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
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