On the Bistritz tabular form and its relationship with the Schur-Cohn minors and inner determinants

K. Premaratne, E. I. Jury

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

The Bistritz tabular form may be utilized in determining discrete-time system stability with less computational effort as compared with the Jury tabular form. When appropriately constructed, the latter, however, provides the Schur-Cohn minors and the inner determinants related to the characteristic equation being tested. In this paper, we show that these quantities also may be extracted from the Bistritz tabular form. The cases of polynomials with both real- and complex-valued coefficients are studied. An important consequence of these relationships is the possibility of utilizing the Bistritz table in determining stability of two- and multi-dimensional discrete-time systems.

Original languageEnglish (US)
Pages (from-to)165-182
Number of pages18
JournalJournal of the Franklin Institute
Volume330
Issue number1
DOIs
StatePublished - Jan 1993

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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