Stability determination of two-dimensional discrete-time systems

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

In determining root distribution of univariate polynomials with real or complex-valued coefficients, the Bistritz tabular form offers a significant computational advantage. Stability studies of two-dimensional (2-D) discrete-time systems involve univariate polynomials possessing parameter-dependent coefficients, where the parameter takes values on the unit circle in the complex plane. This paper investigates the application of Bistritz tabular form in determining stability of 2-D discrete-time systems, and for this purpose we present two algorithms. Both algorithms utilize a recent result that has established the relationship between Schur-Cohn minors and the entries of the Bistritz tabular form corresponding to a given polynomial. A comparison between the use of the modified Jury table and the Bistritz table in stability checking of 2-D discrete-time systems is also presented.

Original languageEnglish (US)
Pages (from-to)331-354
Number of pages24
JournalMultidimensional Systems and Signal Processing
Volume4
Issue number4
DOIs
StatePublished - Oct 1 1993

Keywords

  • Bistritz tabular form
  • bivariate polynomials
  • Jury tabular form
  • Schur-Cohn minors
  • stability
  • two-dimensional digital filters
  • two-dimensional discrete-time systems

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Electrical and Electronic Engineering
  • Signal Processing
  • Computational Theory and Mathematics

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