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

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.

[1]  Shengyuan Xu,et al.  Robust H∞ filtering for uncertain Markovian jump systems with mode-dependent time delays , 2003, IEEE Trans. Autom. Control..

[2]  Orhan Beker,et al.  Fundamental properties of reset control systems , 2004, Autom..

[3]  James Lam,et al.  Exponential filtering for uncertain Markovian jump time-delay systems with nonlinear disturbances , 2004, IEEE Transactions on Circuits and Systems II: Express Briefs.

[4]  Huijun Gao,et al.  Stability analysis for continuous systems with two additive time-varying delay components , 2007, Syst. Control. Lett..

[5]  Jong Hae Kim,et al.  Output feedback robust H∞ control of uncertain fuzzy dynamic systems with time-varying delay , 2000, IEEE Trans. Fuzzy Syst..

[6]  Yuanqing Xia,et al.  On designing of sliding-mode control for stochastic jump systems , 2006, IEEE Transactions on Automatic Control.

[7]  Shengyuan Xu,et al.  Robust stabilization of Markovian delay systems with delay-dependent exponential estimates , 2006, Autom..

[8]  I. Horowitz,et al.  Non-linear design for cost of feedback reduction in systems with large parameter uncertainty † , 1975 .

[9]  K. Loparo,et al.  Stochastic stability properties of jump linear systems , 1992 .

[10]  Yun Zou,et al.  Robust exponential stabilization for Markovian jump systems with mode-dependent input delay , 2007, Autom..

[11]  Hanyong Shao,et al.  New delay-dependent stability criteria for systems with interval delay , 2009, Autom..

[12]  Zidong Wang,et al.  Exponential stability of delayed recurrent neural networks with Markovian jumping parameters , 2006 .

[13]  Huijun Gao,et al.  New results on stabilization of Markovian jump systems with time delay , 2009, Autom..

[14]  Youyi Wang,et al.  Stability analysis and design of reset systems: Theory and an application , 2009, Autom..

[15]  Keith J. Burnham,et al.  On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters , 2002, IEEE Trans. Autom. Control..

[16]  F. Gouaisbaut,et al.  DELAY-DEPENDENT STABILITY ANALYSIS OF LINEAR TIME DELAY SYSTEMS , 2006 .

[17]  Peng Shi,et al.  Control of Markovian jump discrete-time systems with norm bounded uncertainty and unknown delay , 1999, IEEE Trans. Autom. Control..

[18]  V. Borkar,et al.  A unified framework for hybrid control: model and optimal control theory , 1998, IEEE Trans. Autom. Control..

[19]  Onésimo Hernández-Lerma,et al.  Constrained Average Cost Markov Control Processes in Borel Spaces , 2003, SIAM J. Control. Optim..

[20]  José Claudio Geromel,et al.  Output feedback control of Markov jump linear systems in continuous-time , 2000, IEEE Trans. Autom. Control..

[21]  Z. Liu,et al.  Delay-dependent robust stability and H8 control of jump linear systems , 2001 .

[22]  S. Niculescu Delay Effects on Stability: A Robust Control Approach , 2001 .

[23]  Jianqiang Yi,et al.  Worst case control of uncertain jumping systems with multi-state and input delay information , 2006, Inf. Sci..

[24]  Zidong Wang,et al.  Exponential Stabilization of a Class of Stochastic System With Markovian Jump Parameters and Mode-Dependent Mixed Time-Delays , 2010, IEEE Transactions on Automatic Control.