Control for the sine-gordon equation
ESAIM: Control, Optimisation and Calculus of Variations (2010)
- Volume: 10, Issue: 4, page 553-573
- ISSN: 1292-8119
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topPetcu, Madalina, and Temam, Roger. "Control for the sine-gordon equation." ESAIM: Control, Optimisation and Calculus of Variations 10.4 (2010): 553-573. <http://eudml.org/doc/90743>.
@article{Petcu2010,
abstract = {
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.
},
author = {Petcu, Madalina, Temam, Roger},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Robust control; sine-Gordon equation; energy estimates; saddle point.; robust control; saddle point},
language = {eng},
month = {3},
number = {4},
pages = {553-573},
publisher = {EDP Sciences},
title = {Control for the sine-gordon equation},
url = {http://eudml.org/doc/90743},
volume = {10},
year = {2010},
}
TY - JOUR
AU - Petcu, Madalina
AU - Temam, Roger
TI - Control for the sine-gordon equation
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 10
IS - 4
SP - 553
EP - 573
AB -
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.
LA - eng
KW - Robust control; sine-Gordon equation; energy estimates; saddle point.; robust control; saddle point
UR - http://eudml.org/doc/90743
ER -
References
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