A convergence computational scheme for optimal control problems governed by Schrödinger equations
by Akbar Hashemi Borzabadi; Mohammad Heidari
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 4, No. 2, 2013

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.

Online publication date: Sat, 26-Jul-2014

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