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.09.014/}
}
TY - JOUR AU - Ammar Khodja, Farid AU - Benabdallah, Assia AU - González-Burgos, Manuel AU - de Teresa, Luz TI - A new relation between the condensation index of complex sequences and the null controllability of parabolic systems JO - Comptes Rendus. Mathématique PY - 2013 SP - 743 EP - 746 VL - 351 IS - 19-20 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.09.014/ DO - 10.1016/j.crma.2013.09.014 LA - en ID - CRMATH_2013__351_19-20_743_0 ER -
%0 Journal Article %A Ammar Khodja, Farid %A Benabdallah, Assia %A González-Burgos, Manuel %A de Teresa, Luz %T A new relation between the condensation index of complex sequences and the null controllability of parabolic systems %J Comptes Rendus. Mathématique %D 2013 %P 743-746 %V 351 %N 19-20 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.09.014/ %R 10.1016/j.crma.2013.09.014 %G en %F CRMATH_2013__351_19-20_743_0
Ammar Khodja, Farid; Benabdallah, Assia; González-Burgos, Manuel; de Teresa, Luz. A new relation between the condensation index of complex sequences and the null controllability of parabolic systems. Comptes Rendus. Mathématique, Tome 351 (2013) no. 19-20, pp. 743-746. doi : 10.1016/j.crma.2013.09.014. http://www.numdam.org/articles/10.1016/j.crma.2013.09.014/
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