The $H^{\infty}$-control problem for parabolic systems with singular Hardy potentials

Gabriela Marinoschi

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arXiv · 2302.01149

The $H^{\infty}$-control problem for parabolic systems with singular Hardy potentials

Gabriela Marinoschi

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Abstract

We solve the $H^{\infty}$-control problem with state feedback for infinite dimensional boundary control systems of parabolic type with distributed disturbances and apply the results to equations with Hardy potentials with the singularity inside or on the boundary, in the cases of a distributed control and of a boundary control.

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Gabriela Marinoschi. 2023-02-02. The $H^{\infty}$-control problem for parabolic systems with singular Hardy potentials. https://arxiv.org/abs/2302.01149

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