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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A tabular approach to the stability equation method. / Lucas, T. Nigel.
In: Journal of the Franklin Institute, Vol. 329, No. 1, 01.1992, p. 171-180.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 -