A BRIEF SUMMARY OF OPTIMAL CONTROL OF UNCERTAIN SYSTEMS GOVERNED BY PARABOLIC INCLUSIONS

This paper presents a brief summary of some recent results of the author. We develop a method for constructing optimal output feedback boundary control law ( operator) for a class of uncertain parabolic systems governed by inclusions. The objective functional is defined on a suitable subset of the space of operators to represent the output feedback boundary control law. We prove the existence of an optimal operator and present necessary conditions of optimality. An algorithm based on the necessary conditions is also presented. This is also extended to the case of nonlinear feedback operators.