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

页数：10

共 50 条

[21] Cooperative Differential Game Guidance Law for Two Pursuers and One Evader
Guo, Z. Q.
Zhou, S. L.
Yan, S.
2019 3RD INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE, AUTOMATION AND CONTROL TECHNOLOGIES (AIACT 2019), 2019, 1267
[22] Guaranteed Result for the Differential Game of Two Pursuers and One Evader on a Cylinder
Karapanan, P.
Ibragimov, G.
Alias, I. A.
Hasim, R. M.
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2021, 15 (01): : 61 - 77
[23] Construction of the value function in a pursuit-evasion game with three pursuers and one evader
Pashkov, AG
Sinitsyn, AV
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS, 1995, 59 (06): : 941 - 949
[24] On game value of a differential game problem with Gronwall-type constraints on players control functions
Rilwan, Jewaidu
Fotia, Pasquale
Ferrara, Massimiliano
DECISIONS IN ECONOMICS AND FINANCE, 2023, 46 (01) : 319 - 333
[25] Two-on-One Pursuit when the Pursuers Have the Same Speed as the Evader
Vlassakis, Mark
Pachter, Meir
IFAC PAPERSONLINE, 2020, 53 (02): : 3463 - 3468
[26] Construction the Evasion Strategy in the Differential Game of Many Pursuers and One Evader with Integral Constraints
Salleh, Yusra
Ibragimov, Gafurjan
Rahmanov, Asqar
Khaldjigitov, Abduvali
INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013), 2013, 1557 : 296 - 299
[27] Construction of the value function of a pursuit-evasion differential game with three pursuers and one evader
Prikl Mat Mekh, 6 (985-994):
[28] A DIFFERENTIAL GAME OF APPROACH WITH 2 PURSUERS AND ONE EVADER
PASHKOV, AG
TEREKHOV, SD
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1987, 55 (02) : 303 - 311
[29] Horizontal and Orthogonal Defensive Formations for Two Weak Pursuers and One Evader Game
Zhang, Pengfei
Zhang, Yiqun
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2023, 59 (04) : 4063 - 4075
[30] Two weak pursuers in a game against a single evader
S. S. Kumkov
V. S. Patsko
S. Le Ménec
Automation and Remote Control, 2014, 75 : 1770 - 1789

← 1 2 3 4 5 →