• DocumentCode
    775801
  • Title

    A new test for strict positive realness

  • Author

    Anderson, Brian D O ; Mansour, Mohamed ; Kraus, Frantisek J.

  • Author_Institution
    Dept. of Syst. Eng., Australian Nat. Univ., Canberra, ACT, Australia
  • Volume
    42
  • Issue
    4
  • fYear
    1995
  • fDate
    4/1/1995 12:00:00 AM
  • Firstpage
    226
  • Lastpage
    229
  • Abstract
    Suppose w(s)=p(s)/q(s) is a real rational function, with p(s), q(s) polynomials. This paper presents a test for the strict positive realness of w(-) expressed in terms of the values assumed by p(s), q(s) at a finite set of points s=jωi, i=0,...,N, ω0=0 and ωN=∞
  • Keywords
    control theory; discrete time systems; polynomials; stability; transfer functions; Lyapunov functions; discrete time system; interpolation; polynomials; real rational functions; stability; strict positive realness; Adaptive systems; Australia; Frequency; Polynomials; Robustness; Stability; Sufficient conditions; Systems engineering and theory; Testing; Transfer functions;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.382479
  • Filename
    382479
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=775801