Continued-fraction expansion about two or more points: a flexible approach to linear system reduction

T. Nigel Lucas

Research output: Contribution to journalArticle

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Abstract

Model reduction by continued-fraction expansion about two or more points, including the general point s = a, is shown to be a real alternative to the methods which guarantee stability. Suitable choice of a is seen to overcome the problem of unstable reduced models while still retaining the maximum number of full system parameters in the model.

Simple extension of the method to more than one general point is outlined, providing a link with pole retention methods and the consequences are discussed.

A new criterion for choosing a is suggested and its use is demonstrated in some examples, which compare the method directly with stability based methods.
Original languageEnglish
Pages (from-to)49-60
Number of pages12
JournalJournal of the Franklin Institute
Volume321
Issue number1
DOIs
StatePublished - Jan 1986

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Continued fraction expansion
Linear systems
Poles
Reduced model
Model reduction
Pole
Unstable
Alternatives
Model

Cite this

Lucas, T. Nigel / Continued-fraction expansion about two or more points : a flexible approach to linear system reduction.

In: Journal of the Franklin Institute, Vol. 321, No. 1, 01.1986, p. 49-60.

Research output: Contribution to journalArticle

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Continued-fraction expansion about two or more points : a flexible approach to linear system reduction. / Lucas, T. Nigel.

In: Journal of the Franklin Institute, Vol. 321, No. 1, 01.1986, p. 49-60.

Research output: Contribution to journalArticle

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