Local uniqueness for Nash solutions of multiparameter singularly perturbed systems

被引：8
|
作者：
Mukaidani, Hiroaki [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Educ, Hiroshima 7398530, Japan
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2006年 / 53卷 / 10期
关键词：
cross-coupled algebraic Riccati equation (CARE); general multiparameter singularly perturbed systems (GMSPS); local uniqueness; Nash games; parameter-independent Nash strategy;
D O I：
10.1109/TCSII.2006.882211
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this brief, linear quadratic infinite-horizon Nash games for general multiparameter singularly perturbed systems are studied. The local uniqueness and the asymptotic structure of the solutions to the cross-coupled multiparameter algebraic Riccati equation (CMARE) are newly established. Utilizing the asymptotic structure of the solutions to the CMARE, the parameter-independent Nash strategy is established. A numerical example is given to demonstrate the efficiency and feasibility of the proposed analysis.
引用
收藏
页码：1103 / 1107
页数：5
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