An Optimization Problem of Boundary Type for Cooperative Hyperbolic Systems Involving Schrödinger Operator

Abstract

In this paper, we consider cooperative hyperbolic systems involving Schr?dinger operator defined on  Rn. First we prove the existence and uniqueness of the state for these systems. Then we find the necessary and sufficient conditions of optimal control for such systems of the boundary type. We also find the necessary and sufficient conditions of optimal control for same systems when the observation is on the boundary.