Circuits, Systems, and Signal Processing

, Volume 38, Issue 12, pp 5908–5919 | Cite as

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

  • Huanchao DuEmail author
  • Xiaoguang Hu
  • Chaoqun Ma
Short Paper


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.


Nondecreasing step response Polynomial root determination Linear system Negative real poles 



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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.State Key Laboratory of Virtual Reality Technology and SystemsBeihang UniversityBeijingChina

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