• DocumentCode
    1187357
  • Title

    A synthesis of a nonlinear discrete-time system having a periodic solution

  • Author

    Hirai, Kazumasa ; Chinen, Hideyuki

  • Volume
    29
  • Issue
    8
  • fYear
    1982
  • fDate
    8/1/1982 12:00:00 AM
  • Firstpage
    574
  • Lastpage
    577
  • Abstract
    In this paper a method of synthesis of a nonlinear discrete-time system having a periodic solution is investigated. Firstly, a system having a hypersurface, to which the solution trajectory starting from any initial point in the state space tends as time increases, is determined. Then, some conditions that the trajectory moves with a given period on this hypersurface are obtained. Finally, by considering the additional conditions, the system equation is determined. Some examples are shown.
  • Keywords
    Nonlinear systems; Bismuth; Circuits and systems; Continuous time systems; Discrete time systems; Nonlinear equations; State-space methods; Steady-state; Symmetric matrices; Systems engineering and theory;
  • fLanguage
    English
  • Journal_Title
    Circuits and Systems, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0098-4094
  • Type

    jour

  • DOI
    10.1109/TCS.1982.1085182
  • Filename
    1085182