Gafurjan I. Ibragimov

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We consider pursuit-evasion differential game of countable number inertial players in Hilbert space with integral constraints on the control functions of players. Duration of the game is fixed. The payoff functional is the greatest lower bound of distances between the pursuers and evader when the game is terminated. The pursuers try to minimize the(More)
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(More)
We study a differential game of optimal approach of finite or countable number of pursuers with one evader in the Hilbert space l2. On control functions of the players integral constraints are imposed. Such constraints arise in modeling the constraint on energy. The duration of the game θ is fixed. The payoff functional is the greatest lower bound of(More)
We consider a linear pursuit game of one pursuer and one evader whose motions are described by different-type linear discrete systems. Position of the evader satisfies phase constraints: y∈G, where G is a subset of Rn. We considered two cases: (1) controls of the players satisfy geometric constraints, and (2) controls of the players satisfy total(More)