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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 277, Pages 275–287 (Mi tm3388)  
This article is cited in 4 scientific papers (total in 4 papers)

Differential games with fixed terminal time and estimation of the instability degree of sets in these games

V. N. Ushakov, P. D. Lebedev, A. R. Matviychuk, A. G. Malev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, Russia
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Abstract: This paper contributes to the theory of differential games. A game problem of bringing a conflict-controlled system to a compact target set is analyzed. Sets in the position space that terminate on the target set and are not stable bridges are considered. The notion of stability defect of these sets is examined. It is demonstrated how the notion of stability defect can be used to construct sets with relatively good geometry that are at the same time convenient for the first player to play the game successfully.
Received in January 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 277, Pages 266–277
DOI: https://doi.org/10.1134/S0081543812040190
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. N. Ushakov, P. D. Lebedev, A. R. Matviychuk, A. G. Malev, “Differential games with fixed terminal time and estimation of the instability degree of sets in these games”, Mathematical control theory and differential equations, Collected papers. In commemoration of the 90th anniversary of Academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 277, MAIK Nauka/Interperiodica, Moscow, 2012, 275–287; Proc. Steklov Inst. Math., 277 (2012), 266–277
Citation in format AMSBIB
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\paper Differential games with fixed terminal time and estimation of the instability degree of sets in these games
\inbook Mathematical control theory and differential equations
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Evgenii Frolovich Mishchenko
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 277
\pages 275--287
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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