• DocumentCode
    3085325
  • Title

    On the number of unstable equilibria of a class of nonlinear systems

  • Author

    Luxemburg, L.A. ; Huang, G.

  • Author_Institution
    Texas A&M University, College Station, TX
  • Volume
    26
  • fYear
    1987
  • fDate
    9-11 Dec. 1987
  • Firstpage
    889
  • Lastpage
    894
  • Abstract
    New Results on the stability region of a class of nonlinear system and the number of equilibrium points on its boundary are presented in this paper. New concepts such as general position of and regularity of stability regions, are developed. Based on these two conditions. together with the general topological arguments, the power bound and upper bound on the number of unstable equilibrium points are obtained. These bounds can be used to estimate the computational load required to construct the stability boundary.
  • Keywords
    Control systems; Nonlinear systems; Stability;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control, 1987. 26th IEEE Conference on
  • Conference_Location
    Los Angeles, California, USA
  • Type

    conf

  • DOI
    10.1109/CDC.1987.272521
  • Filename
    4049398
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3085325