• DocumentCode
    3413260
  • 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
    6
  • fYear
    2001
  • fDate
    2001
  • Firstpage
    4200
  • 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; matrix algebra; Schur stable matrix; asymptotic stability; discrete-time systems; limit trajectories; linear systems; saturation function; Asymptotic stability; Circuits; Control nonlinearities; Control systems; Linear systems; Neural networks; Nonlinear control systems; Stability analysis; Sufficient conditions; Transmission line matrix methods;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    American Control Conference, 2001. Proceedings of the 2001
  • Conference_Location
    Arlington, VA
  • ISSN
    0743-1619
  • Print_ISBN
    0-7803-6495-3
  • Type

    conf

  • DOI
    10.1109/ACC.2001.945635
  • Filename
    945635
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3413260