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.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] Simple Motion Evasion Differential Game of Many Pursuers and One Evader with Integral Constraints on Control Functions of Players
    Ibragimov, Gafurjan
    Salleh, Yusra
    JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [42] Two-Pursuer, One-Evader Pursuit Evasion Differential Game
    Fuchs, Zachariah E.
    Garcia, Eloy
    Casbeer, David W.
    NAECON 2018 - IEEE NATIONAL AEROSPACE AND ELECTRONICS CONFERENCE, 2018, : 457 - 464
  • [43] Two-Step Stackelberg Approach for the Two Weak Pursuers and One Strong Evader Closed-Loop Game
    Zhang, Pengfei
    Zhang, Yiqun
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2024, 69 (02) : 1309 - 1315
  • [44] Optimal Feedback Strategy of a Superior Evader Passing Between Two Pursuers
    Szots, Janos
    Harmati, Istvan
    2020 23RD IEEE INTERNATIONAL SYMPOSIUM ON MEASUREMENT AND CONTROL IN ROBOTICS (ISMCR), 2020,
  • [45] Evasion Differential Game of Multiple Pursuers and a Single Evader with Geometric Constraints in l2
    Ibragimov, Gafurjan
    Ruziboev, Marks
    Zaynabiddinov, Ibroximjon
    Pansera, Bruno Antonio
    GAMES, 2023, 14 (04):
  • [46] Pursuit Differential Game of Many Pursuers with Integral Constraints on Compact Convex Set
    Massimiliano Ferrara
    Gafurjan Ibragimov
    Idham Arif Alias
    Mehdi Salimi
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 2929 - 2950
  • [47] Evasion differential game with many pursuers versus one evader whose control set is a sector
    Ibragimov, Gafurjan
    Alias, Idham Arif
    Mafdzot, Sharifah Anisah Syed
    SCIENCEASIA, 2017, 43 (02): : 115 - 122
  • [48] Pursuit Differential Game of Many Pursuers with Integral Constraints on Compact Convex Set
    Ferrara, Massimiliano
    Ibragimov, Gafurjan
    Alias, Idham Arif
    Salimi, Mehdi
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (04) : 2929 - 2950
  • [49] A Differential Game Problem of Many Pursuers and One Evader in the Hilbert Space l2
    Rilwan, Jewaidu
    Kumam, Poom
    Ibragimov, Gafurjan
    Badakaya, Abbas Ja'afaru
    Ahmed, Idris
    DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2023, 31 (04) : 925 - 943
  • [50] Evasion Differential Game of Multiple Pursuers and One Evader for an Infinite System of Binary Differential Equations
    Ibragimov, Gafurjan
    Kazimirova, Ruzakhon
    Pansera, Bruno Antonio
    MATHEMATICS, 2022, 10 (23)
12345