文章基本信息

标题：On the value of differential game with asymmetric control constraints
本地全文：下载
作者：Vladimir Turetsky ; Shmuel Y. Hayoun ; Tal Shima 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2018
卷号：51
期号：32
页码：799-804
DOI：10.1016/j.ifacol.2018.11.463
语种：English
出版社：Elsevier
摘要：AbstractA differential game with asymmetric constraints on the players’ controls and an asymmetric cost functional is considered. In this game hard geometric constraints are imposed on the maximizer, whereas the minimizer is soft-constrained by including the control effort term into the cost functional. The sufficient condition is derived, subject to which the program maximin is the game value. In the proof, it is shown that the program maximin is the generalized solution of the Hamilton-Jacobi-Bellman partial differential equation. Examples are presented.
关键词：Keywordsdifferential gamegame valueprogram maximinIsaacs equation