A Pursuit Problem Described by Infinite System of Differential Equations with Coordinate-Wise Integral Constraints on Control Functions

被引：0
|
作者：
Ibragimov, Gafurjan [1 ,3 ]
Tukhtasinov, Muminjon [2 ]
Hasim, Risman Mat [3 ]
Alias, Idham Arif [1 ,3 ]
机构：
[1] Univ Putra Malaysia, Inst Math Res, Upm Serdang 43400, Selangor, Malaysia
[2] Natl Univ Uzbekistan, Tashkent 1000174, Uzbekistan
[3] Univ Putra Malaysia, Dept Math, Fac Sci, Upm Serdang 43400, Selangor, Malaysia
来源：
MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES | 2015年 / 9卷 / 01期
关键词：
Differential game; Hilbert space; infinite system; pursuit; evasion; strategy;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a pursuit differential game of one pursuer and one evader described by infinite system of first order differential equations. The coordinate-wise integral constraints are imposed on control functions of players. By definition pursuit is said to be completed if the state of system equals zero at some time. A sufficient condition of completion of pursuit is obtained. Strategy for the pursuer is constructed and an explicit formula for the guaranteed pursuit time is given.
引用
收藏
页码：67 / 76
页数：10
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