Single-type differential games with convex integral payoff

被引：0
作者：
V. I. Ukhobotov
D. V. Gushchin
机构：
[1] Chelyabinsk State University,
来源：
Proceedings of the Steklov Institute of Mathematics | 2011年 / 275卷
关键词：
differential game; strategy; payoff;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Single-type differential games are considered. The problem of taking a phase point to a disk of a fixed radius at a given time is studied. The payoff is the integral of a convex function depending on the norm of the first player’s control.
引用
收藏
页码：178 / 185
页数：7
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    [J]. MATHEMATICAL NOTES, 1999, 66 (5-6) : 675 - 693
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