Optimal Pursuit Game of Two Pursuers and One Evader with the Gronwall-Type Constraints on Controls

被引：1
|
作者：
Ibragimov, Gafurjan [1 ]
Yusupov, Ikrombek [2 ]
Ferrara, Massimiliano [3 ,4 ,5 ]
机构：
[1] Univ Digital Econ & Agrotechnol, Tashkent 100022, Uzbekistan
[2] Andijan State Univ, Dept Math, Andijan 170100, Uzbekistan
[3] Univ Mediterranea Reggio Calabria, Dept Law Econ & Human Sci, I-89125 Reggio Di Calabria, Italy
[4] Univ Mediterranea Reggio Calabria, Decis Lab, I-89125 Reggio Di Calabria, Italy
[5] Bocconi Univ, ICRIOS Invernizzi Ctr Res Innovat Org Strategy & E, Dept Management & Technol, I-20136 Milan, Italy
来源：
MATHEMATICS | 2023年 / 11卷 / 02期
关键词：
differential game; Gronwall constraints; pursuers; evader; optimal pursuit time; optimal strategy; DIFFERENTIAL GAME; EVASION GAMES;
D O I：
10.3390/math11020374
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We studied a simple motion differential game of two pursuers and one evader in R-2. The control functions of players are subjected to the Gronwall-type constraints. If the state of the evader coincides with the state of a pursuer, then the game is considered complete. The pursuers attempt to complete the game as earlier as possible. The evader attempts to avoid being captured or delays the capture time. We found an equation for the optimal pursuit time and construct the optimal strategies of players.
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页数：10
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