Autonomous periodic motion in nonlinear feedback systems
- 1 August 1974
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 19 (4) , 381-387
- https://doi.org/10.1109/tac.1974.1100604
Abstract
Sufficient conditions are presented for the existence of periodic motions in a class of autonomous, time-invariant, non-linear feedback systems. The conditions can be interpreted as circle type criteria, stated in terms of the frequency response and root locus diagrams for the system's linear part, and in terms of the characteristics of the nonlinearity.Keywords
This publication has 3 references indexed in Scilit:
- On the instability of nonlinear systemsIEEE Transactions on Automatic Control, 1973
- A counterpart of Popov's theorem for the existence of periodic solutions†International Journal of Control, 1971
- A Frequency Domain Approach to the Problem of the Existence of Periodic Motion in Autonomous Nonlinear Feedback SystemsZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1969