DocumentCode :
815875
Title :
On the Lyapunov matrix equation
Author :
Shapiro, Eliezer Y.
Author_Institution :
PRD Electronics, Syosset, NY, USA
Volume :
19
Issue :
5
fYear :
1974
fDate :
10/1/1974 12:00:00 AM
Firstpage :
594
Lastpage :
596
Abstract :
Given the Lyapunov matrix equation 
a fundamental inequality which is satisfied by the extremal eigenvalues of the matrices 
and 
, provided 
is a stability matrix, is established. This result, besides being interesting from a theoretical standpoint, is extremely useful in the determination of suboptimal controllers for the minimum time problem [1].
a fundamental inequality which is satisfied by the extremal eigenvalues of the matrices and , provided is a stability matrix, is established. This result, besides being interesting from a theoretical standpoint, is extremely useful in the determination of suboptimal controllers for the minimum time problem [1].Keywords :
Lyapunov matrix equations; Concrete; Cost function; Equations; Feedback control; Linear matrix inequalities; Radio frequency; Stability; Symmetric matrices; Uncertain systems; Upper bound;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1974.1100682
Filename :
1100682
Link To Document :
