STABILIZATION OF UNCERTAIN DISTRIBUTED PARAMETER-SYSTEMS

The stabilization of uncertain systems governed by an evolution equati on in a real Hilbert space is studied. The uncertain systems under con sideration are described by state equations in which both the state an d input operators depend upon uncertain parameters. Exponential stabil ity 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.