• DocumentCode
    12059
  • Title

    Brief paper: new results on stability analysis for neutral stochastic linear system

  • Author

    Huabin Chen

  • Author_Institution
    Dept. of Math., Nanchang Univ., Nanchang, China
  • Volume
    7
  • Issue
    13
  • fYear
    2013
  • fDate
    September 5 2013
  • Firstpage
    1753
  • Lastpage
    1764
  • Abstract
    In this study, the problem for the robustly exponential stability in mean square moment of uncertain neutral stochastic linear system with mixed time-varying delays is considered. By constructing an augmented Lyapunov-Krasovskii functional and utilising a convex polyhedron method, some new delay-dependent exponential stability criteria for such system are established in forms of linear matrix inequalities, which have less conservatism. Finally, three illustrative numerical examples are given to show the effectiveness of the obtained results.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; linear systems; neurocontrollers; robust control; stability criteria; stochastic systems; uncertain systems; augmented Lyapunov-Krasovskii functional; convex polyhedron method; delay-dependent exponential stability criteria; linear matrix inequalities; mean square moment; mixed time-varying delays; robustly exponential stability; stability analysis; uncertain neutral stochastic linear system;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2013.0008
  • Filename
    6601044