• DocumentCode
    3663756
  • Title

    Positive fractional nonlinear systems and their stability

  • Author

    Tadeusz Kaczorek

  • Author_Institution
    Faculty of Electrical Engineering, Bialystok University of Technology, Bialystok, Poland
  • fYear
    2015
  • Firstpage
    306
  • Lastpage
    308
  • Abstract
    The conditions for positivity and stability of a class of fractional nonlinear continuous-time systems are established. It is assumed that the nonlinear vector function is continuous, satisfies the Lipschitz condition and the linear part is described by a Metzler matrix. Using an extension of the Lyapunov method sufficient conditions for the stability are derived.
  • Keywords
    "Linear systems","Nonlinear systems","Asymptotic stability","Stability analysis","Sufficient conditions","Numerical stability","Approximation methods"
  • Publisher
    ieee
  • Conference_Titel
    Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
  • Type

    conf

  • DOI
    10.1109/MMAR.2015.7283892
  • Filename
    7283892