DocumentCode :
829522
Title :
On bounds of Lyapunov´s matrix equation
Author :
Geromel, J.C. ; Bernussou, J.
Author_Institution :
Universidade Estadual de Campinas, Brazil
Volume :
24
Issue :
3
fYear :
1979
fDate :
6/1/1979 12:00:00 AM
Firstpage :
482
Lastpage :
483
Abstract :
In this paper, new bounds are given for the matrix solution of the Lyapunov equation 
. It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class of 
matrices which is given. The results are compared to those given in [1] through some examples.
. It is shown that it is always possible to achieve a lower bound, while the upper bound can be obtained for a specified class of matrices which is given. The results are compared to those given in [1] through some examples.Keywords :
Lyapunov matrix equations; Automatic control; Covariance matrix; Equations; Matrices; Performance evaluation; Polynomials; Stability; System testing; Transfer functions; White noise;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1979.1102053
Filename :
1102053
Link To Document :
