Equivalents of Schur-Cohn minors for delta-operator formulated discrete-time systems

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Recently, interest in delta-operator (or, δ-operator) formulated discrete-time systems (or, δ-systems) has seen an increase due mainly to their superior finite wordlength properties as compared to the more traditional shift-operator (or, q-operator) formulated discrete-time systems (or, q-systems). In addition, the δ-operator yields the differential operator as a limiting case enabling a unified treatment of both continuous- and discrete-time systems. In this work, we present certain quantities that may be regarded as Schur-Cohn minors applicable for δ-system characteristic polynomials. For this purpose, a recently introduced tabular method for stability checking of δ-systems is extended to the complex coefficient case. The results presented herein paves the way for developing effective algorithms for stability checking of two-and multi-dimensional δ-systems.

Original languageEnglish (US)
Title of host publicationProc IEEE 1993 Pac Rim Conf Commun Comput Signal Process
PublisherPubl by IEEE
Pages407-410
Number of pages4
ISBN (Print)0780312198
StatePublished - Jan 1 1993
EventProceedings of the IEEE 1993 Pacific Rim Conference on Communications, Computers and Signal Processing - Victoria, BC, Can
Duration: May 19 1993May 21 1993

Publication series

NameProc IEEE 1993 Pac Rim Conf Commun Comput Signal Process

Other

OtherProceedings of the IEEE 1993 Pacific Rim Conference on Communications, Computers and Signal Processing
CityVictoria, BC, Can
Period5/19/935/21/93

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Premaratne, K. (1993). Equivalents of Schur-Cohn minors for delta-operator formulated discrete-time systems. In Proc IEEE 1993 Pac Rim Conf Commun Comput Signal Process (pp. 407-410). (Proc IEEE 1993 Pac Rim Conf Commun Comput Signal Process). Publ by IEEE.