• DocumentCode
    729381
  • Title

    Positivity and stability of discrete-time nonlinear systems

  • Author

    Kaczorek, Tadeusz

  • Author_Institution
    Fac. of Electr. Eng., Bialystok Univ. of Technol., Bialystok, Poland
  • fYear
    2015
  • fDate
    24-26 June 2015
  • Firstpage
    156
  • Lastpage
    159
  • Abstract
    The positivity and asymptotic stability of the discrete-time nonlinear systems are addressed. Necessary and sufficient conditions for the positivity of the systems and sufficient conditions for asymptotic stability of the positive systems are established. The proposed stability tests are based on Lyapunov method. The effectiveness of the tests are demonstrated on examples.
  • Keywords
    Lyapunov methods; asymptotic stability; discrete time systems; nonlinear systems; Lyapunov method; asymptotic stability; discrete-time nonlinear system; positivity; Asymptotic stability; Linear systems; Lyapunov methods; Nonlinear systems; Stability analysis; Sufficient conditions; Time-varying systems; Lyapunov method; asymptotic stability; discrete-time; nonlinear; positive;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Cybernetics (CYBCONF), 2015 IEEE 2nd International Conference on
  • Conference_Location
    Gdynia
  • Print_ISBN
    978-1-4799-8320-9
  • Type

    conf

  • DOI
    10.1109/CYBConf.2015.7175924
  • Filename
    7175924