LYAPUNOV MATRIX EQUATION SA + A-STAR-S=S-STAR-B-STAR-BS

被引：14

作者：

CARLSON, DH ^{[1
]}

DATTA, BN ^{[1
]}

机构：

[1] UNIV ESTADUAL CAMPINAS,INST MATEMATICA ESTATIST & CIENCIAS COMP,CAMPINAS 13100,SP,BRAZIL

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1979年 / 28卷 / DEC期

关键词：

D O I：

10.1016/0024-3795(79)90117-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The matrix equation SA+A*S=S*B*BS is studied, under the assumption that (A, B*) is controllable, but allowing nonhermitian S. An inequality is given relating the dimensions of the eigenspaces of A and of the null space of S. In particular, if B has rank 1 and S is nonsingular, then S is hermitian, and the inertias of A and S are equal. Other inertial results are obtained, the role of the controllability of (A*, B*S*) is studied, and a class of D-stable matrices is determined. © 1979.

引用

页码：43 / 52

页数：10

共 13 条

[1] [Anonymous], NED AKAD WET P A
[2] CARLSON D, 1974, LINEAR ALGEBRA APPL, V8, P237
[3] CARLSON DE, UNPUBLISHED
[4] GENERALIZATION OF INERTIA THEOREM
CHEN, CT
[J]. SIAM JOURNAL ON APPLIED MATHEMATICS, 1973, 25 (02) : 158 - 161
[5] STABILITY AND D-STABILITY
DATTA, BN
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1978, 21 (02) : 135 - 141
[6] NONSINGULAR SOLUTIONS OF TA-BT=C
HEARON, JZ
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1977, 16 (01) : 57 - 63
[7] LYAPUNOV FUNCTIONS FOR PROBLEM OF LURE IN AUTOMATIC CONTROL
KALMAN, RE
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1963, 49 (02) : 201 - &
[8] MACDUFFEE CC, 1956, THEORY MATRICES
[9] Ostrowski A., 1961, J MATH ANAL APPL, V4, P72
[10] A GENERALIZATION OF A THEOREM OF LYAPUNOV
TAUSSKY, O
[J]. JOURNAL OF THE SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS, 1961, 9 (04): : 640 - 643

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