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This article is cited in 4 scientific papers (total in 4 papers)
Collective Pursuit with Integral Constraints on the Controls of Players
G. I. Ibragimov University of World Economy and Diplomacy of the Ministry of Foreign Affairs of the Republic of Uzbekistan
Abstract:
Under consideration is a linear differential game of several persons with integral constraints on the controls of the players. Pursuit terminates if a solution to at least one of the equations describing the differential game hits the origin at some instant of time. We establish a necessary and sufficient condition of terminating pursuit from all points of the space in the case of a single pursuer and a sufficient condition in the case of many pursuers.
Key words:
game, strategy, pursuit.
Received: 30.11.2001
Citation:
G. I. Ibragimov, “Collective Pursuit with Integral Constraints on the Controls of Players”, Mat. Tr., 6:2 (2003), 66–79; Siberian Adv. Math., 14:2 (2004), 14–26
Linking options:
https://www.mathnet.ru/eng/mt92 https://www.mathnet.ru/eng/mt/v6/i2/p66
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Abstract page: | 353 | Full-text PDF : | 130 | References: | 40 | First page: | 1 |
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