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

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

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.

DOI : 10.1051/cocv/2012010
Classification : 49K20, 93C20, 35L05
Keywords: 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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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://geodesic.mathdoc.fr/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

Cité par Sources :