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

Izv. Saratov Univ. Math. Mech. Inform., 2016 Volume 16, Issue 3, Pages 272–280 (Mi isu645)

This article is cited 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

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.

UDC: 517.977

DOI: 10.18500/1816-9791-2016-16-3-272-280



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