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.
| Mualliflar | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, Ibrokhimjonov, Islombek |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-07-02 |
| Jild | 70 |
| Son | 2 |
| Betlar | 90-101 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-2-11 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-2-11 · Maqolaning asl sahifasi
differential game, integral constraint, pursuer, evader, evasion strategy, pursuit, evasion
| APA | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, & Ibrokhimjonov, Islombek (2026). Evasion differential game of one evader and multiple pursuers with changing energies. O‘zbekiston matematika jurnali, 70(2), 90-101. https://doi.org/10.29229/uzmj.2026-2-11 |
|---|---|
| GOST (OAK) | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, Ibrokhimjonov, Islombek Evasion differential game of one evader and multiple pursuers with changing energies // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 2. – P. 90-101. – DOI: 10.29229/uzmj.2026-2-11. |
| MLA | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, and Ibrokhimjonov, Islombek. “Evasion differential game of one evader and multiple pursuers with changing energies.” O‘zbekiston matematika jurnali, 70(2), 90-101, 2026. https://doi.org/10.29229/uzmj.2026-2-11 |
| Chicago | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, and Ibrokhimjonov, Islombek. “Evasion differential game of one evader and multiple pursuers with changing energies.” O‘zbekiston matematika jurnali, 70(2), 90-101 (2026). https://doi.org/10.29229/uzmj.2026-2-11 |
| Harvard | Ibragimov, Gafurjon, Inomiddinov, Sardorbek, and Ibrokhimjonov, Islombek (2026) ‘Evasion differential game of one evader and multiple pursuers with changing energies’, O‘zbekiston matematika jurnali, 70(2), 90-101. https://doi.org/10.29229/uzmj.2026-2-11 |
| BibTeX | @article{ibragimovgafurjon2026,
title = {Evasion differential game of one evader and multiple pursuers with changing energies},
author = {Ibragimov, Gafurjon and Inomiddinov, Sardorbek and Ibrokhimjonov, Islombek},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {2},
pages = {90-101},
doi = {10.29229/uzmj.2026-2-11},
url = {https://doi.org/10.29229/uzmj.2026-2-11}
} |
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