Geodesic
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

Voir la notice de l'article provenant de la source Numdam

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
Keywords: 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; 
@article{COCV_2005__11_3_426_0,
     author = {Khodja, Farid Ammar and Benabdallah, Assia and Dupaix, C\'edric and Kostin, Ilya},
     title = {Null-controllability of some systems of parabolic type by one control force},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {426--448},
     publisher = {EDP-Sciences},
     volume = {11},
     number = {3},
     year = {2005},
     doi = {10.1051/cocv:2005013},
     mrnumber = {2148852},
     zbl = {1125.93005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005013/}
}
TY  - JOUR
AU  - Khodja, Farid Ammar
AU  - Benabdallah, Assia
AU  - Dupaix, Cédric
AU  - Kostin, Ilya
TI  - Null-controllability of some systems of parabolic type by one control force
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2005
SP  - 426
EP  - 448
VL  - 11
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005013/
DO  - 10.1051/cocv:2005013
LA  - en
ID  - COCV_2005__11_3_426_0
ER  - 
%0 Journal Article
%A Khodja, Farid Ammar
%A Benabdallah, Assia
%A Dupaix, Cédric
%A Kostin, Ilya
%T Null-controllability of some systems of parabolic type by one control force
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2005
%P 426-448
%V 11
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005013/
%R 10.1051/cocv:2005013
%G en
%F COCV_2005__11_3_426_0
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

Cité par Sources :