Title :
Condition Numbers of the Generalized Sylvester Equation
Author :
Lin, Yiqin ; Wei, Yimin
Author_Institution :
Hunan Univ. of Sci. & Eng., Yongzhou
Abstract :
This note is devoted to the perturbation analysis for the generalized Sylvester equations (AX-YB, DX-YE)= (C, F), which have some important applications in control and system theory. Expressions and upper bounds for normwise, mixed, and componentwise condition numbers are presented. The results are illustrated by numerical examples.
Keywords :
number theory; perturbation theory; condition number; generalized Sylvester equation; perturbation analysis; system theory; Control systems; Eigenvalues and eigenfunctions; Laboratories; Mathematics; Nonlinear equations; Riccati equations; Upper bound; Condition number; generalized Sylvester equation; perturbation analysis;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.910727
