• DocumentCode
    847963
  • Title

    A note on aperiodicity condition for linear discrete systems

  • Author

    Jury, E.I.

  • Author_Institution
    University of Miami, Coral Gables, FL, USA
  • Volume
    30
  • Issue
    11
  • fYear
    1985
  • fDate
    11/1/1985 12:00:00 AM
  • Firstpage
    1100
  • Lastpage
    1101
  • Abstract
    In this note conditions for the roots of a real polynomial to lie in the segment [0, 1), i.e., aperiodicity condition is obtained. The conditions obtained are based on a nonlinear transformation which transforms the segment [0, 1) onto the periphery of the unit circle. The results of this note correct the earlier proposed corollary obtained by Szaraniec using this transformation and present a test for verifying the aperiodicity condition.
  • Keywords
    Polynomials; Stability, linear systems; Automatic control; Continuous time systems; Control systems; Discrete transforms; Equations; Instruments; Polynomials; Stability; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1985.1103843
  • Filename
    1103843