O‘zbekiston matematika jurnali 70-jild 2-son (2026) · 90-101-betlar
Evasion differential game of one evader and multiple pursuers with changing energies
Ibragimov, Gafurjon, Inomiddinov, Sardorbek, Ibrokhimjonov, Islombek
Annotatsiya
In this paper, we study a simple motion evasion differential game of multiple pursuers andone evader. The control functions of the players are subject to integral constraints, where the energies of theplayers change linearly. If the state of the evader does not coincide with those of the pursuers forever, we saythat evasion is possible in the game. We prove a theorem about evasion and construct a strategy for the evaderthat guarantees evasion in the game.
differential game, integral constraint, pursuer, evader, evasion strategy, pursuit, evasion
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