The Routh-Hurwitz array and realization of characteristic polynomials

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Abstract

In this paper we show that the Routh-Hurwitz array of a given characteristic polynomial provides all the information required to realize the polynomial using an electrical circuit. This new interpretation also leads to an intuitive proof of the Routh-Hurwitz stability criterion.

Original languageEnglish
Pages (from-to)2424-2427
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume45
Issue number12
DOIs
StatePublished - 2000

Keywords

  • Realization theory
  • Routh-Hurwitz criterion
  • Stability

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