Oscillations of nonlinear feedback systems which contain tightly coupled subsystems in cascade

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1984
Authors
Hoeflin, David
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Mathematics
Abstract

We formulate and prove a theorem which gives a rigorous mathematical justification for the use of describing functions to predict the existence of limit cycles in a multiple nonlinear feedback system and to predict the stability properties of these limit cycles. Our approach uses the classical sinusoidal-input describing function and the theory of integral manifolds. We demonstrate the applicability of our result by means of two specific examples.

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Sun Jan 01 00:00:00 UTC 1984