The Structure of the Value Function in Pursuit-Evasion Games on Surfaces of Revolution

被引：1
|
作者：
A. A. Melikyan
机构：
[1] Russian Academy of Sciences,Institute for Problems in Mechanics
来源：
Cybernetics and Systems Analysis | 2002年 / 38卷 / 3期
关键词：
pursuit-evasion games; surface of revolution; family of geodesics; games on hyperboloids; simple motion;
D O I：
10.1023/A:1020372929570
中图分类号：
学科分类号：
摘要：
The paper studies pursuit-evasion games when a game space is a manifold different from a Euclidian space. In this case, there are two or more geodesy lines of equal length that connect players. Games on 2D surfaces are examined. New results for the games on hyperboloids are presented. An important role is played by focal points in a variational problem on geodesic line.
引用
收藏
页码：444 / 452
页数：8
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