CONTINUITY PROPERTIES OF THE REAL COMPLEX STRUCTURED SINGULAR-VALUE

被引：61

作者：

PACKARD, A ^{[1
]}

PANDEY, P ^{[1
]}

机构：

[1] INTEGRATED SYST INC,SANTA CLARA,CA 95054

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1993年 / 38卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/9.210140

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 structured singular-value function (mu) is defined with respect to a given uncertainty set. This function is continuous if the uncertainties are allowed to be complex. However, if some uncertainties are required to be real, then it can be discontinuous. It is shown that mu is always upper semicontinuous, and conditions are derived under which it is also lower semicontinuous. With these results, the real-parameter robustness problem is reexamined. A related (although not equivalent) problem is formulated, which is always continuous, and the relationship between the new problem and the original real-mu problem is made explicit. A numerical example and results obtained via this related problem are presented.

引用

页码：415 / 428

页数：14

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