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This article is cited in 1 scientific paper (total 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.
Citation:
I. V. Grebennikova, A. G. Kremlev, “Iterative procedure of constructing optimal solving in the minimax problem of control for singularly perturbed system with delay with geometric constraints”, Izv. Saratov Univ. Math. Mech. Inform., 16:3 (2016), 272–280
Linking options:
https://www.mathnet.ru/eng/isu645 https://www.mathnet.ru/eng/isu/v16/i3/p272
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