To the iterative method of constructing optimal control of a singularly perturbed system with delay with geometric constraints

I. V. Grebennikova

Ural Federal University named after first President of Russia B.N. Yeltsin

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. Procedure of constructing control response that approximates the optimal solution with given accuracy with respect to a small positive parameter is proposed.

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

UDC: 517.977

Received: 21.03.2018

DOI: 10.20310/1810-0198-2018-23-122-285-291

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