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Sbornik: Mathematics, 2021, Volume 212, Issue 9, Pages 1228–1260
DOI: https://doi.org/10.1070/SM9496 (Mi sm9496) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Two game-theoretic problems of approach

A. A. Ershov, A. V. Ushakov, V. N. Ushakov

N. N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
English version PDF (850 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9496
Abstract: A nonlinear conflict control system in a finite-dimensional Euclidean space on a finite time interval is considered. Two interrelated game-theoretic problems of making a system approach a compact set at a fixed moment of time are studied. A method for constructing approximate solutions to game problems of approach is presented. Most attention is paid to problems related to constructing approximations of the solvability sets of game problems in the phase space.
Bibliography: 35 titles.
Keywords: control system, target set, game-theoretic problem of approach, differential inclusion, solvability set.
Funding agency Grant number
Russian Science Foundation 19-11-00105
This work was supported by the Russian Science Foundation (project no. 19-11-00105).
Received: 25.08.2020 and 30.11.2020
Bibliographic databases:
Document Type: Article
UDC: 517.978.2+517.977.58
MSC: Primary 49N70, 91A23; Secondary 93C10
Language: English
Original paper language: Russian
Citation: A. A. Ershov, A. V. Ushakov, V. N. Ushakov, “Two game-theoretic problems of approach”, Sb. Math., 212:9 (2021), 1228–1260
Citation in format AMSBIB
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\vol 212
\issue 9
\pages 1228--1260
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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