### Abstract

Original language | English |
---|---|

Pages (from-to) | 171-180 |

Number of pages | 10 |

Journal | Journal of the Franklin Institute |

Volume | 329 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1992 |

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### Cite this

*Journal of the Franklin Institute*,

*329*(1), 171-180. DOI: 10.1016/0016-0032(92)90106-Q

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*Journal of the Franklin Institute*, vol 329, no. 1, pp. 171-180. DOI: 10.1016/0016-0032(92)90106-Q

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

Research output: Contribution to journal › Article

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

T2 - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

SN - 0016-0032

IS - 1

ER -