Tabular method for determining root distribution of delta-operator formulated real polynomials

Kamal Premaratne, Eliahu Jury

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A tabular method for the investigation of real polynomial root distribution with respect to the circle |c+1/Δ |=1Δ in the complex plane is presented. Such a procedure is useful in stability considerations of δ-operator formulated discrete-time systems with sampling time Δ, in particular, when the characteristic polynomial contains literal coefficients. We show that, direct verification of stability may be preferable over techniques that utilize transformations when the sampling frequency is fast relative to the system bandwidth. In addition, as sampling frequency increases, the relationship with the well known Routh-Hurwitz table becomes apparent.

Original languageEnglish
Pages (from-to)352-355
Number of pages4
JournalIEEE Transactions on Automatic Control
Volume39
Issue number2
DOIs
StatePublished - Feb 1 1994

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Mathematical operators
Polynomials
Sampling
Bandwidth

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Tabular method for determining root distribution of delta-operator formulated real polynomials. / Premaratne, Kamal; Jury, Eliahu.

In: IEEE Transactions on Automatic Control, Vol. 39, No. 2, 01.02.1994, p. 352-355.

Research output: Contribution to journalArticle

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