Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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Grebennikova I. V., Kremlev A. G. Iterative Procedure of Constructing Optimal Solving in the Minimax Problem of Control for Singularly Perturbed System with Delay with Geometric Constraints. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2016, vol. 16, iss. 3, pp. 272-280. DOI: 10.18500/1816-9791-2016-16-3-272-280, EDN: WMIIGD

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
14.09.2016
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Language: 
Russian
Heading: 
Mathematics
UDC: 
517.977
DOI: 
10.18500/1816-9791-2016-16-3-272-280
EDN: 
WMIIGD

Iterative Procedure of Constructing Optimal Solving in the Minimax Problem of Control for Singularly Perturbed System with Delay with Geometric Constraints

Autors: 
Grebennikova Irina Vladimirovna, Ural Federal University named after the First President of Russia B. N. Yeltsin
Kremlev Aleksandr Gurievich, Ural Federal University named after the 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. 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
References: 
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Received: 
17.04.2016
Accepted: 
25.08.2016
Published: 
30.09.2016
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