English

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

Optimization and Control 2009-02-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0902.4293,
  title  = {Stabilization with finite dimensional controllers for a periodic parabolic system under perturbations in the system conductivity},
  author = {Ling Lei},
  journal= {arXiv preprint arXiv:0902.4293},
  year   = {2009}
}

Comments

16pages

R2 v1 2026-06-21T12:15:15.871Z