M-FORM NUMERICAL RANGE AND THE COMPUTATION OF THE STRUCTURED SINGULAR VALUE

被引：38

作者：

FAN, MKH ^{[1
]}

TITS, AL ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT ELECT ENGN,COLLEGE PK,MD 20742

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1988年 / 33卷 / 03期

关键词：

MATHEMATICAL TECHNIQUES - Matrix Algebra;

D O I：

10.1109/9.405

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An equivalent expression for the structured singular value is proposed, leading to an alternative algorithm for its computation. The approach is based on the geometric properties of the m-form numerical range of certain tuples of matrices. Similar to previously considered schemes, the algorithm proposed here is proved to give the correct value for block structures of size up to three. For larger sizes, insight is gained into the question of the possible gap between the structured singular value and its known upper bound.

引用

页码：284 / 289

页数：6

共 18 条

[1]

Au-Yeung Yik-Hoi, 1979, SE ASIAN B MATH, V2, P85

[2]

BRICKMAN L, 1961, P AM MATH SOC, V12, P61

[3] ANALYSIS OF FEEDBACK-SYSTEMS WITH STRUCTURED UNCERTAINTIES [J].