Two Necessary Conditions for a Complex Polynomial to be Strictly Hurwitz and Their Applications in Robust Stability Analysis

Y. Q. Shi

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

In this note, two necessary conditions for a complex polynomial to be strictly Hurwitz (formerly available only in Chinese [1]), are reviewed and rigorously proved. Both necessary conditions have been extended to cover nonmonic polynomials instead of monic polynomials as restricted in [1], Also, based on these two results, some necessary conditions for an interval polynomial to be stable in terms of being strict Hurwitz are obtained. They can be used to quickly determine the instability of a complex interval polynomial family. Finally, their application to the study of robust stability, in the case where coefficient perturbation intervals are functions of a single parameter, is briefly discussed.

Original languageEnglish (US)
Pages (from-to)125-128
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume38
Issue number1
DOIs
StatePublished - Jan 1993

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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