Control for the Sine-Gordon equation
ESAIM: Control, Optimisation and Calculus of Variations, Tome 10 (2004) no. 4, pp. 553-573.

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 : https://doi.org/10.1051/cocv:2004020
Classification : 35Q53,  49J20,  49J50,  49K20
Mots clés : robust control, sine-Gordon equation, energy estimates, saddle point
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author = {Petcu, Madalina and Temam, Roger},
title = {Control for the {Sine-Gordon} equation},
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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. http://www.numdam.org/articles/10.1051/cocv:2004020/

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