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.
Keywords: control, parabolic systems
Khodja, Farid Ammar ; Benabdallah, Assia ; Dupaix, Cédric ; Kostin, Ilya 1
@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},
year = {2005},
publisher = {EDP Sciences},
volume = {11},
number = {3},
doi = {10.1051/cocv:2005013},
mrnumber = {2148852},
zbl = {1125.93005},
language = {en},
url = {https://www.numdam.org/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 - https://www.numdam.org/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 https://www.numdam.org/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
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