DocumentCode
837235
Title
Lower bounds on the solution of Lyapunov matrix and algebraic Riccati equations
Author
Karanam, V.R.
Author_Institution
The Bendix Corporation, Englewood, CO, USA
Volume
26
Issue
6
fYear
1981
fDate
12/1/1981 12:00:00 AM
Firstpage
1288
Lastpage
1290
Abstract
In this note various lower bounds for all the eigenvalues of the solution matrix 
of the Lyapunov matrix equation are established. A special case of this result is a generalization of that presented in [1]-[3], where lower bounds for the maximum and minimum eigenvalues of are given. Moreover, the approach used here enables one to establish various lower bounds for some of the (largest) eigenvalues of the solution matrix of the algebraic Riccati equation.
of the Lyapunov matrix equation are established. A special case of this result is a generalization of that presented in [1]-[3], where lower bounds for the maximum and minimum eigenvalues of are given. Moreover, the approach used here enables one to establish various lower bounds for some of the (largest) eigenvalues of the solution matrix of the algebraic Riccati equation.Keywords
Algebraic Riccati equation (ARE); Eigenvalues/eigenvectors; Lyapunov matrix equations; Riccati equations, algebraic; Control system synthesis; Eigenvalues and eigenfunctions; Linear matrix inequalities; MIMO; Notice of Violation; Reduced order systems; Riccati equations; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.1981.1102803
Filename
1102803
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