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Program Systems: Theory and Applications, 2011, Volume 2, Issue 1, Pages 9–18 (Mi ps23)  
This article is cited in 1 scientific paper (total in 1 paper)

Optimization Methods and Control Theory

The optimal control synthesis for quantum-mechanical system

V. I. Gurman, A. O. Blinov

Program Systems Institute of RAS
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Abstract: It is consider the unbounded optimal control problem of oscillating system which represents the well-known Landau-Zener quantum mechanical model. This problem is degenerate and has a family of turnpike solutions, which can be constructed according to the theory by converting to the derived problem of lower order. This family specifies the synthesis of optimal control in the derived problem and then the approximate synthesis with any accuracy in the original problem.
Key words and phrases: optimization, degenerate problems, turnpikes, synthesis of control, impulse modes, periodic processes, global improvement.
Received: 13.02.2011
Accepted: 11.03.2011
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. I. Gurman, A. O. Blinov, “The optimal control synthesis for quantum-mechanical system”, Program Systems: Theory and Applications, 2:1 (2011), 9–18
Citation in format AMSBIB
\Bibitem{GurBli11}
\by V.~I.~Gurman, A.~O.~Blinov
\paper The optimal control synthesis for quantum-mechanical system
\jour Program Systems: Theory and Applications
\yr 2011
\vol 2
\issue 1
\pages 9--18
\mathnet{http://mi.mathnet.ru/ps23}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Program Systems: Theory and Applications
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