Some Sufficient Conditions for Multi-Player Pursuit-Evasion Games with Continuous and Discrete Observations

被引：25

作者：

Stipanovic, Dusan M. ^{[1
,2
]}

Melikyan, Arik ^{[3
]}

Hovakimyan, Naira ^{[4
]}

机构：

[1] Univ Illinois, Dept Ind & Enterprise Syst Engn, Urbana, IL 61801 USA

[2] Univ Illinois, Coordinated Sci Lab, Urbana, IL 61801 USA

[3] Russian Acad Sci, Inst Problems Mech, Moscow, Russia

[4] Virginia Polytech Inst & State Univ, Dept Aerosp & Ocean Engn, Blacksburg, VA USA

来源：

ADVANCES IN DYNAMIC GAMES AND THEIR APPLICATIONS: ANALYTICAL AND NUMERICAL DEVELOPMENTS | 2009年 / 10卷

关键词：

Pursuit and evasion games; Liapunov stability; differential games; DIFFERENTIAL GAME;

D O I：

10.1007/978-0-8176-4834-3_8

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

For a pursuit-evasion game with two pursuers and two evaders we introduce classes of functions that represent upper and lower approximations of the min function. Using these functions and a Liapunov type of analysis we formulate several sufficient conditions for the guaranteed capture and evasion for the cases with continuous and discrete observation times for the players. Both pursuers and evaders are modeled as nonlinear systems that are affine functions with respect to their control inputs.

引用

页码：133 / +

页数：4

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