Stabilization of uncertain distributed parameter systems

Abstract

The stabilization of uncertain systems governed by an evolution equation in a real Hilbert space is studied. The uncertain systems under consideration are described by state equations in which both the state and input operators depend upon uncertain parameters. Exponential stability is achieved by the suitable choice of state feedback control. The proofs are based upon perturbation analysis of semigroup and Lyapunov theory. A number of examples are given to illustrate the approach.