Title :
On Schur stable multivariate polynomials
Author :
J.A. Torres-Munoz;E. Rodriguez-Angeles;V.L. Kharitonov
Author_Institution :
Autom. Control Dept., Center of Res. & Adv. Studies, Mexico City, Mexico
Abstract :
The class of stable multivariate polynomials, recently introduced by Kaczorek (1985), is the largest class of polynomials preserving the stability property under small coefficient variations. The principal goal of the contribution is to show that the class of Schur stable multivariate polynomials is the Moebius transformation of the latter one. This fundamental relation provides a vehicle to translate results known for one class to the other one.
Keywords :
"Polynomials","Vehicles","Stability analysis","Multidimensional systems","Digital filters","Stability criteria","Automatic control","Cities and towns"
Journal_Title :
IEEE Transactions on Circuits and Systems I: Regular Papers
DOI :
10.1109/TCSI.2006.870219
