The stability of a system described by an

th order differential equation

where

, is considered. It is shown that if the roots of the characteristic equation of the system are always contained in a circle on the complex plane with center

, and radius Ω such that
![frac{z}{\\Omega } > 1 + nC_{[n/2]}](/images/tex/4353.gif)
where
![[n/2]](/images/tex/4354.gif)
= nearest integer

and

, where

and

are integers, then the system is uniformly asymptotically stable in the sense of Liapunov.