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

共 23 条

[1] ON SUFFICIENT CONDITIONS FOR THE STABILITY OF INTERVAL MATRICES [J].

ARGOUN, MB .

INTERNATIONAL JOURNAL OF CONTROL, 1986, 44 (05) :1245-1250

[2] STABILITY OF A POLYTOPE OF MATRICES - COUNTEREXAMPLES [J].

BARMISH, BR ;

FU, M ;

SALEH, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1988, 33 (06) :569-572

[3] COUNTER-EXAMPLE TO A RECENT RESULT ON THE STABILITY OF INTERVAL MATRICES BY BIALAS,S. [J].

BARMISH, BR ;

HOLLOT, CV .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (05) :1103-1104

[4] A NECESSARY AND SUFFICIENT CONDITION FOR THE STABILITY OF INTERVAL MATRICES [J].

BIALAS, S .

INTERNATIONAL JOURNAL OF CONTROL, 1983, 37 (04) :717-722

[5]

Desoer CA., 1975, FEEDBACK SYSTEMS INP

[6]

FENG X, 1992, IEEE T AUTOMAT CONTR, V37, P39

[7] SUFFICIENT CONDITIONS FOR STABILITY OF INTERVAL MATRICES [J].

HEINEN, JA .

INTERNATIONAL JOURNAL OF CONTROL, 1984, 39 (06) :1323-1328

[8]

Horn R.A, 2012, MATRIX ANAL, V2nd ed.

[9] SUFFICIENT CONDITION FOR THE ASYMPTOTIC STABILITY OF INTERVAL MATRICES [J].

JIANG, CL .

INTERNATIONAL JOURNAL OF CONTROL, 1987, 46 (05) :1803-1810

[10] SUFFICIENT AND NECESSARY CONDITION FOR THE ASYMPTOTIC STABILITY OF DISCRETE LINEAR INTERVAL SYSTEMS [J].

JIANG, CL .

INTERNATIONAL JOURNAL OF CONTROL, 1988, 47 (05) :1563-1565

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