# Control for the Sine-Gordon equation

Madalina Petcu; Roger Temam^{[1]}

- [1] The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA.

ESAIM: Control, Optimisation and Calculus of Variations (2004)

- 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 (2004): 553-573. <http://eudml.org/doc/245747>.

@article{Petcu2004,

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.},

affiliation = {The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, IN, USA.},

author = {Petcu, Madalina, Temam, Roger},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {robust control; sine-Gordon equation; energy estimates; saddle point},

language = {eng},

number = {4},

pages = {553-573},

publisher = {EDP-Sciences},

title = {Control for the Sine-Gordon equation},

url = {http://eudml.org/doc/245747},

volume = {10},

year = {2004},

}

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

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

UR - http://eudml.org/doc/245747

ER -

## References

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