• DocumentCode
    1500482
  • Title

    A complete stability analysis of planar discrete-time linear systems under saturation

  • Author

    Hu, Tingshu ; Lin, Zongli

  • Author_Institution
    Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
  • Volume
    48
  • Issue
    6
  • fYear
    2001
  • fDate
    6/1/2001 12:00:00 AM
  • Firstpage
    710
  • Lastpage
    725
  • Abstract
    A complete stability analysis is performed on a planar discrete-time system of the form x(k+1)=sat(Ax(k)), where A is a Schur stable matrix and sat is the saturation function. Necessary and sufficient conditions for the system to be globally asymptotically stable are given. In the process of establishing these conditions, the behaviors of the trajectories are examined in detail
  • Keywords
    asymptotic stability; discrete time systems; linear systems; Schur stable matrix; globally asymptotically stable; planar discrete-time linear systems; saturation; stability analysis; trajectories; Circuit stability; Control nonlinearities; Control systems; Digital filters; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    1057-7122
  • Type

    jour

  • DOI
    10.1109/81.928154
  • Filename
    928154
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1500482