• DocumentCode
    814137
  • Title

    The Lyapunov equation for n-dimensional discrete systems

  • Author

    Agathoklis, P.

  • Author_Institution
    Dept. of Electr. Eng., Victoria Univ., BC, Canada
  • Volume
    35
  • Issue
    4
  • fYear
    1988
  • fDate
    4/1/1988 12:00:00 AM
  • Firstpage
    448
  • Lastpage
    451
  • Abstract
    The necessary and sufficient conditions for the existence of positive definite solutions to the n-D Lyapunov equation are presented. It is shown that there exist n-D stable systems for which no positive definite solutions to the n-D Lyapunov equation exist. Furthermore, it is pointed out that some results on the 2-D Lyapunov equation cannot be extended to either the three- or higher-dimensional case
  • Keywords
    Lyapunov methods; control system analysis; discrete systems; multidimensional systems; stability; Lyapunov equation; discrete systems; multidimensional systems; n-D equation; necessary and sufficient conditions; positive definite solutions; stable systems; Circuit stability; Circuits and systems; Equations; Multidimensional systems; Polynomials; Sufficient conditions; Symmetric matrices;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/31.1762
  • Filename
    1762
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=814137