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Delay-range-Dependent Exponential Synchronization of Lur-e Systems with Markovian Switching

Authors: Xia Zhou, Shouming Zhong


The problem of delay-range-dependent exponential synchronization is investigated for Lur-e master-slave systems with delay feedback control and Markovian switching. Using Lyapunov- Krasovskii functional and nonsingular M-matrix method, novel delayrange- dependent exponential synchronization in mean square criterions are established. The systems discussed in this paper is advanced system, and takes all the features of interval systems, Itˆo equations, Markovian switching, time-varying delay, as well as the environmental noise, into account. Finally, an example is given to show the validity of the main result.

Keywords: Synchronization, Markov Chain, Brownian motion, M-matrix, delay-range-dependent, generalized Itō's formula

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