• DocumentCode
    1852359
  • Title

    Robust Hurwitz stability conditions of polytopes of bivariate polynomials

  • Author

    Yang Xiao ; Unbehauen, R. ; Xiyu Du

  • Author_Institution
    Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing
  • Volume
    5
  • fYear
    1999
  • fDate
    1999
  • Firstpage
    5030
  • Abstract
    The necessary and sufficient conditions of robust Hurwitz stability of polytopes of bivariate polynomials have been established. Since the root domain of bivariate polynomials is in C2, whose dimension is 4, to be different from that of 1-D polynomials, the analysis for robust stability of polytopes of 2-D polynomials is much more complicated than 1-D case. We develop an edge test for robust Hurwitz stability of 2-D polytopes. An example has been given to demonstrate the applicability of our new approach
  • Keywords
    polynomials; robust control; 1D polynomials; 2D polynomials; edge test; necessary and sufficient conditions; polytopes of bivariate polynomials; robust Hurwitz stability conditions; robust stability; root domain; Continuous time systems; Indexing; Information science; Partial differential equations; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Testing; Two dimensional displays;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1999. Proceedings of the 38th IEEE Conference on
  • Conference_Location
    Phoenix, AZ
  • ISSN
    0191-2216
  • Print_ISBN
    0-7803-5250-5
  • Type

    conf

  • DOI
    10.1109/CDC.1999.833346
  • Filename
    833346
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1852359