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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 262, Pages 8–15 (Mi tm761)  
Geometric Properties of Successful Solvability Sets in Pursuit Game Problems

Yu. V. Averboukh

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: This paper is devoted to the study of the properties of solutions to pursuit–evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous time dependence of sections.
Received in March 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 262, Pages 2–9
DOI: https://doi.org/10.1134/S0081543808030024
Bibliographic databases:
UDC: 517.977
Language: Russian
Citation: Yu. V. Averboukh, “Geometric Properties of Successful Solvability Sets in Pursuit Game Problems”, Optimal control, Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday, Trudy Mat. Inst. Steklova, 262, MAIK Nauka/Interperiodica, Moscow, 2008, 8–15; Proc. Steklov Inst. Math., 262 (2008), 2–9
Citation in format AMSBIB
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\paper Geometric Properties of Successful Solvability Sets in Pursuit Game Problems
\inbook Optimal control
\bookinfo Collected papers. Dedicated to professor Viktor Ivanovich Blagodatskikh on the occation of his 60th birthday
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\pages 8--15
\publ MAIK Nauka/Interperiodica
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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