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Program Systems: Theory and Applications, 2011, Volume 2, Issue 2, Pages 11–29 (Mi ps30)  

This article is cited in 4 scientific papers (total in 4 papers)

Optimization Methods and Control Theory

Evolution and prospects of approximate methods of optimal control

V. I. Gurmana, I. V. Rasinab, A. O. Blinova

a The Aylamazyan Program Systems Institute of~RAS, Pereslavl'-Zalesskii, Yaroslavskaya obl.
b Siberian Academy of Law, Economics and Management
Full-text PDF (685 kB) Citations (4)
References:
Abstract: The article gives a brief overview of approximate methods of optimal control and the ideas underlying them. Material is presented in terms of optimization and improvement control problems in the standard form for discrete and continuous control systems. The first and second orders methods and the improvement of complex processes are considered. The algorithms based on a study of reachable sets and multidimensional approximations are described. An extensive bibliography containing the main obtains theoretical and applied results, that enables developers of new methods to assess the state of arts in this area. Possible directions of further development of approximate methods of optimal control in accordance with progress in the field of high-performance computing are indicated.
Key words and phrases: optimization, optimal control, improvement, approximate methods.
Received: 19.03.2011
Accepted: 21.04.2011
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. I. Gurman, I. V. Rasina, A. O. Blinov, “Evolution and prospects of approximate methods of optimal control”, Program Systems: Theory and Applications, 2:2 (2011), 11–29
Citation in format AMSBIB
\Bibitem{GurRasBli11}
\by V.~I.~Gurman, I.~V.~Rasina, A.~O.~Blinov
\paper Evolution and prospects of approximate methods of optimal control
\jour Program Systems: Theory and Applications
\yr 2011
\vol 2
\issue 2
\pages 11--29
\mathnet{http://mi.mathnet.ru/ps30}
\elib{https://elibrary.ru/item.asp?id=16397028}
Linking options:
  • https://www.mathnet.ru/eng/ps30
  • https://www.mathnet.ru/eng/ps/v2/i2/p11
  • This publication is cited in the following 4 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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    Abstract page:502
    Full-text PDF :151
    References:63
    First page:1
     
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