DocumentCode :
798814
Title :
Stability conditions for an 
th-order nonlinear time-varying differential system
th-order nonlinear time-varying differential systemAuthor :
Man, F. ; Davison, E.
Author_Institution :
University of Toronto, Toronto, Ontario, Canada
Volume :
13
Issue :
6
fYear :
1968
fDate :
12/1/1968 12:00:00 AM
Firstpage :
723
Lastpage :
724
Abstract :
The stability of a system described by the th-order differential equation 
where 
, 
is considered. It is shown that if the instantaneous 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 
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 instantaneous 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 then the system is uniformly asymptotically stable in the sense of Liapunov.Keywords :
Nonlinear systems, time-varying; Stability; Time-varying systems, nonlinear; Asymptotic stability; Circuit stability; Differential equations; Nonlinear equations; Stability criteria; Sufficient conditions; Time varying systems; Veins;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1968.1099030
Filename :
1099030
Link To Document :
