Stabilization of some distributed parameter systems

The question of stabilization of perturbed (or uncertain) infinite-dimensional systems is considered. One 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 generate strong stabilizability of the perturbed system given that the unperturbed system has similar properties. It is also 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