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
Link To Document :
