• DocumentCode
    847474
  • Title

    A note on the location of the roots of a polynomial

  • Author

    Yugeng Xi ; Schmidt, G.

  • Author_Institution
    Technical University of Munich, Munich, West Germany
  • Volume
    30
  • Issue
    1
  • fYear
    1985
  • fDate
    1/1/1985 12:00:00 AM
  • Firstpage
    78
  • Lastpage
    80
  • Abstract
    Two new theorems and two corollaries are presented which give sufficient conditions for a polynomial to have all its roots inside the unit circle. These results unify and extend certain earlier stability tests for discrete time systems. The significance of the new results is illustrated by a couple of examples.
  • Keywords
    Poles and zeros, linear systems; Stability, linear systems; Delay effects; Delay lines; Delay systems; Feedback; Linear systems; Modules (abstract algebra); 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.1985.1103792
  • Filename
    1103792
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=847474