Differential game of one evader and multiple pursuers with exponential integral constraints

Ibragimov , G.I., Tursunaliev , T.G.

O‘zbekiston matematika jurnali · 2025-yil

Annotatsiya

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 $m$.

Maqola ma’lumotlari
MualliflarIbragimov , G.I., Tursunaliev , T.G.
JurnalO‘zbekiston matematika jurnali
NashriyotЎзбекистон Республикаси ФА Математика институти
ISSN2010-7269
Nashr sanasi2025-11-03
Jild69
Son4
Betlar113-127
TilIngliz
Ilmiy sohaFizika-matematika
DOI10.29229/uzmj.2025-4-12
Indeksga qo‘shilgan2026-08-26

DOI: 10.29229/uzmj.2025-4-12 · Maqolaning asl sahifasi

Kalit so‘zlar

Differential game, evasion, control function, exponential integral constraints, evasion strategy, evader, multiple pursuers.

Ilmiy soha

Fizika-matematika

Iqtibos keltirish

APAIbragimov , G.I., & Tursunaliev , T.G. (2025). Differential game of one evader and multiple pursuers with exponential integral constraints. O‘zbekiston matematika jurnali, 69(4), 113-127. https://doi.org/10.29229/uzmj.2025-4-12
GOST (OAK)Ibragimov , G.I., Tursunaliev , T.G. Differential game of one evader and multiple pursuers with exponential integral constraints // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 113-127. – DOI: 10.29229/uzmj.2025-4-12.
MLAIbragimov , G.I., and Tursunaliev , T.G. “Differential game of one evader and multiple pursuers with exponential integral constraints.” O‘zbekiston matematika jurnali, 69(4), 113-127, 2025. https://doi.org/10.29229/uzmj.2025-4-12
ChicagoIbragimov , G.I., and Tursunaliev , T.G. “Differential game of one evader and multiple pursuers with exponential integral constraints.” O‘zbekiston matematika jurnali, 69(4), 113-127 (2025). https://doi.org/10.29229/uzmj.2025-4-12
HarvardIbragimov , G.I., and Tursunaliev , T.G (2025) ‘Differential game of one evader and multiple pursuers with exponential integral constraints’, O‘zbekiston matematika jurnali, 69(4), 113-127. https://doi.org/10.29229/uzmj.2025-4-12
BibTeX
@article{ibragimovgi2025,
  title = {Differential game of one evader and multiple pursuers with exponential integral constraints},
  author = {Ibragimov , G.I. and Tursunaliev , T.G.},
  journal = {O‘zbekiston matematika jurnali},
  year = {2025},
  volume = {69},
  number = {4},
  pages = {113-127},
  doi = {10.29229/uzmj.2025-4-12},
  url = {https://doi.org/10.29229/uzmj.2025-4-12}
}

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