Solution of a linear pursuit-evasion game with integral constraints
نویسندگان
چکیده
منابع مشابه
Fixed Duration Pursuit-Evasion Differential Game with Integral Constraints
We investigate a pursuit-evasion differential game of countably many pursuers and one evader. Integral constraints are imposed on control functions of the players. Duration of the game is fixed and the payoff of the game is infimum of the distances between the evader and pursuers when the game is completed. Purpose of the pursuers is to minimize the payoff and that of the evader is to maximize ...
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In a pursuit evasion game, the pursuer tries to capture the evader while the evader tries to prevent this capture. A classical approach is to model this game as an infinite differential game. In this report, we model a pursuit-evasion game as a finite extensive form game, and show that the differential game is a generalization of this game. We prove that a pure-strategy Nash equilibrium always ...
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and Applied Analysis 3 Table 1: Brief summary of obtained results. Author s Number of pursuers Number of evaders The set where the pursuit occurs Constraint on controls Satimov et al. 1983 10 m 1 R Integral Ibragimov 2004 15 m k R Integral Ivanov 1980 17 m 1 Closed convex subsetN of R Geometric Ibragimov 2002 16 1 1 Closed convex subsetN of R Integral Leong and Ibragimov 2008 14 m 1 Closed conv...
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ژورنال
عنوان ژورنال: ANZIAM Journal
سال: 2011
ISSN: 1445-8810
DOI: 10.21914/anziamj.v52i0.3605