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Periodic motion in nonlinear systems

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1 Author(s)
Williamson, D. ; University of New South Wales, N.S.W., Australia

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.

Published in:

Automatic Control, IEEE Transactions on  (Volume:20 ,  Issue: 4 )