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 $m$.
| Mualliflar | Ibragimov , G.I., Tursunaliev , T.G. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 113-127 |
| Til | Ingliz |
| DOI | 10.29229/uzmj.2025-4-12 |
DOI: 10.29229/uzmj.2025-4-12 · Maqolaning asl sahifasi
Differential game, evasion, control function, exponential integral constraints, evasion strategy, evader, multiple pursuers.
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