• DocumentCode
    760302
  • Title

    A comment on the method of the closest unstable equilibrium point in nonlinear stability analysis

  • Author

    Noldus, E. ; Loccufier, M.

  • Author_Institution
    Dept. of Control Eng. & Autom., Ghent Univ., Belgium
  • Volume
    40
  • Issue
    3
  • fYear
    1995
  • fDate
    3/1/1995 12:00:00 AM
  • Firstpage
    497
  • Lastpage
    500
  • Abstract
    A counterexample is presented to a theorem which has been proposed as a theoretical basis for the method of the closest unstable equilibrium point to estimate asymptotic stability regions in nonlinear systems. An additional condition is formulated under which the theorem is valid. Its implications on the applicability of the method are discussed
  • Keywords
    asymptotic stability; nonlinear control systems; nonlinear dynamical systems; asymptotic stability regions; closest unstable equilibrium point; nonlinear stability analysis; nonlinear systems; Asymptotic stability; Automatic control; Level set; Lyapunov method; Nonlinear dynamical systems; Nonlinear systems; Power system stability; Power system transients; Stability analysis; Sufficient conditions;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/9.376067
  • Filename
    376067
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=760302