• DocumentCode
    2956628
  • Title

    An Extension Result on Common Quadratic Lyapunov Functions

  • Author

    Wen, Yongge ; Zhao, Yongchi

  • Author_Institution
    Sch. of Math. & Comput. Sci., Mianyang Normal Univ., Mianyang, China
  • fYear
    2011
  • fDate
    30-31 July 2011
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper, two strong common quadratic Lyapunov functions(CQLF) is presented for sets of linear time-invariant time. We prove strictly diagonally dominant negative matrix and real symmetric negative matrix as stable dynamical systems which is exists solution of CQLF, and numerical results are given to illustrate derived results.
  • Keywords
    Lyapunov methods; functions; linear systems; matrix algebra; stability; time-varying systems; common quadratic Lyapunov functions; diagonally dominant negative matrix; real symmetric negative matrix; stable dynamical system; switched linear time-invariant system; Asymptotic stability; Lyapunov methods; Stability analysis; Sufficient conditions; Switched systems; Switches; Symmetric matrices;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Control, Automation and Systems Engineering (CASE), 2011 International Conference on
  • Conference_Location
    Singapore
  • Print_ISBN
    978-1-4577-0859-6
  • Type

    conf

  • DOI
    10.1109/ICCASE.2011.5997799
  • Filename
    5997799
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2956628