• DocumentCode
    851865
  • Title

    A Lyapunov function of two-dimensional linear systems

  • Author

    Mahgoub, H. ; Carroll, R.

  • Author_Institution
    George Washington University, Washington, D.C., USA
  • Volume
    31
  • Issue
    2
  • fYear
    1986
  • fDate
    2/1/1986 12:00:00 AM
  • Firstpage
    170
  • Lastpage
    172
  • Abstract
    In this note a Lyapunov function for a 2-D time invariant discrete linear system is introduced, using the 2-D system model given by Roesser [1]. The Lyapunov function may be used to investigate the asymptotic stability of the 2-D system. Previous work dealing with asymptotic stability of 2-D systems [3]-[5] is based upon the location of roots of the characteristic polynomial in the closed polydisk \\overline {U}^{2} .
  • Keywords
    Asymptotic stability, linear systems; Discrete-time systems; Lyapunov methods, linear systems; Multidimensional (n-D) system; Asymptotic stability; Boundary conditions; Computer science; Equations; Linear systems; Lyapunov method; Polynomials; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1986.1104224
  • Filename
    1104224
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=851865