Stability and inertia

被引：31

作者：

Datta, BN ^{[1
]}

机构：

[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1999年 / 303卷

关键词：

inertia; stability;

D O I：

10.1016/S0024-3795(99)00213-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to present a brief overview of matrix stability and inertia theory. A few applications of inertia and stability theorems, and a nonspectral implicit matrix equation method for determining stability and inertia of a nonhermitian matrix are also presented. Inter-relationships between different theorems are explicitly stated, whenever appropriate. The paper concludes with some problems for future research in this area. (C) 1999 Elsevier Science Inc. All rights reserved. AMS classification: 15A23; 93D05.

引用

页码：563 / 600

页数：38

共 121 条

[1] APPLICATION OF SECOND METHOD OF LYAPUNOV TO PROOF OF MARKOV STABILITY CRITERION [J].

ANDERSON, BD .

INTERNATIONAL JOURNAL OF CONTROL, 1967, 5 (05) :473-+

[2] SCHWARZ MATRIX PROPERTIES FOR CONTINUOUS AND DISCRETE-TIME SYSTEMS [J].

ANDERSON, BDO ;

JURY, EI ;

MANSOUR, M .

INTERNATIONAL JOURNAL OF CONTROL, 1976, 23 (01) :1-16

[3]

ANDERSON BDO, 1976, IEEE T AUTOMAT CONTR, P551

[4]

[Anonymous], 1974, STABILITY SOLUTIONS

[5]

[Anonymous], 1963, Journal of Mathematical Analysis and Applications, DOI DOI 10.1016/0022-247X(63)90023-4

[6] A NOTE ON DYNAMIC STABILITY [J].

ARROW, KJ ;

MCMANUS, M .

ECONOMETRICA, 1958, 26 (03) :448-454

[7] TRENDS IN LARGE SPACE STRUCTURE CONTROL-THEORY - FONDEST HOPES, WILDEST DREAMS [J].

BALAS, MJ .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (03) :522-535

[8]

Barker G., 1978, Linear and Multilinear Algebra, V5, P249

[9] MATRICES, POLYNOMIALS, AND LINEAR TIME-INVARIANT SYSTEMS [J].

BARNETT, S .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1973, AC18 (01) :1-10

[10]

BARNETT S, 1975, IEEE T AUTOMAT CONTR, P158

← 1 2 3 4 5 6 7 8 9 10 →