• DocumentCode
    1274650
  • Title

    Exponential stability of switched systems with interval time-varying delay

  • Author

    Sun, Y.G. ; Wang, Lingfeng ; Xie, Guoqiang

  • Author_Institution
    Sch. of Math. Sci., Qufu Normal Univ., Qufu, China
  • Volume
    3
  • Issue
    8
  • fYear
    2009
  • fDate
    8/1/2009 12:00:00 AM
  • Firstpage
    1033
  • Lastpage
    1040
  • Abstract
    By using the average dwell time approach, we identify a class of switching signals to guarantee exponential stability and L 2 gain of the switched linear system with interval time-varying delay excluding zero. By taking both the lower bound and upper bound of delay into consideration in the chosen Lyapunov function, several new stability criteria are presented in terms of linear matrix inequalities. Compared with some results in the literature, it is theoretically established that our results are less restrictive.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; linear systems; time-varying systems; Lyapunov function; average dwell time approach; exponential stability; interval time-varying delay; linear matrix inequality; stability criteria; switched linear system; switched systems; switching signals;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2008.0162
  • Filename
    5186340
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1274650