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Program Systems: Theory and Applications, 2011, Volume 2, Issue 2, Pages 11–29
(Mi ps30)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/ps30 https://www.mathnet.ru/eng/ps/v2/i2/p11
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Statistics & downloads: |
Abstract page: | 502 | Full-text PDF : | 151 | References: | 63 | First page: | 1 |
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