STABILIZATION OF SOME DISTRIBUTED PARAMETER-SYSTEMS

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