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Sbornik: Mathematics, 2001, Volume 192, Issue 10, Pages 1515–1542
DOI: https://doi.org/10.1070/SM2001v192n10ABEH000604 (Mi sm604) 		 
This article is cited in 36 scientific papers (total in 37 papers)

An algorithm for the numerical solution of linear differential games

E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev

Moscow Institute of Physics and Technology
English version PDF (295 kB) Citations (37)
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DOI: https://doi.org/10.1070/SM2001v192n10ABEH000604
Abstract: A numerical algorithm for the construction of stable Krasovskii bridges, Pontryagin alternating sets, and also of piecewise program strategies solving two-person linear differential (pursuit or evasion) games on a fixed time interval is developed on the basis of a general theory. The aim of the first player (the pursuer) is to hit a prescribed target (terminal) set by the phase vector of the control system at the prescribed time. The aim of the second player (the evader) is the opposite. A description of numerical algorithms used in the solution of differential games of the type under consideration is presented and estimates of the errors resulting from the approximation of the game sets by polyhedra are presented.
Received: 19.01.2001
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 10, Pages 95–122
DOI: https://doi.org/10.4213/sm604
Bibliographic databases:
UDC: 517.977.8
MSC: Primary 49N75, 90C05, 93C15; Secondary 93C55
Language: English
Original paper language: Russian
Citation: E. S. Polovinkin, G. E. Ivanov, M. V. Balashov, R. V. Konstantinov, A. V. Khorev, “An algorithm for the numerical solution of linear differential games”, Mat. Sb., 192:10 (2001), 95–122; Sb. Math., 192:10 (2001), 1515–1542
Citation in format AMSBIB
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    • This publication is cited in the following 37 articles:
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