• DocumentCode
    1198450
  • Title

    Stability of a set of multivariate complex polynomials with coefficients varying in diamond domain

  • Author

    Shi, Y.Q. ; Zhou, S.F.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Newark Inst. of Technol., NJ, USA
  • Volume
    39
  • Issue
    8
  • fYear
    1992
  • fDate
    8/1/1992 12:00:00 AM
  • Firstpage
    683
  • Lastpage
    688
  • Abstract
    Recently, attention has been focused on the (open left half plane) stability of a family of polynomials with complex coefficients with their real and imaginary parts each varying in a diamond. It has been concluded that the stability of a diamond family of polynomials is equivalent to the stability of the specific 16-edge polynomials of the diamond. This result is extended to the n-variate case. It is proved that the scattering Hurwitz property of the certain 16n diamond edge polynomials can guarantee the scattering Hurwitz property of the whole diamond family of n-variate complex polynomials
  • Keywords
    control system analysis; polynomials; signal processing; stability; complex coefficients; diamond domain; multivariate complex polynomials; n-variate case; scattering Hurwitz property; stability; Chaos; Circuits; Filtering theory; Multidimensional systems; Passive filters; Polynomials; Power electronics; Regulators; Robust stability; Scattering;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.168930
  • Filename
    168930
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1198450