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

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

2009-02-25

arxiv.org/abs/0902.4293v1

Mathematics

Optimization and Control

16pages

Scientific paper

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.

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