### Abstract

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

Pages (from-to) | 95-102 |

Journal | Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering |

Volume | 210 |

Issue number | 2 |

DOIs | |

State | Published - 1 May 1996 |

### Cite this

*Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering*,

*210*(2), 95-102. DOI: 10.1243/PIME_PROC_1996_210_442_02

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*Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering*, vol 210, no. 2, pp. 95-102. DOI: 10.1243/PIME_PROC_1996_210_442_02

**A unifying theory of least‐squares Padé model reduction methods.** / Smith, I. D.; Lucas, T. Nigel.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A unifying theory of least‐squares Padé model reduction methods

AU - Smith,I. D.

AU - Lucas,T. Nigel

PY - 1996/5/1

Y1 - 1996/5/1

N2 - The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.

AB - The apparently different approaches of least-squares parameter-matching Podé model reduction methods are shown to be related via a unifying theory. From the formulation it is possible to show several interesting features of the least-squares approach which lead to a fuller understanding of exactly how the reduced model approximates the system. An error index is derived for the general case and it is shown that a range of system parameter preservation options are available to the user. A numerical example illustrates the main points of the paper.

U2 - 10.1243/PIME_PROC_1996_210_442_02

DO - 10.1243/PIME_PROC_1996_210_442_02

M3 - Article

VL - 210

SP - 95

EP - 102

JO - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

T2 - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

JF - Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering

SN - 0959-6518

IS - 2

ER -