DocumentCode :
797800
Title :
A simpler stability criterion for a class of nonlinear systems
Author :
Asim Sen
Author_Institution :
University of Manitoba, Winnipeg, Manitoba, Canada
Volume :
13
Issue :
4
fYear :
1968
fDate :
8/1/1968 12:00:00 AM
Firstpage :
451
Lastpage :
452
Abstract :
A simpler stability criterion is presented here that is useful for predicting limit cycles in a class of second-order non-linear control systems. The criterion is developed simply from a study of the roots of the system characteristic equation. It is shown that the limit cycle predicted by this criterion is stable if the slope of the 
-locus at the intersection point is positive, while a negative slope indicates an unstable limit cycle.
-locus at the intersection point is positive, while a negative slope indicates an unstable limit cycle.Keywords :
Limit cycles; Nonlinear systems; Stability; Control systems; Error correction; Limit-cycles; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Sampling methods; Stability analysis; Stability criteria; Transfer functions;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1968.1098933
Filename :
1098933
Link To Document :
