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

Izv. Saratov Univ. Math. Mech. Inform., 2011 Volume 11, Issue 3(1), Pages 8–15 (Mi isu228)

This article is cited 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

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.

UDC: 517.977

DOI: 10.18500/1816-9791-2011-11-3-1-8-15



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