Abstract
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 language | English |
|---|---|
| Pages (from-to) | 49-60 |
| Number of pages | 12 |
| Journal | Journal of the Franklin Institute |
| Volume | 321 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 1986 |
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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 journal › Article
TY - JOUR
T1 - Continued-fraction expansion about two or more points
T2 - a flexible approach to linear system reduction
AU - Lucas, T. Nigel
PY - 1986/1
Y1 - 1986/1
N2 - 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.
AB - 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.
U2 - 10.1016/0016-0032(86)90055-4
DO - 10.1016/0016-0032(86)90055-4
M3 - Article
VL - 321
SP - 49
EP - 60
JO - Journal of the Franklin Institute
JF - Journal of the Franklin Institute
SN - 0016-0032
IS - 1
ER -