NECESSARY AND SUFFICIENT CONDITIONS FOR THE HURWITZ AND SCHUR STABILITY OF INTERVAL MATRICES

被引：84

作者：

WANG, KN

MICHEL, AN

LIU, D

机构：

[1] Department of Electrical Engineering, University of Notre Dame, Notre Dame

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1994年 / 39卷 / 06期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1109/9.293189

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We establish a set of new sufficient conditions for the Hurwitz and Schur stability of interval matrices. We use these results to establish necessary and sufficient conditions for the Hurwitz and Schur stability of interval matrices. We relate the above results to the existence of quadratic Lyapunov functions for linear time-invariant systems with interval-valued coefficient matrices. Using the above results, we develop an algorithm to determine the Hurwitz and the Schur stability properties of interval matrices. We demonstrate the applicability of our results by means of two specific examples.

引用

页码：1251 / 1255

页数：5

共 7 条

[1]

COBB JD, 1988, 27TH P IEEE C DEC CO, P119

[2]

Miller R.K., 1982, ORDINARY DIFFERENTIA

[3] CONVERGENCE PROPERTY OF INTERVAL MATRICES AND INTERVAL POLYNOMIALS [J].