A convergence computational scheme for optimal control problems governed by Schrödinger equations. (1st January 2013)

• Record Type: Journal Article
• Authors: Borzabadi, Akbar Hashemi; Heidari, Mohammad
• Is Part Of: International journal of mathematical modelling and numerical optimisation. Volume 4:Number 2(2013)
• Page Start: 91
• Page End: 102
• Publication Date: 2013-01-01
• Subjects: optimal control problem -- Schrödinger equation -- evolutionary algorithm -- discretisation -- approximation; Mathematical models -- Periodicals; Mathematical optimization -- Periodicals; 519.605
• Languages: English
• ISSNs: 2040-3607

Abstract

In this paper, a numerical scheme for obtaining approximate solutions of optimal control problems governed by Schrödinger equations is presented. In this method, by considering a partition of the control space, discrete form of the problem is converted to a quasi assignment problem. Then using an evolutionary algorithm, approximate optimal control is obtained as a piecewise linear function. The comparison between the numerical solution and the exact solution for the test cases shows the good accuracy of the presented method.