# 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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- R. Temam, Infinite Dimensional Dynamical Systems in Mechanics and Physics. Appl. Math. Sci.68, Second augmented edition, Springer-Verlag, New York (1997). Zbl0871.35001

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