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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 12, Pages 2166–2177 (Mi zvmmf364)  
This article is cited in 20 scientific papers (total in 20 papers)

Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case

A. R. Danilin

Institute of Mathematics and Mechanics, Ural Division, Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia
Full-text PDF (1041 kB) Citations (20)
Abstract: The optimal control problem for a linear system with fast and slow variables in the form of indirect control with a convex terminal cost functional and a smooth geometric constraint on the control is studied. An asymptotic expansion of the cost functional up to any power of a small parameter is constructed.
Key words: optimal control, terminal cost functional, smooth geometric constraints, small parameter, singular perturbation, asymptotic expansion.
Received: 19.06.2006
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 12, Pages 2068–2079
DOI: https://doi.org/10.1134/S0965542506120062
Bibliographic databases:
Document Type: Article
UDC: 519.626.2
Language: Russian
Citation: A. R. Danilin, “Asymptotic behavior of the optimal cost functional for a rapidly stabilizing indirect control in the singular case”, Zh. Vychisl. Mat. Mat. Fiz., 46:12 (2006), 2166–2177; Comput. Math. Math. Phys., 46:12 (2006), 2068–2079
Citation in format AMSBIB
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\by A.~R.~Danilin
\paper Asymptotic behavior of the optimal cost functional for a~rapidly stabilizing indirect control in the singular case
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 12
\pages 2166--2177
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2344963}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 12
\pages 2068--2079
\crossref{https://doi.org/10.1134/S0965542506120062}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846136069}
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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