Convex invertible cones and the Lyapunov equation

被引：36

作者：

Cohen, N ^{[1
]}

Lewkowicz, I ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,CTR PROC SYST ENGN,LONDON SW7 2BY,ENGLAND

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1997年 / 250卷

关键词：

D O I：

10.1016/0024-3795(95)00424-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Convex cones of matrices which are closed under matrix inversion are defined, and their structure is studied. Various connections with the algebraic Lyapunov equation of general inertia are explored. (C) Elsevier Science Inc., 1997

引用

页码：105 / 131

页数：27

共 20 条

[1] BALTZER LA, 1980, INT J CONTROL, V32, P1057
[2] Barker G., 1978, Linear and Multilinear Algebra, V5, P249
[3] BOYD S, 1989, INT J CONTROL, V49, P2215
[4] BLOCK DIAGONAL SEMISTABILITY FACTORS AND LYAPUNOV SEMISTABILITY OF BLOCK TRIANGULAR MATRICES
CARLSON, D
HERSHKOWITZ, D
SHASHA, D
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1992, 172 : 1 - 25
[5] GENERALIZATION OF INERTIA THEOREM
CHEN, CT
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 25 (02) : 158 - 161
[6] A NECESSARY AND SUFFICIENT CRITERION FOR THE STABILITY OF A CONVEX SET OF MATRICES
COHEN, N
LEWKOWICZ, I
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (04) : 611 - 614
[7] COHEN N, UNPUB CONVEX INVERTI
[8] DENMAN ED, 1976, APPL MATH COMPUT, V2, P63, DOI DOI 10.1016/0096-3003(76)90020-5
[9] ESCHENBACH CA, 1992, SELF INVERSE SIGN PA, V1005
[10] FAN K, 1973, LINEAR MULTILINEAR A, V1, P1

← 1 2 →