• DocumentCode
    836260
  • Title

    On nonexistence of limit cycles in interconnected systems

  • Author

    Skar, S.J. ; Miller, R.K. ; Michel, A.N.

  • Author_Institution
    Iowa State University, Ames, IA, USA
  • Volume
    26
  • Issue
    3
  • fYear
    1981
  • fDate
    6/1/1981 12:00:00 AM
  • Firstpage
    669
  • Lastpage
    676
  • Abstract
    In this paper we establish conditions which ensure the nonexistence of limit cycles in complex dynamical systems. We consider those types of systems which can be viewed as an interconnection of several simpler subsystems. Our results are phrased in terms of the qualitative properties of the free subsystems and in terms of the system interconnecting structure, and they yield easily interpreted graphical criteria for the nonexistence of limit cycles in interconnected systems.
  • Keywords
    Interconnected systems; Limit cycles; Difference equations; Differential equations; Integral equations; Integrodifferential equations; Interconnected systems; Large-scale systems; Limit-cycles; Mathematics; Stability; Stochastic systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1981.1102710
  • Filename
    1102710