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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 2, Pages 87–101 (Mi timm1173)  
This article is cited in 8 scientific papers (total in 8 papers)

On a minimax control problem for a positional functional under geometric and integral constraints on control actions

D. V. Kornevab, N. Yu. Lukoyanovab

a Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Full-text PDF (254 kB) Citations (8)
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Abstract: Within the game-theoretical approach we consider a minimax feedback control problem for a linear dynamical system with a positional quality index in the form of the norm of motion deviations at given times from given target points. Control actions are subject to both geometric and integral constraints. A procedure for the approximate calculation of the optimal guaranteed result and for the construction of a control law that ensures the result is developed. The procedure is based on the recursive construction of upper convex hulls of auxiliary program functions. Results of numerical simulations are presented.
Keywords: minimax control, differential games, integral constraints, nonterminal payoff.
Received: 01.02.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 293, Issue 1, Pages 85–100
DOI: https://doi.org/10.1134/S0081543816050096
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: D. V. Kornev, N. Yu. Lukoyanov, “On a minimax control problem for a positional functional under geometric and integral constraints on control actions”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 2, 2015, 87–101; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 85–100
Citation in format AMSBIB
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\jour Proc. Steklov Inst. Math. (Suppl.)
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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