• DocumentCode
    1535358
  • Title

    A stability test for discrete systems using Davis´ z-domain continued-fraction expansion

  • Author

    Hwang, Chyi ; Hwang, Jyh-Haur ; Tsay, Sun-Yuan

  • Author_Institution
    Dept. of Chem. Eng., Nat. Chung Cheug Univ., Chia, Taiwan
  • Volume
    46
  • Issue
    8
  • fYear
    1999
  • fDate
    8/1/1999 12:00:00 AM
  • Firstpage
    1012
  • Lastpage
    1018
  • Abstract
    Based on the process of expanding a discrete reactance function into Davis´ z-domain continued fractions and the use of the root-locus technique, we derive in this paper necessary and sufficient conditions for a polynomial to have all its zeros inside the unit circle. In addition, we present a procedure for counting the zero distribution of a polynomial with respect to the unit circle
  • Keywords
    discrete systems; poles and zeros; polynomials; stability; discrete reactance function; discrete systems; polynomial; root-locus technique; stability test; unit circle; z-domain continued-fraction expansion; zero distribution; Chemical engineering; Circuit stability; Circuit synthesis; Circuit testing; Network synthesis; Polynomials; Reduced order systems; Scattering; Sufficient conditions; System testing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.780381
  • Filename
    780381