• DocumentCode
    872211
  • Title

    Optimisation of the Zubov and Ingwerson methods for constructing Lyapunov functions

  • Author

    Hewit, J.R. ; Storey, C.

  • Author_Institution
    Loughborough University of Technology, Department of Mathematics, Loughborough, UK
  • Volume
    3
  • Issue
    5
  • fYear
    1967
  • fDate
    5/1/1967 12:00:00 AM
  • Firstpage
    211
  • Lastpage
    213
  • Abstract
    The Zubov and Ingwerson procedures for constructing Lyapunov functions depend upon an initial choice of some function of the state variables. A direct search procedure is described for obtaining the optimum function, and hence the Lyapunov function of an arbitrary order which gives the best estimate of the region of asymptotic stability. The method is illustrated by an example.
  • Keywords
    mathematics; stability;
  • fLanguage
    English
  • Journal_Title
    Electronics Letters
  • Publisher
    iet
  • ISSN
    0013-5194
  • Type

    jour

  • DOI
    10.1049/el:19670164
  • Filename
    4207221
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=872211