Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications (vol 7, pg 609, 2017)

被引：0

作者：

Kumkov, Sergey S. ^{[1
,2
]}

Le Menec, Stephane ^{[3
]}

Patsko, Valerii S. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Krasovskii Inst Math & Mech, Ural Branch, S Kovalevskaya Str 16, Ekaterinburg 620990, Russia

[2] Ural Fed Univ, Inst Math & Comp Sci, S Kovalevskaya Str 16, Ekaterinburg 620990, Russia

[3] Airbus Grp MBDA France, 1 Ave Reaumur, F-92358 Le Plessis Robinson, France

来源：

DYNAMIC GAMES AND APPLICATIONS | 2017年 / 7卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Conflict interacting groups of objects; Constant-bearing method; Differential games; Group pursuit problems; Maximal stable sets;

D O I：

10.1007/s13235-016-0210-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a pursuit game with many persons can be formalized in the framework of zero-sum differential games, then general methods can be applied to solve it. But difficulties arise connected with very high dimension of the phase vector when there are too many objects. Just due to this problem, special formulations and methods have been elaborated for conflict interaction of groups of objects. This paper is a survey of publications and results on group pursuit games.

引用

页码：634 / 634

页数：1

共 6 条

[1] Zero-Sum Pursuit-Evasion Differential Games with Many Objects: Survey of Publications
Sergey S. Kumkov
Stéphane Le Ménec
Valerii S. Patsko
Dynamic Games and Applications, 2017, 7 : 609 - 633
[2] Maneuver Planning for Multiple Pursuit Intelligent Surface Vehicles in a Sequence of Zero-Sum Pursuit-Evasion Games
Hong, Le
Cui, Weicheng
Chen, Hao
Song, Changhui
Li, Weikun
JOURNAL OF MARINE SCIENCE AND ENGINEERING, 2024, 12 (07)
[3] A numerical method based on the complementarity and optimal control formulations for solving a family of zero-sum pursuit-evasion differential games
Yazdaniyan, Z.
Shamsi, M.
Foroozandeh, Z.
de Pinho, Maria do Rosario
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 368
[4] Survey on spacecraft orbital pursuit-evasion differential games
Luo Y.
Li Z.
Zhu H.
Zhongguo Kexue Jishu Kexue/Scientia Sinica Technologica, 2020, 50 (12): : 1533 - 1545
[5] Minmax fuzzy deterministic policy gradient for zero-sum differential game: Take pursuit-evasion problem as example
Liao, Wei
Wei, Xiaohui
Lai, Jizhou
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (01) : 1069 - 1082
[6] Fixed-Time Zero-Sum Pursuit-Evasion Game Control of Multisatellite via Adaptive Dynamic Programming
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Zhang, Kun
Xie, Xiangpeng
Sun, Jiayue
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 2024, 60 (02) : 2224 - 2235

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