Geodesic
Control for the Sine-Gordon equation
Petcu, Madalina  ; Temam, Roger1 
1 The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 553-573

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

In this article we apply the optimal and the robust control theory to the sine-Gordon equation. In our case the control is given by the boundary conditions and we work in a finite time horizon. We present at the beginning the optimal control problem and we derive a necessary condition of optimality and we continue by formulating a robust control problem for which existence and uniqueness of solutions are derived.

DOI : 10.1051/cocv:2004020
Classification : 35Q53, 49J20, 49J50, 49K20
Keywords: robust control, sine-Gordon equation, energy estimates, saddle point

Petcu, Madalina  ; Temam, Roger 1

1 The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA. 
@article{COCV_2004__10_4_553_0,
     author = {Petcu, Madalina and Temam, Roger},
     title = {Control for the {Sine-Gordon} equation},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {553--573},
     publisher = {EDP-Sciences},
     volume = {10},
     number = {4},
     year = {2004},
     doi = {10.1051/cocv:2004020},
     mrnumber = {2111080},
     zbl = {1087.49004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004020/}
}
TY  - JOUR
AU  - Petcu, Madalina
AU  - Temam, Roger
TI  - Control for the Sine-Gordon equation
JO  - ESAIM: Control, Optimisation and Calculus of Variations
PY  - 2004
SP  - 553
EP  - 573
VL  - 10
IS  - 4
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004020/
DO  - 10.1051/cocv:2004020
LA  - en
ID  - COCV_2004__10_4_553_0
ER  - 
%0 Journal Article
%A Petcu, Madalina
%A Temam, Roger
%T Control for the Sine-Gordon equation
%J ESAIM: Control, Optimisation and Calculus of Variations
%D 2004
%P 553-573
%V 10
%N 4
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2004020/
%R 10.1051/cocv:2004020
%G en
%F COCV_2004__10_4_553_0
Petcu, Madalina; Temam, Roger. Control for the Sine-Gordon equation. ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 553-573. doi: 10.1051/cocv:2004020

Cité par Sources :