LINEAR-QUADRATIC ZERO-SUM DIFFERENTIAL-GAMES FOR GENERALIZED STATE-SPACE SYSTEMS

被引：22
|
作者：
XU, H
MIZUKAMI, K
机构：
[1] Faculty of Integrated Arts and Sciences, University of Hiroshima, Higashi-Hiroshima
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 01期
关键词：
D O I：
10.1109/9.273352
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this note, we consider linear-quadratic zero-sum differential games for generalized state space systems. It is well known that a unique linear feedback saddle-point solution can exist in the game of state space systems. However, for the generalized state space system, we show that the game admits uncountably many linear feedback saddle-point solutions. Sufficient conditions for the existence of linear feedback saddle-point solutions are found. A constructive method is given to find these linear feedback Saddle point solutions. A simple example is included to illustrate the nonuniqueness of the linear feedback saddle-point solutions.
引用
收藏
页码：143 / 147
页数：5
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