H∞ stochastic synchronization for master-slave semi-Markovian switching system via sliding mode control

In this article, synchronization problem of master–slave system with phase-type semi-Markovian switching is investigated via sliding mode control scheme. By utilizing a supplementary variable technique and a plant transformation, the master–slave semi-Markovian switching system can be equivalently expressed as its associated Markovian switching system. Then an integral sliding surface is constructed to guarantee stochastic synchronization of master–slave semi-Markovian switching system, and the suitable controller is synthesized to ensure that the trajectory of the closed-loop error system can be driven onto the prescribed sliding mode surface. Finally, numerical simulations are presented to show the effectiveness of the proposed sliding-mode design scheme. © 2015 Wiley Periodicals, Inc. Complexity, 2015

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