Stabilization with finite dimensional controllers for a periodic parabolic system under perturbations in the system conductivity

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This work studies the stabilization for a periodic parabolic system under perturbations in the system conductivity. A perturbed system does not have any periodic solution in general. However, we will prove that the perturbed system can always be pulled back to a periodic system after imposing a control from a fixed finite dimensional subspace.
16pages

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