On linear differential games with integral constraints

被引：0

作者：

Chikrii, A. A. ^{[1
,2
]}

Belousov, A. A. ^{[2
]}

机构：

[1] NAS Ukraine, Phys Mat Sci, Kiev, Ukraine

[2] NAS Ukraine, Inst Cybernet, Kiev, Ukraine

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2009年 / 15卷 / 04期

关键词：

differential game; pursuit game; integral constraint; set-valued mapping; resolving function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Pursuit game problems for linear systems with integral constraints for controls are studied. The proposed scheme uses the ideas of the method of resolving functions. An analog of the Pontryagin condition is formulated, which makes it possible to establish sufficient conditions for the termination of the differential game in some guaranteed time by using the measurable choice theorem for constructing the pursuer's control. The obtained results are illustrated by typical examples of game situations: simple motion and Pontryagin's test case.

引用

页码：290 / 301

页数：12