• DocumentCode
    1985707
  • Title

    Robust multivariate interval strictly positive functions

  • Author

    Shi, Y.Q. ; Zhou, K.

  • Author_Institution
    Dept. of Electr. Eng., New Jersey Inst. of Technol., Newark, NJ, USA
  • fYear
    1989
  • fDate
    14-16 Aug 1989
  • Firstpage
    898
  • Abstract
    Strictly positive (SP) (strictly positive real (SPR)) rational functions form foundations in network realizability theory. Study of boundary implications for the SP (SPR) property of interval rational functions is therefore meaningful. It is proved that the SP (SPR) property of a set of complex (real) N-variable interval rational functions can be implied by the SP (SPR) of its specific 16(2") (16(2n-1)) extreme members. It is also proved that the positive rational (PR) property of a set of complex univariate interval rational functions can be guaranteed by the PR of its certain 32 extreme members
  • Keywords
    network synthesis; polynomials; N-variable interval; boundary implications; complex univariate interval; network realizability theory; rational functions; strictly positive real; Polynomials; Robustness; Scattering;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
  • Conference_Location
    Champaign, IL
  • Type

    conf

  • DOI
    10.1109/MWSCAS.1989.101999
  • Filename
    101999