Degree Type

Dissertation

Date of Award

1984

Degree Name

Doctor of Philosophy

Department

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.

DOI

https://doi.org/10.31274/rtd-180813-6838

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

David Arthur Hoeflin

Language

en

Proquest ID

AAI8505829

File Format

application/pdf

File Size

138 pages

Included in

Mathematics Commons

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