• DocumentCode
    770706
  • Title

    On the Markov stability criterion for discrete systems

  • Author

    Mansour, M. ; Anderson, B.D.O.

  • Author_Institution
    Dept. of Autom. Control, Swiss Federal Inst. of Technol., Zurich, Switzerland
  • Volume
    37
  • Issue
    12
  • fYear
    1990
  • fDate
    12/1/1990 12:00:00 AM
  • Firstpage
    1576
  • Lastpage
    1578
  • Abstract
    It is shown that the Markov stability criterion for discrete systems developed by H. Nour-Eldin (1971) can be simplified for n even, to a positivity test of the Hankel matrix S of low dimension m=n/2, and to a positivity test of certain linear combinations of the coefficients obtained through bilinear transformation. For n odd, the polynomial zf(z) is considered instead of f(z)
  • Keywords
    Markov processes; discrete systems; matrix algebra; polynomials; stability criteria; Hankel matrix; Markov stability criterion; bilinear transformation; coefficients; discrete systems; linear combinations; polynomial; Chebyshev approximation; Circuits and systems; Continuous time systems; Polynomials; Stability criteria; Sufficient conditions; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.101283
  • Filename
    101283
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=770706