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

页码：1103 / 1107

页数：5

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