• DocumentCode
    64116
  • Title

    Delay-dependent exponential stability for neutral stochastic system with multiple time-varying delays

  • Author

    Huabin Chen ; Peng Hu ; Jinjing Wang

  • Author_Institution
    Sch. of Sci., Nanchang Univ., Nanchang, China
  • Volume
    8
  • Issue
    17
  • fYear
    2014
  • fDate
    11 20 2014
  • Firstpage
    2092
  • Lastpage
    2101
  • Abstract
    In this study, by constructing an appropriate Lyapunov-Krasovskii functional, one delay-dependent exponential stability criterion of neutral stochastic system with multiple time-varying delays is obtained in terms of linear matrix inequalities. The significant contributions of this study are that the fewer matrix variables in obtained results are involved and some less computational burdens are imposed. In particular, the obtained results can greatly reduce the conservatism when the multiple time-invariant delays case is considered. Finally, three illustrative numerical examples are given to show the effectiveness of our proposed results.
  • Keywords
    Lyapunov methods; asymptotic stability; delays; functional equations; linear matrix inequalities; stability criteria; stochastic systems; Lyapunov-Krasovskii functional; conservatism reduction; delay-dependent exponential stability criterion; linear matrix inequalities; matrix variables; multiple time-varying delays; neutral stochastic system;
  • fLanguage
    English
  • Journal_Title
    Control Theory & Applications, IET
  • Publisher
    iet
  • ISSN
    1751-8644
  • Type

    jour

  • DOI
    10.1049/iet-cta.2014.0169
  • Filename
    6969744