• DocumentCode
    1194498
  • Title

    Stability and the matrix Lyapunov equation for discrete 2-dimensional systems

  • Author

    Anderson, Brian D O ; Agathoklis, Panajotis ; Jury, E.I. ; Mansour, M.

  • Volume
    33
  • Issue
    3
  • fYear
    1986
  • fDate
    3/1/1986 12:00:00 AM
  • Firstpage
    261
  • Lastpage
    267
  • Abstract
    The stability of two-dimensional, linear, discrete systems is examined using the 2-D matrix Lyapunov equation. While the existence of a positive definite solution pair to the 2-D Lyapunov equation is sufficient for stability, the paper proves that such existence is not necessary for stability, disproving a long-standing conjecture.
  • Keywords
    Discrete-time systems; General circuits and systems; Lyapunov matrix equations; Lyapunov methods, linear systems; Multidimensional (n-D) system; Automatic control; Continuous time systems; Equations; Helium; Industrial electronics; Polynomials; Stability; Sufficient conditions; Systems engineering and theory; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1986.1085912
  • Filename
    1085912
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1194498