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

• Published in: IEEE transactions on automatic control Vol. 56; no. 1; pp. 223 - 229
• Main Authors: Huijun Gao, Zhongyang Fei, Lam, James, Baozhu Du
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.01.2011; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Applied sciences; Automatic control; Computer science; control theory; systems; Construction; Control system analysis; Control theory. Systems; Criteria; Delay; Delay effects; Delay partitioning; Estimates; Exact sciences and technology; exponential estimates; Intervals; Markovian jump systems; mode-dependent time delays; Numerical stability; Partitioning; Stability criteria; Symmetric matrices; Time varying systems; Markov process; Markovian system; Delay system; Delay dependent system; exponential estimates; Time dependence; Time varying system; mode-dependent time delays; Markovian jump systems; Time interval; Jump process; Delay time; Jumping; Delay partitioning; Lyapunov function
• ISSN: 0018-9286; 1558-2523
• DOI: 10.1109/TAC.2010.2090575

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.