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Influence of zero locations on the number of step-response extrema

✍ Scribed by Mario El-Khoury; Oscar D. Crisalle; Roland Longchamp

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
338 KB
Volume
29
Category
Article
ISSN
0005-1098

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✦ Synopsis

A new bounding theorem for the number of extrema that may occur in the step-response of a stable linear system is presented. The derivation of an easily-computed upper bound is given to complement literature results which have previously established the existence of a lower bound. The theorem requires knowledge of the pole-zero configuration of the transfer-function and is applicable to stable systems with real zeros and real poles.

πŸ“œ SIMILAR VOLUMES

On the Location of the Zeros of a Polyno
On the Location of the Zeros of a Polynomial
✍ R.B. Gardner; N.K. Govil πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 134 KB

The classical EnestΓΆm-Kekeya Theorem states that a polynomial \(p(z)=\) \(\sum_{i=0}^{n} a_{i} z^{\prime}\) satisfying \(0<a_{0} \leq a_{1} \leq \cdots \leq a_{n}\) has all its zeros in \(|z| \leq 1\). We extend this result to a larger class of polynomials by dropping the conditions that the coeffic