Uncertain pursuit-evasion game

被引:9
|
作者
Feng, Yanghe [1 ]
Dai, Lanruo [2 ]
Gao, Jinwu [2 ]
Cheng, Guangquan [1 ]
机构
[1] Natl Univ Def Technol, Coll Syst Engn, Changsha 410073, Peoples R China
[2] Renmin Univ China, Sch Math, Uncertain Syst Lab, Beijing 100872, Peoples R China
基金
中国国家自然科学基金;
关键词
Uncertain differential equation; Differential game; Pursuit-evasion game; Riccati equation; Target interception problem; DIFFERENTIAL-GAMES;
D O I
10.1007/s00500-018-03689-3
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Pursuit-evasion game deals with the situation in which a pursuer tries to catch an evader. Taking into account the subjectivity of the players' strategies and the fact that the noise of system state does not obey the statistical regularity, this paper employs an uncertain differential equation to describe the dynamics of the pursuit-evasion system, and introduces an uncertain pursuit-evasion game. Within the framework of uncertain differential game theory, a solution for the uncertain pursuit-evasion game is derived via the corresponding Riccati equation. At last, as an application, a target interception problem is proposed.
引用
收藏
页码:2425 / 2429
页数:5
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