A tabular approach to the stability equation method

T. Nigel Lucas

doi:10.1016/0016-0032(92)90106-Q

A tabular approach to the stability equation method

T. Nigel Lucas

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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 language	English
Pages (from-to)	171-180
Number of pages	10
Journal	Journal of the Franklin Institute
Volume	329
Issue number	1
DOIs	https://doi.org/10.1016/0016-0032(92)90106-Q
Publication status	Published - Jan 1992

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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.",

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AB - 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.

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DO - 10.1016/0016-0032(92)90106-Q

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