Voir la notice de l'article provenant de la source Numdam
Time optimal control problems for an internally controlled heat equation with pointwise control constraints are studied. By Pontryagin's maximum principle and properties of nontrivial solutions of the heat equation, we derive a bang-bang property for time optimal control. Using the bang-bang property and establishing certain connections between time and norm optimal control problems for the heat equation, necessary and sufficient conditions for the optimal time and the optimal control are obtained.
@article{COCV_2013__19_2_460_0,
author = {Kunisch, Karl and Wang, Lijuan},
title = {Time optimal control of the heat equation with pointwise control constraints},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {460--485},
publisher = {EDP-Sciences},
volume = {19},
number = {2},
year = {2013},
doi = {10.1051/cocv/2012017},
mrnumber = {3049719},
zbl = {1272.35109},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012017/}
}
TY - JOUR AU - Kunisch, Karl AU - Wang, Lijuan TI - Time optimal control of the heat equation with pointwise control constraints JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2013 SP - 460 EP - 485 VL - 19 IS - 2 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012017/ DO - 10.1051/cocv/2012017 LA - en ID - COCV_2013__19_2_460_0 ER -
%0 Journal Article %A Kunisch, Karl %A Wang, Lijuan %T Time optimal control of the heat equation with pointwise control constraints %J ESAIM: Control, Optimisation and Calculus of Variations %D 2013 %P 460-485 %V 19 %N 2 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2012017/ %R 10.1051/cocv/2012017 %G en %F COCV_2013__19_2_460_0
Kunisch, Karl; Wang, Lijuan. Time optimal control of the heat equation with pointwise control constraints. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 2, pp. 460-485. doi: 10.1051/cocv/2012017
Cité par Sources :