• DocumentCode
    811439
  • Title

    A simplified Schur-Cohn test

  • Author

    Anderson, B.D.O. ; Jury, E.I.

  • Author_Institution
    University of Newcastle, Newcastle, NSW, Australia
  • Volume
    18
  • Issue
    2
  • fYear
    1973
  • fDate
    4/1/1973 12:00:00 AM
  • Firstpage
    157
  • Lastpage
    163
  • Abstract
    A new test is given for deciding whether a prescribed real polynomial of degree n has all its zeros inside the unit circle. The test involves examination of the sign of various linear combinations of the polynomial coefficients, as well as examination to check positive definiteness of a symmetric matrix of dimensions frac{1}{2}n \\times frac{1}{2}n when n is even, and frac{1}{2}(n + 1) \\times frac{1}{2}(n + 1) or frac{1}{2}(n - 1) \\times frac{1}{2}(n - 1) when n is odd.
  • Keywords
    Linear systems, time-invariant discrete-time; Polynomials; Stability; Australia; Computer science; Polynomials; Stability; Symmetric matrices; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1973.1100253
  • Filename
    1100253