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

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
References:
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.
Document Type: Article
UDC: 517.977
Language: Russian
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
Citation in format AMSBIB
\Bibitem{GurGusFes13}
\by V.~I.~Gurman, I.~S.~Guseva, O.~V.~Fesko
\paper The Turnpike Solutions in the Quantum Systems Control Problem
\jour Program Systems: Theory and Applications
\yr 2013
\vol 4
\issue 4
\pages 91--106
\mathnet{http://mi.mathnet.ru/ps102}
Linking options:
  • https://www.mathnet.ru/eng/ps102
  • https://www.mathnet.ru/eng/ps/v4/i4/p91
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Program Systems: Theory and Applications
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    Full-text PDF :81
    References:52
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