DocumentCode
833511
Title
On the Lyapunov matrix equation
Author
Bialas, Stanislaw
Author_Institution
Academy of Mining and Metallurgy, Krakow, Poland
Volume
25
Issue
4
fYear
1980
fDate
8/1/1980 12:00:00 AM
Firstpage
813
Lastpage
814
Abstract
In this paper the inequality which is satisfied by the determinant of the solution of the Lyapunov matrix equation 
is presented. The result makes possible a lower estimate of product eigenvalues of the matrix 
and dependence from eigenvalues of the matrices 
and 
. This result corresponds to those presented in [2] and [3], where an estimate of the extremal eigenvalues of the matrix is presented. This estimate depends on the eigenvalues of the matrices and .
is presented. The result makes possible a lower estimate of product eigenvalues of the matrix and dependence from eigenvalues of the matrices and . This result corresponds to those presented in [2] and [3], where an estimate of the extremal eigenvalues of the matrix is presented. This estimate depends on the eigenvalues of the matrices and .Keywords
Lyapunov matrix equations; Asymptotic stability; Constraint theory; Delay effects; Eigenvalues and eigenfunctions; Equations; Interconnected systems; Linear matrix inequalities; Lyapunov method; Sufficient conditions; Testing;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1980.1102438
Filename
1102438
Link To Document