[Contrôlabilité exacte d'un corps piézo-électrique]
On considère un corps constitué d'un matériau dont la loi constitutive introduit un couplage élastique-électrique. On montre que, sans faire aucune hypothèse géométrique, l'application de deux contrôles agissant sur la totalité de la frontière (un contrôle élastique et un contrôle électrique) permet de contrôler le système en temps fini.
In this Note we study the exact controllability of a three-dimensional body made of a material whose constitutive law introduces an elasticity-electricity coupling. We show that, without any geometrical assumption, two controls (the elastic and the electric controls) acting on the whole boundary drive the system to rest in finite time.
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@article{CRMATH_2009__347_3-4_167_0,
author = {Lasiecka, Irena and Miara, Bernadette},
title = {Exact controllability of a {3D} piezoelectric body},
journal = {Comptes Rendus. Math\'ematique},
pages = {167--172},
publisher = {Elsevier},
volume = {347},
number = {3-4},
year = {2009},
doi = {10.1016/j.crma.2008.12.007},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/j.crma.2008.12.007/}
}
TY - JOUR AU - Lasiecka, Irena AU - Miara, Bernadette TI - Exact controllability of a 3D piezoelectric body JO - Comptes Rendus. Mathématique PY - 2009 SP - 167 EP - 172 VL - 347 IS - 3-4 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2008.12.007/ DO - 10.1016/j.crma.2008.12.007 LA - en ID - CRMATH_2009__347_3-4_167_0 ER -
%0 Journal Article %A Lasiecka, Irena %A Miara, Bernadette %T Exact controllability of a 3D piezoelectric body %J Comptes Rendus. Mathématique %D 2009 %P 167-172 %V 347 %N 3-4 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2008.12.007/ %R 10.1016/j.crma.2008.12.007 %G en %F CRMATH_2009__347_3-4_167_0
Lasiecka, Irena; Miara, Bernadette. Exact controllability of a 3D piezoelectric body. Comptes Rendus. Mathématique, Tome 347 (2009) no. 3-4, pp. 167-172. doi : 10.1016/j.crma.2008.12.007. http://archive.numdam.org/articles/10.1016/j.crma.2008.12.007/
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