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Program Systems: Theory and Applications, 2013, Volume 4, Issue 4, Pages 91–106
(Mi ps102)
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This article is cited in 3 scientific papers (total 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.
Citation:
V. I. Gurman, I. S. Guseva, O. V. Fesko, “The Turnpike Solutions in the Quantum Systems Control Problem”, Program Systems: Theory and Applications, 4:4 (2013), 91–106
Linking options:
https://www.mathnet.ru/eng/ps102 https://www.mathnet.ru/eng/ps/v4/i4/p91
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Statistics & downloads: |
Abstract page: | 255 | Full-text PDF : | 81 | References: | 52 | First page: | 1 |
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