An Algorithm for Stability Determination of Two-Dimensional Delta- Operator Formulated Discrete-Time Systems

Abstract

The recent interest in delta-operator formulated discrete-time systems is due mainly to their superior finite wordlength characteristics as compared to their more conventional shift-operator counterparts, and the possibility of a more unified treatment of both continuous- and discrete-time systems. With such advantages, design, analysis, and implementation of two- dimensional (2-D) discrete-time systems using the delta-operator is indeed warranted. Towards this end, the work in this paper addresses the development of an easily implementable direct algorithm for stability checking of 2-D discrete time system transfer function models. Indirect methods that utilize transformation techniques are not pursued since they can be numerically unreliable. In development such an algorithm, a tabular form for stability checking of discrete time system characteristic polynomials with complex-valued coefficients and certain quantities that may be regarded as their corresponding Schur-Cohn minors are also proposed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1993
Accession Number
ADA283070

Entities

People

  • A. S. Boujarwah
  • Kamal Premaratne

Organizations

  • University of Miami

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Communication Systems
  • Complex Numbers
  • Computations
  • Construction
  • Digital Filters
  • Engineering
  • Plastic Explosives
  • Polynomials
  • Sampling
  • Sequences
  • Signal Processing
  • Technical Information Centers
  • Theorems
  • Transfer Functions
  • Two Dimensional

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Programming and Software Development.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)