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

5 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

Keywords

Algorithms

Access to Document

10.1016/0016-0032(92)90106-Q

Cite this

@article{b04fc803d92c4c0298f66ef1478b4bf1,

title = "A tabular approach to the stability equation method",

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.",

author = "Lucas, {T. Nigel}",

year = "1992",

month = jan,

doi = "10.1016/0016-0032(92)90106-Q",

language = "English",

volume = "329",

pages = "171--180",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier Limited",

number = "1",

}

TY - JOUR

T1 - A tabular approach to the stability equation method

AU - Lucas, T. Nigel

PY - 1992/1

Y1 - 1992/1

N2 - 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.

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.

U2 - 10.1016/0016-0032(92)90106-Q

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

M3 - Article

VL - 329

SP - 171

EP - 180

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

SN - 0016-0032

IS - 1

ER -

A tabular approach to the stability equation method

Abstract

Keywords

Access to Document

Fingerprint

Cite this