O‘zbekiston matematika jurnali Volume 69 Issue 4 (2025) · pp. 113-127
Differential game of one evader and multiple pursuers with exponential integral constraints
Ibragimov, G.I., Tursunaliev, T.G.
Abstract
We analyze an evasion differential game involving one evader and multiple pursuers in $\R^n$. The control functions of the players are subject to exponential integral constraints to ensure bounded energy consumption. Evasion is considered possible if, for any time $t$, the position of the evader differs from the positions of all the pursuers. In this work, we establish a sufficient condition for the possibility of evasion. We construct an admissible evasion strategy and demonstrate that, for any number of pursuers $m$, evasion is possible. Additionally, we show that the number of maneuvers required for evasion does not exceed $m$.
Differential gameevasioncontrol functionexponential integral constraintsevasion strategyevadermultiple pursuers
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