A tabular approach to the stability equation method

T. Nigel Lucas

Research output: Contribution to journalArticle

  • 3 Citations

Abstract

A tabular method for reducing polynomial degrees by the stability equation criterion is given. It is the consequence of an interesting multipoint Taylor polynomial approximation property which is shown to hold for the method. The resulting iterative Routh- type algorithm is easily applied to the system transfer function numerator and denominator polynomials and does away with the need to employ time-constant form and root-finding methods. Numerical examples are given to illustrate the new approach.
Original languageEnglish
Pages (from-to)171-180
Number of pages10
JournalJournal of the Franklin Institute
Volume329
Issue number1
DOIs
StatePublished - Jan 1992

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Polynomials
Polynomial
Polynomial approximation
Transfer functions
Form-finding
Taylor polynomial
Root-finding
Numerator
Denominator
Approximation property
Time constant
Transfer function
Numerical examples

Cite this

Lucas, T. Nigel / A tabular approach to the stability equation method.

In: Journal of the Franklin Institute, Vol. 329, No. 1, 01.1992, p. 171-180.

Research output: Contribution to journalArticle

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A tabular approach to the stability equation method. / Lucas, T. Nigel.

In: Journal of the Franklin Institute, Vol. 329, No. 1, 01.1992, p. 171-180.

Research output: Contribution to journalArticle

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