An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.
Mots-clés : time optimal control, wave equation, optimality condition, transversality condition
@article{COCV_2013__19_2_317_0, author = {Kunisch, Karl and Wachsmuth, Daniel}, title = {On time optimal control of the wave equation, its regularization and optimality system}, journal = {ESAIM: Control, Optimisation and Calculus of Variations}, pages = {317--336}, publisher = {EDP-Sciences}, volume = {19}, number = {2}, year = {2013}, doi = {10.1051/cocv/2012010}, mrnumber = {3049713}, zbl = {1268.49025}, language = {en}, url = {http://www.numdam.org/articles/10.1051/cocv/2012010/} }
TY - JOUR AU - Kunisch, Karl AU - Wachsmuth, Daniel TI - On time optimal control of the wave equation, its regularization and optimality system JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2013 SP - 317 EP - 336 VL - 19 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/cocv/2012010/ DO - 10.1051/cocv/2012010 LA - en ID - COCV_2013__19_2_317_0 ER -
%0 Journal Article %A Kunisch, Karl %A Wachsmuth, Daniel %T On time optimal control of the wave equation, its regularization and optimality system %J ESAIM: Control, Optimisation and Calculus of Variations %D 2013 %P 317-336 %V 19 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/cocv/2012010/ %R 10.1051/cocv/2012010 %G en %F COCV_2013__19_2_317_0
Kunisch, Karl; Wachsmuth, Daniel. On time optimal control of the wave equation, its regularization and optimality system. ESAIM: Control, Optimisation and Calculus of Variations, Tome 19 (2013) no. 2, pp. 317-336. doi : 10.1051/cocv/2012010. http://www.numdam.org/articles/10.1051/cocv/2012010/
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