• DocumentCode
    1761507
  • Title

    Brief paper: new result on exponential stability for singular systems with two interval time-varying delays

  • Author

    Huabin Chen ; Peng Hu

  • Author_Institution
    Dept. of Math., Nanchang Univ., Nanchang, China
  • Volume
    7
  • Issue
    15
  • fYear
    2013
  • fDate
    October 17 2013
  • Firstpage
    1941
  • Lastpage
    1949
  • Abstract
    This article mainly studies the problem of the exponential stability for singular systems with two interval time-varying delays. By constructing a modified Lyapunov-Krasovskii functional (LKF) and utilising a convex polyhedron method to estimate the derivative of LKF, some new delay-dependent criteria can be established in terms of linear matrix inequalities. Compared with some existing literatures, the novelties in this study are that the needed decisive variables are fewer and the obtained delay-dependent stability criteria are less conservative. Finally, two illustrative numerical examples are given to show the effectiveness of the derived results.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; stability criteria; time-varying systems; LKF; convex polyhedron method; delay-dependent stability criteria; exponential stability; interval time-varying delays; linear matrix inequalities; modified Lyapunov-Krasovskii functional; singular time-delay systems;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2013.0396
  • Filename
    6668556