Game-based Control Systems: A Semi-tensor Product Formulation

被引:0
作者
Cheng, Daizhan [1 ]
Zhao, Yin [1 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China
来源
2012 12TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS & VISION (ICARCV) | 2012年
关键词
Dynamic game; payoff function; semi-tensor product; optimal control; Nash equilibrium;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A class of control systems, which are emerged from dynamic games, are considered. Using semi-tensor product of matrices, the set of strategies can be described as a set of matrices. Then the dynamics of such systems can be converted from logical type dynamics into standard discrete-time dynamic systems. Hence, the classical techniques for control systems are applicable to such systems. Semi-tensor product formulation of such systems is investigated. Some related optimal control problems are also investigated.
引用
收藏
页码:1691 / 1695
页数:5
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