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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 3(1), Pages 8–15
DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-8-15 (Mi isu228) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On iterative method of constructing optimal control for singularly perturbed systems with delay with quadratic constraints

I. V. Grebennikova, A. G. Kremlev

Ural Federal University, Ekaterinburg, Chair of Applied Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2011-11-3-1-8-15
Abstract: The control problem for the singularly perturbed system with delay with indeterminate initial conditions and integral quadratic 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.
Document Type: Article
UDC: 517.977
Language: Russian
Citation: I. V. Grebennikova, A. G. Kremlev, “On iterative method of constructing optimal control for singularly perturbed systems with delay with quadratic constraints”, Izv. Saratov Univ. Math. Mech. Inform., 11:3(1) (2011), 8–15
Citation in format AMSBIB
\Bibitem{GreKre11}
\by I.~V.~Grebennikova, A.~G.~Kremlev
\paper On iterative method of constructing optimal control for singularly perturbed systems with delay with quadratic constraints
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 3(1)
\pages 8--15
\mathnet{http://mi.mathnet.ru/isu228}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-3-1-8-15}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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