• DocumentCode
    3701341
  • Title

    On asymptotic quiescent position of nonlinear difference systems with perturbations

  • Author

    Sergey Yu. Kuptsov;Svetlana E. Kuptsova;Uliana P. Zaranik

  • Author_Institution
    St. Petersburg State University, 7/9 Universitetskaya nab., 199034 Russia
  • fYear
    2015
  • Firstpage
    20
  • Lastpage
    22
  • Abstract
    In this paper, we study qualitative properties of solutions of nonlinear systems of difference equations. In particular, we analyze asymptotic behavior of solutions of the systems under perturbations of a certain type. Using methods of Lyapunov functions, we present conditions guaranteeing that the perturbed system has an asymptotic quiescent position.
  • Keywords
    "Difference equations","Differential equations","Trajectory","Asymptotic stability","Nonlinear systems","Stability analysis","Electronic mail"
  • Publisher
    ieee
  • Conference_Titel
    "Stability and Control Processes" in Memory of V.I. Zubov (SCP), 2015 International Conference
  • Type

    conf

  • DOI
    10.1109/SCP.2015.7342041
  • Filename
    7342041