A note on eigenvalue bounds in algebraic Riccati equation
Author :
Karanam, V.R.
Author_Institution :
Bendix Corporation, Englewood, CO, USA
Volume :
28
Issue :
1
fYear :
1983
fDate :
1/1/1983 12:00:00 AM
Firstpage :
109
Lastpage :
111
Abstract :
In this note, an upper bound on the maximum eigenvalue of the solution matrix of the algebraic Riccati equation is established. The approach outlined also results in several lower bounds, which are more general than those derived in [1], for some of the largest eigenvalues of .
Keywords :
Algebraic Riccati equation (ARE); Eigenvalues/eigenvectors; Riccati equations, algebraic; Control systems; Eigenvalues and eigenfunctions; Feedback; Linear matrix inequalities; Linear programming; Riccati equations; Robust stability; Steady-state; Testing; Upper bound;