A Simplified Stability Criterion for Linear Discrete Systems

Abstract

A simplified analytic test of stability of linear discrete systems is obtained. This test also yields the necessary and sufficient conditions for a real polynomial in the variable z to have all its roots inside the unit circle in the zplane. It is shown that for the test of a fourth-order system only a third order determinant is required and for the fifth-order only two determinants are required. The test is applied directly in the z-plane and yields the minimum number of constraint terms. Stability constraints up to the fifth-order case are obtained and for the nth order case are formulated. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0264678

Entities

People

  • E. I. Jury

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • California
  • Coefficients
  • Complex Variables
  • Control Systems
  • Difference Equations
  • Digital Computers
  • Electrical Engineering
  • Engineering
  • Engineers
  • Equations
  • Government Procurement
  • Identities
  • Linear Systems
  • Mechanical Engineering
  • New York
  • United States

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Approximation Theory.
  • Linear Algebra
  • Regression Analysis.