An Optimal Control Problem with Final Observation for Systems Governed by Nonlinear Schrödinger Equation

Abstract

In this paper, an optimal control problem with final observation for systems gov-
erned by nonlinear time-dependent Schrödinger equation is studied. The existence and uniqueness of the solution of considered optimal control problem are proved. The first variation of objective functional is obtained and a necessary optimality condition in the variational form is given.