• DocumentCode
    809772
  • Title

    Decision surface estimate of nonlinear system stability domain by Lie series method

  • Author

    Kormanik, J. ; Li, C.C.

  • Author_Institution
    University of Pittsburg, Pittsburg, PA, USA
  • Volume
    17
  • Issue
    5
  • fYear
    1972
  • fDate
    10/1/1972 12:00:00 AM
  • Firstpage
    666
  • Lastpage
    669
  • Abstract
    The Lie series recursive algorithm for Zubov´s partial differential equation is used to generate two sets of points, where one represents the exact asymptotic stability boundary of an equilibrium state of the nonlinear system under consideration and the other is interior to it. Based on these two sets of data as training samples of two classes, a decision hypersurface can be determined such that it is a close approximation of the asymptotic stability boundary.
  • Keywords
    Asymptotic stability; Decision procedures; Lie series; Lyapunov functions; Nonlinear systems, continuous-time; Pattern recognition; Asymptotic stability; Chemicals; Differential equations; Frequency response; Lyapunov method; NASA; Nonlinear systems; Partial differential equations; Power system dynamics; Senior members;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1972.1100088
  • Filename
    1100088
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=809772