• DocumentCode
    1272523
  • Title

    Stability of positive 2-D system described by the Roesser model

  • Author

    Kurek, J.E.

  • Author_Institution
    Instytut Automatyki i Robotyki, Politechnika Warszawska, Warsaw, Poland
  • Volume
    49
  • Issue
    4
  • fYear
    2002
  • fDate
    4/1/2002 12:00:00 AM
  • Firstpage
    531
  • Lastpage
    533
  • Abstract
    The author considers the stability problem for positive two-dimensional systems described by the Roesser model. Necessary and sufficient conditions for system stability and asymptotic stability are given. The conditions for asymptotic stability of the system are very simple, one has to check only eigenvalues of two matrices
  • Keywords
    asymptotic stability; eigenvalues and eigenfunctions; matrix algebra; multidimensional systems; Roesser model; asymptotic stability; eigenvalues; positive 2D system; positive two-dimensional systems; stability problem; system stability; Asymptotic stability; Controllability; Digital filters; Eigenvalues and eigenfunctions; Filtering; Image processing; Partial differential equations; Power generation economics; Sufficient conditions; Two dimensional displays;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.995672
  • Filename
    995672