• DocumentCode
    1671046
  • Title

    On the necessary and sufficient conditions for the very strict Hurwitz property of a 2-D characteristic polynomial

  • Author

    Agathoklis, P. ; Jury, E.I. ; Mansour, M.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
  • fYear
    1989
  • Firstpage
    1800
  • Abstract
    Necessary and sufficient conditions for the bivariate characteristic polynomial of a matrix to be a very strict Hurwitz polynomial (VSHP) are presented. These conditions are based on solving the Lyapunov equation for 2-D continuous systems using the Kronecker product and lead a simple test for the VSHP property. It requires testing only the eigenvalues of three stable matrices, which is simpler than the existing polynomial tests
  • Keywords
    Lyapunov methods; matrix algebra; polynomials; 2D continuous systems; Kronecker product; Lyapunov equation; bivariate characteristic polynomial; necessary/sufficient conditions; stable matrices; two dimensional polynomials; very strict Hurwitz property; Automatic control; Continuous time systems; Eigenvalues and eigenfunctions; Equations; Frequency dependence; Frequency domain analysis; Polynomials; Stability analysis; Sufficient conditions; System testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1989., IEEE International Symposium on
  • Conference_Location
    Portland, OR
  • Type

    conf

  • DOI
    10.1109/ISCAS.1989.100716
  • Filename
    100716
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1671046