• DocumentCode
    2829424
  • Title

    Construction of Lyapunov functions for a class of nonlinear dynamical systems

  • Author

    Ohta, Y. ; Gong, L. ; Imanishi, H. ; Haneda, H.

  • Author_Institution
    Dept. of Electron. Eng., Kobe Univ., Japan
  • fYear
    1991
  • fDate
    11-14 Jun 1991
  • Firstpage
    872
  • Abstract
    A problem of constructing Lyapunov functions for nonlinear dynamical systems is considered. A method to construct the Lyapunov function via the construction of a polytope is proposed. The requirement that the polytope be balanced, which was assumed in previous analyses, is removed. This improvement reduces the conservatism in the stability analysis of nonlinear systems. An algorithm to construct a polytope is proposed. The authors give an example to demonstrate the usefulness of the result
  • Keywords
    Lyapunov methods; nonlinear systems; stability; Lyapunov functions construction; nonlinear dynamical systems; polytope construction; stability analysis; Joining processes; Linear systems; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Stability analysis; Stability criteria;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Circuits and Systems, 1991., IEEE International Sympoisum on
  • Print_ISBN
    0-7803-0050-5
  • Type

    conf

  • DOI
    10.1109/ISCAS.1991.176502
  • Filename
    176502
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2829424