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JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2009 Volume 9, Issue 3, Pages 14–22 (Mi isu54)

This article is cited in 4 papers

Mathematics

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

I. V. Grebennikova

Ural State University, Ekaterinburg, Chair of applied mathematics

Abstract: The control problem for the singularly perturbed system with delay according to the minimax criterion is considered. Iterative procedure of constructing control response that approximates the optimal solutionwith given accuracywith respect to a small positive parameter is proposed.

Key words: singularly perturbed system with delay, optimal control, fundamental matrix.

UDC: 517.977

DOI: 10.18500/1816-9791-2009-9-3-14-22



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