A Riccati type system attached to a boundary control problem for Laplace equation

Maria Batinetu-Giurgiu



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A boundary control problem with quadratic cost functional for Laplace equation with boundary conditions given by the solution of a differential equation involving control is considered. The form of the feedback for the optimal control and a Riccati type system, which gives a characterization for the kernels that intervient in the feedback form, are derived.

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Batinetu-Giurgiu, Maria