Stabilizing controllers for perturbed distributed parameter systems

The question of stabilization of perturbed (or uncertain) infinite-dimensional systems is considered. The class of perturbations for which the system remains stabilizable by the same feedback law as for the nominal system is identified. Sufficient conditions are presented that guarantee strong stabilizability of the perturbed system, given that the unperturbed system has similar properties. It is shown that for deterministic as well as stochastic systems, exponential stability can be achieved by choice of a suitable feedback controller. The theoretical results are illustrated by some numerical examples