A SUFFICIENT CONDITION FOR STABILITY OF A POLYTOPE OF MATRICES

被引：8

作者：

FANG, YG ^{[1
]}

LOPARO, KA ^{[1
]}

FENG, XB ^{[1
]}

机构：

[1] CASE WESTERN RESERVE UNIV,DEPT SYST ENGN,CLEVELAND,OH 44106

来源：

SYSTEMS & CONTROL LETTERS | 1994年 / 23卷 / 04期

关键词：

STABILITY; INTERVAL DYNAMICAL SYSTEMS; MATRIX MEASURE; ROBUSTNESS;

D O I：

10.1016/0167-6911(94)90045-0

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we study the stability of interval dynamical systems. A sufficient condition for the stability of a polytope of matrices, which is shown to be necessary and sufficient for a certain class of matrices, is obtained. The results developed can also be applied to the stability of a positive cone of matrices and sufficient conditions for the stability of interval dynamical systems are obtained. A relationship between real parts of eigenvalues and matrix measures is also presented.

引用

页码：237 / 245

页数：9

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