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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, Volume 15, Issue 2, Pages 142–151
DOI: https://doi.org/10.18500/1816-9791-2015-15-2-142-151 (Mi isu575) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Approximation 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
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DOI: https://doi.org/10.18500/1816-9791-2015-15-2-142-151
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. A limiting problem is formulated for which a specially selected quality functional is chosen. We propose the procedure for initial approximation construction of a control response in the control minimax problem.
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, “Approximation of control for singularly perturbed system with delay with geometric constraints”, Izv. Saratov Univ. Math. Mech. Inform., 15:2 (2015), 142–151
Citation in format AMSBIB
\Bibitem{GreKre15}
\by I.~V.~Grebennikova, A.~G.~Kremlev
\paper Approximation of control for singularly perturbed system with delay with geometric constraints
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2015
\vol 15
\issue 2
\pages 142--151
\mathnet{http://mi.mathnet.ru/isu575}
\crossref{https://doi.org/10.18500/1816-9791-2015-15-2-142-151}
\elib{https://elibrary.ru/item.asp?id=23647130}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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