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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, Volume 16, Issue 3, Pages 272–280
DOI: https://doi.org/10.18500/1816-9791-2016-16-3-272-280
(Mi isu645)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Iterative procedure of constructing optimal solving in the minimax problem of control for singularly perturbed system with delay with geometric constraints

I. V. Grebennikova, A. G. Kremlev

Ural Federal University, 19, Mira st., 620002, Ekaterinburg, Russia
Full-text PDF (186 kB) Citations (1)
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Abstract: The control problem for the singularly perturbed system with delay with indeterminate initial conditions and geometric constraints on the control resources according to the minimax criterion is considered. Iterative procedure of constructing control response that approximates the optimal solution with given accuracy with respect to a small positive parameter is proposed.
Key words: singularly perturbed system with delay, optimal control, fundamental matrix.
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: I. V. Grebennikova, A. G. Kremlev, “Iterative procedure of constructing optimal solving in the minimax problem of control for singularly perturbed system with delay with geometric constraints”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016), 272–280
Citation in format AMSBIB
\Bibitem{GreKre16}
\by I.~V.~Grebennikova, A.~G.~Kremlev
\paper Iterative procedure of constructing optimal solving in the minimax problem of control for singularly perturbed system with delay with geometric constraints
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2016
\vol 16
\issue 3
\pages 272--280
\mathnet{http://mi.mathnet.ru/isu645}
\crossref{https://doi.org/10.18500/1816-9791-2016-16-3-272-280}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3557754}
\elib{https://elibrary.ru/item.asp?id=26702016}
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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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