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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 2, Pages 97–104 (Mi timm700)  
This article is cited in 16 scientific papers (total in 17 papers)

Stochastic guide for a time-delay object in a positional differential game

N. N. Krasovskii, A. N. Kotel'nikova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (156 kB) Citations (17)
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Abstract: A positional differential time-optimal game is considered for a conflict-controlled time-delay object. Minimax and maximin feedback controls are constructed within a scheme that includes an intermediate model object described by an ordinary differential equation and a stochastic guide described by the Ito differential equation. The motion of the guide is based on the real-time solution of a sequence of auxiliary boundary value problems for a parabolic equation with degenerate diffusion term.
Keywords: time-delay object, minimax-maximin time of rendezvous, stochastic guide.
Received: 01.02.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2012, Volume 277, Issue 1, Pages 145–151
DOI: https://doi.org/10.1134/S0081543812050148
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: N. N. Krasovskii, A. N. Kotel'nikova, “Stochastic guide for a time-delay object in a positional differential game”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 2, 2011, 97–104; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 145–151
Citation in format AMSBIB
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\paper Stochastic guide for a~time-delay object in a~positional differential game
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\issue 2
\pages 97--104
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\jour Proc. Steklov Inst. Math. (Suppl.)
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\issue , suppl. 1
\pages 145--151
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    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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