BOUNDS ON GENERALIZED STRUCTURED SINGULAR-VALUES VIA THE PERRON ROOT OF MATRIX MAJORANTS

被引：11

作者：

CHEN, J

NETT, CN

机构：

[1] GEORGIA INST TECHNOL,SCH AEROSP ENGN,ATLANTA,GA 30332

[2] GEORGIA INST TECHNOL,SCH ELECT ENGN,ATLANTA,GA 30332

来源：

SYSTEMS & CONTROL LETTERS | 1992年 / 19卷 / 06期

关键词：

STRUCTURED SINGULAR VALUE; PERRON ROOT; BLOCK-NORM MATRIX; UNCERTAINTY; ROBUSTNESS ANALYSIS;

D O I：

10.1016/0167-6911(92)90075-4

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The purpose of this paper is to present several bounds upon the structured singular value. We first adopt a generalized notion of the structured singular value which is useful for problems where uncertainties are assumed to be bounded in an l(p)-induced matrix norm. Two different type of bounds, in terms of Perron root and interaction parameters respectively, are given for the new structured singular value and their relations are discussed. These bounds are useful in that they are easy to compute and may be further analyzed to provide insights useful in design.

引用

页码：439 / 449

页数：11

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