Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Abstract

The nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are presented, too.

Keywords

• optimal control problem
• nonlinear stability
• periodic solutions
• optimal homotopy asymptotic method
• 02.20.sv
• 02.60.-x
• 37j25
• 65p40
• 74h10
• 37n20