no. 4
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

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. 
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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

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