A simple pursuit-evasion problem on a ball of a Riemannian manifold

被引：4

作者：

Kuchkarov, A. Sh.

机构：

[1] Institute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, Uzbekistan

来源：

MATHEMATICAL NOTES | 2009年 / 85卷 / 1-2期

关键词：

pursuit-evasion problem; simple pursuit and evasion; Riemannian manifold; geodesic line; Borel measure; pursuit completion; strong local convexity; admissible strategy;

D O I：

10.1134/S0001434609010222

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Apursuit-evasion differential game with simple motions, in which points (players) move on a ball of a Riemannian manifold, is studied. It is assumed that all players have the same dynamic capabilities, pursuers move on the entire ball, and evaders move either on the sphere bounding the ball or on the entire ball, depending on the version of the game. Sufficient solvability conditions are found. An example is given.

引用

页码：190 / 197

页数：8

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