Title :
Periodic motion in nonlinear systems
Author :
Williamson, Darrell
Author_Institution :
University of New South Wales, N.S.W., Australia
fDate :
8/1/1975 12:00:00 AM
Abstract :
In this paper it is shown how some basic ideas from system theory and differential geometry can be used to establish some new results on the existence of periodic motion in automomous feedback systems. The conditions are expressed in terms of the frequency response characteristic of the open-loop system and certain general properties of the non-linearities.
Keywords :
Nonlinear systems, continuous-time; Australia; Feedback; Forward contracts; Frequency response; Geometry; Linear systems; Nonlinear systems; Stability; Sufficient conditions; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1975.1101026
