DocumentCode :
796243
Title :
The stability of an nth-order nonlinear time-varying differential system
Author :
Davison, E.J.
Author_Institution :
University of Toronto, Toronto, Canada
Volume :
13
Issue :
1
fYear :
1968
fDate :
2/1/1968 12:00:00 AM
Firstpage :
99
Lastpage :
102
Abstract :
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.
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 where = nearest integer and , where and are integers, then the system is uniformly asymptotically stable in the sense of Liapunov.Keywords :
Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Adaptive control; Aerospace control; Automatic control; Control systems; Delay effects; Learning systems; Regulators; Stability; Time varying systems;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1968.1098781
Filename :
1098781
Link To Document :
