Robust boundary control for linear time-varying infinite dimensional systems

The problem of robust: boundary control for a class of infinite dimensional systems under mixed uncertainties is addressed. A strong solution of the D irichlet boundary problem corresponding to the perturbed evolution operator is introduced. The Lyapunov function approach is used for proving that the re is a controller which stabilizes this class of systems under the presenc e of smooth enough internal and external perturbations and guarantees some tolerance level for the joint cost functional. The derived control consists of two parts: a compensating one and a linear feedback controller with a g ain operator which is a positive inverse solution of a corresponding operat or Riccati equation. A heating boundary control process is given as an illu stration of the suggested approach.