Null-controllability of some systems of parabolic type by one control force
Khodja, Farid Ammar ; Benabdallah, Assia ; Dupaix, Cédric ; Kostin, Ilya1
1 Université de Saint-Etienne, Équipe d’Analyse Numérique, 23 rue Paul MICHELON, 42023 Saint-Etienne Cedex 02, France;
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 3, pp. 426-448.

We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.

DOI : 10.1051/cocv:2005013
Classification : 93B05, 93C20, 93C25, 35K90
Mots-clés : control, parabolic systems
Khodja, Farid Ammar  ; Benabdallah, Assia  ; Dupaix, Cédric  ; Kostin, Ilya 1

1 Université de Saint-Etienne, Équipe d’Analyse Numérique, 23 rue Paul MICHELON, 42023 Saint-Etienne Cedex 02, France; 
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Khodja, Farid Ammar; Benabdallah, Assia; Dupaix, Cédric; Kostin, Ilya. Null-controllability of some systems of parabolic type by one control force. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 3, pp. 426-448. doi : 10.1051/cocv:2005013. http://www.numdam.org/articles/10.1051/cocv:2005013/

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