• DocumentCode
    809312
  • Title

    Stability and transient behavior of composite nonlinear systems

  • Author

    Araki, Mituhiko ; Kondo, Bunji

  • Author_Institution
    Kyoto University, Kyoto, Japan
  • Volume
    17
  • Issue
    4
  • fYear
    1972
  • fDate
    8/1/1972 12:00:00 AM
  • Firstpage
    537
  • Lastpage
    541
  • Abstract
    A sufficient condition for asymptotic stability in the large is proposed for nonlinear systems. It is applicable if the system in question can be decomposed into subsystems, if appropriate Lyapunov functions are obtained for the subsystems, and if the connections between subsystems have bounded dc gains. It is generally less restrictive than the condition previously presented by Bailey for similar systems. An estimate of transient behavior, together with the stability condition, is also given.
  • Keywords
    Asymptotic stability; Interconnected systems; Lyapunov methods; Nonlinear systems, continuous-time; Asymptotic stability; Automatic control; Control system synthesis; Interconnected systems; Kalman filters; Milling machines; NASA; Nonlinear systems; Power system stability; Power system transients;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100042
  • Filename
    1100042