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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 2, Pages 38–47 (Mi timm806)  
This article is cited in 4 scientific papers (total in 4 papers)

Error estimate for approximations of an optimal stabilizing control in a delay system

D. S. Bykova, Yu. F. Dolgiiab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
Full-text PDF (181 kB) Citations (4)
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Abstract: The method of averaging approximations is used for solving the problem of optimal stabilization of a delay system of differential equations. The exact solution is approximated by solutions of optimal stabilization problems for systems of ordinary differential equations. The rate of convergence of approximating controls to an optimal control is found.
Keywords: delay differential equations, optimal stabilization, functional state space, finite-dimensional approximations.
Received: 28.11.2011
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: D. S. Bykov, Yu. F. Dolgii, “Error estimate for approximations of an optimal stabilizing control in a delay system”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 2, 2012, 38–47
Citation in format AMSBIB
\Bibitem{BykDol12}
\by D.~S.~Bykov, Yu.~F.~Dolgii
\paper Error estimate for approximations of an optimal stabilizing control in a~delay system
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 2
\pages 38--47
\mathnet{http://mi.mathnet.ru/timm806}
\elib{https://elibrary.ru/item.asp?id=17736184}
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  • https://www.mathnet.ru/eng/timm/v18/i2/p38
    • 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
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