Pursuit game problem of an infinite system of differential equations with geometric and 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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We study pursuit and evasion differential game problems described by infinite number of firstorder differential equations with function coefficients in Hilbert space l2. Problems involving integral, geometric, and mix constraints to the control functions of the players are considered. In each case, we give sufficient conditions for completion of pursuit and for which evasion is possible. Conseq...
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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: Journal of Physics: Conference Series
سال: 2018
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/1132/1/012054