• DocumentCode
    1366387
  • Title

    Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays

  • Author

    Gao, Huijun ; Fei, Zhongyang ; Lam, James ; Du, Baozhu

  • Author_Institution
    Inst. of Intell. Control & Syst., Harbin Inst. of Technol., Harbin, China
  • Volume
    56
  • Issue
    1
  • fYear
    2011
  • Firstpage
    223
  • Lastpage
    229
  • Abstract
    This technical note studies the problem of exponential estimates for Markovian jump systems with mode-dependent interval time-varying delays. A novel Lyapunov-Krasovskii functional (LKF) is constructed with the idea of delay partitioning, and a less conservative exponential estimate criterion is obtained based on the new LKF. Illustrative examples are provided to show the effectiveness of the proposed results.
  • Keywords
    Lyapunov methods; Markov processes; delays; exponential distribution; time-varying systems; LKF; Lyapunov-Krasovskii functional; Markovian jump system; exponential estimation; mode-dependent interval time-varying delay; Delay; Delay effects; Numerical stability; Stability criteria; Symmetric matrices; Time varying systems; Delay partitioning; Markovian jump systems; exponential estimates; mode-dependent time delays;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.2010.2090575
  • Filename
    5617217