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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2090575
