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Stability criteria for linear systems and realizability criteria for RC networks

Published online by Cambridge University Press:  24 October 2008

A. T. Fuller
A. T. Fuller
Affiliation:
Department of EngineeringCambridge
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Abstract

A new set of stability criteria for linear systems is derived. This shows that about half of the Hurwitz criteria are redundant when certain of the coefficients of the characteristic equation are known to be positive. The theory is applied to obtain a very short derivation of the known aperiodicity criteria. The conditions for realizability of RC networks are shown to be closely related to the stability and aperiodicity criteria, and are stated as sets of criteria in terms of the polynomial coefficients. Two basic theorems are involved which give the necessary and sufficient conditions for the roots of two polynomial equations to be real and separated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 4 , October 1957 , pp. 878 - 896
Copyright
Copyright © Cambridge Philosophical Society 1957

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