• DocumentCode
    954939
  • Title

    Quadratic stability of a class of switched nonlinear systems

  • Author

    Zhao, Jun ; Dimirovski, Georgi M.

  • Author_Institution
    Dept. of Electron. Eng., City Univ. of Hong Kong, Kowloon, China
  • Volume
    49
  • Issue
    4
  • fYear
    2004
  • fDate
    4/1/2004 12:00:00 AM
  • Firstpage
    574
  • Lastpage
    578
  • Abstract
    Quadratic stability of a class of switched nonlinear systems is studied in this note. We first transform quadratic stability problem into an equivalent nonlinear programming problem. Then, we derive a necessary and sufficient condition for quadratic stability of this class of switched systems by using Karush-Kuhn-Tucker condition for nonlinear programming problems. The necessary and sufficient condition is given in terms of the strict completeness of a certain set of functions on a subset of the state space, which is much easier to check.
  • Keywords
    nonlinear control systems; nonlinear programming; stability; time-varying systems; Karush-Kuhn-Tucker condition; dynamic systems; function completeness; nonlinear programming; quadratic stability; state space; switched nonlinear systems; Automatic control; Control systems; Lyapunov method; Nonlinear systems; Power system dynamics; Quadratic programming; Stability; State-space methods; Sufficient conditions; Switched systems;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2004.825611
  • Filename
    1284720
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=954939