A Technique for Determining Whether a Linear System has a Nondecreasing Step Response

Huanchao Du; Xiaoguang Hu; Chaoqun Ma

doi:10.1007/s00034-019-01166-2

A Technique for Determining Whether a Linear System has a Nondecreasing Step Response

Huanchao Du^*
, Xiaoguang Hu
, Chaoqun Ma

^*Corresponding author for this work

School of Automation Science and Electrical Engineering

Beihang University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

This paper deals with the problem of determining whether or not a linear system has a nondecreasing step response. Results are given in the form of root determination of a polynomial. These results can be applied to a more general class of systems, i.e., the system can be of arbitrary order, the zeros can be real or complex, and the poles of the system can be distributed arbitrarily along the negative real axis, including multiple poles.

Original language	English
Pages (from-to)	5908-5919
Number of pages	12
Journal	Circuits, Systems, and Signal Processing
Volume	38
Issue number	12
DOIs	https://doi.org/10.1007/s00034-019-01166-2
State	Published - 1 Dec 2019

Keywords

Linear system
Negative real poles
Nondecreasing step response
Polynomial root determination

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10.1007/s00034-019-01166-2

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title = "A Technique for Determining Whether a Linear System has a Nondecreasing Step Response",

abstract = "This paper deals with the problem of determining whether or not a linear system has a nondecreasing step response. Results are given in the form of root determination of a polynomial. These results can be applied to a more general class of systems, i.e., the system can be of arbitrary order, the zeros can be real or complex, and the poles of the system can be distributed arbitrarily along the negative real axis, including multiple poles.",

keywords = "Linear system, Negative real poles, Nondecreasing step response, Polynomial root determination",

author = "Huanchao Du and Xiaoguang Hu and Chaoqun Ma",

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N2 - This paper deals with the problem of determining whether or not a linear system has a nondecreasing step response. Results are given in the form of root determination of a polynomial. These results can be applied to a more general class of systems, i.e., the system can be of arbitrary order, the zeros can be real or complex, and the poles of the system can be distributed arbitrarily along the negative real axis, including multiple poles.

AB - This paper deals with the problem of determining whether or not a linear system has a nondecreasing step response. Results are given in the form of root determination of a polynomial. These results can be applied to a more general class of systems, i.e., the system can be of arbitrary order, the zeros can be real or complex, and the poles of the system can be distributed arbitrarily along the negative real axis, including multiple poles.

KW - Linear system

KW - Negative real poles

KW - Nondecreasing step response

KW - Polynomial root determination

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ER -

A Technique for Determining Whether a Linear System has a Nondecreasing Step Response

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Keywords

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