On a class of constrained boundary control problems treated with a lifting function approach

Abstract

In this work we consider an abstract class of constrained boundary optimal control problems in which the boundary control is realized with a lifting function approach. The choice of this formulation provides several advantages from both theoretical and computational points of view which are discussed. In particular, this approach avoids any mismatch between the regularity of the boundary control and that of the trace of the corresponding state variable. Two applications of multiphysics optimal control problems that fit within the proposed abstract framework are presented.