• DocumentCode
    925421
  • Title

    Algebraic necessary and sufficient conditions for the stability of 2-D discrete systems

  • Author

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

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
  • Volume
    40
  • Issue
    4
  • fYear
    1993
  • fDate
    4/1/1993 12:00:00 AM
  • Firstpage
    251
  • Lastpage
    258
  • Abstract
    Algebraic necessary and sufficient conditions for the stability analysis of 2-D discrete systems are presented. These conditions are based on the frequency-dependent formulation of the Lyapunov equation using Kronecker products. It is shown that these conditions for internal stability of 2-D discrete systems are equivalent to testing the eigenvalues of constant matrices only
  • Keywords
    Lyapunov methods; discrete systems; multidimensional systems; stability; 2D discrete systems; Kronecker products; Lyapunov equation; eigenvalues; frequency-dependent formulation; stability; Circuit stability; Continuous time systems; Digital signal processing; Eigenvalues and eigenfunctions; Equations; Frequency dependence; Polynomials; Stability analysis; Sufficient conditions; Testing;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7130
  • Type

    jour

  • DOI
    10.1109/82.224316
  • Filename
    224316