DocumentCode
819987
Title
Comments on "On the Lyapunov matrix equation"
Author
Montemayor, J.J. ; Womack, Baxter F.
Author_Institution
University of Texas, Austin, TX, USA
Volume
20
Issue
6
fYear
1975
fDate
12/1/1975 12:00:00 AM
Firstpage
814
Lastpage
815
Abstract
The Lyapunov matrix equation 
is considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matrices 
and 
provided 
is a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.
is considered in the above paper, where two fundamental inequalities are derived which are satisfied by the extremal eigenvalues of the matrices and provided is a stability matrix. Similar results are derived by an alternate more simple and straightforward approach using matrix norms.Keywords
Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Linear matrix inequalities; Shape control; Symmetric matrices; Transforms;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1975.1101086
Filename
1101086
Link To Document