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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2013 Volume 4, Issue 4, Pages 91–106 (Mi ps102)

This article is cited in 3 papers

Optimization Methods and Control Theory

The Turnpike Solutions in the Quantum Systems Control Problem

V. I. Gurmana, I. S. Gusevab, O. V. Feskoa

a Program Systems Institute of RAS
b Buryat State University

Abstract: The optimization problem in a spin chain on the basis of Shrödinger equation is considered. The hamiltonian of the equation contains a combination of linear and nonlinear controls. Using the the degenerate problems theory, the problem is reduced to a regular derived problem. This transformation essentially increases the effectiveness of its investigation by iterative methods. The procedure is demonstrated in computational experiments with the use of visual example. (in Russian)

Key words and phrases: optimal control, spin chain, degenerate problems, turnpike solution, global improvement method.

UDC: 517.977



© Steklov Math. Inst. of RAS, 2024