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Avtomatika i Telemekhanika, 2007, Issue 6, Pages 45–50 (Mi at1000)  
This article is cited in 3 scientific papers (total in 3 papers)

Deterministic Systems

The problem of optimal approach in locally Euclidean spaces

A. Sh. Kuchkarov

Romanovskii Institute of Mathematics, Tashkent, Uzbekistan
Full-text PDF (159 kB) Citations (3)
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Abstract: A differential game of optimal approach with simple motions when players move in locally Euclidean spaces is studied. The game-end moment is fixed, and the game payment is a distance between the pursuer and the evader at the game-end moment. The value of game is obtained in the explicit form for any initial positions of players. Moreover, the differential game of optimal approach for the denumerable number of pursuers and one evader in the Euclidean space is solved. All pursuers are controlled by one parameter.
Presented by the member of Editorial Board: A. P. Kurdyukov

Received: 07.12.2006
English version:
Automation and Remote Control, 2007, Volume 68, Issue 6, Pages 974–978
DOI: https://doi.org/10.1134/S0005117907060057
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy
Language: Russian
Citation: A. Sh. Kuchkarov, “The problem of optimal approach in locally Euclidean spaces”, Avtomat. i Telemekh., 2007, no. 6, 45–50; Autom. Remote Control, 68:6 (2007), 974–978
Citation in format AMSBIB
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\by A.~Sh.~Kuchkarov
\paper The problem of optimal approach in locally Euclidean spaces
\jour Avtomat. i Telemekh.
\yr 2007
\issue 6
\pages 45--50
\mathnet{http://mi.mathnet.ru/at1000}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2352078}
\zmath{https://zbmath.org/?q=an:1142.49018}
\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 6
\pages 974--978
\crossref{https://doi.org/10.1134/S0005117907060057}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547254561}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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