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 :
