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

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Abstract

We formulate and prove a theorem which gives a rigorous theoretical 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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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, 50011, Ames, Iowa, USA

    D. A. Hoeflin & R. K. Miller

Authors
  1. D. A. Hoeflin
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  2. R. K. Miller
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Additional information

This research was supported by the National Science Foundation under Grant ECS-8100690.

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Hoeflin, D.A., Miller, R.K. Oscillations of nonlinear feedback systems which contain tightly coupled subsystems in cascade. Circuits Systems and Signal Process 5, 227–259 (1986). https://doi.org/10.1007/BF01600058

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  • DOI: https://doi.org/10.1007/BF01600058

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