Event-Triggered Synchronization Control for Chaotic Lur'e Systems with Time Delays

In this paper, an event-triggered synchronization control scheme is developed for a class of chaotic Lur’ e systems with time delays. A novel Lyapunov-Krasovskii functional (LKF) is designed to extend the sampling period of the systems. Moreover, an improved event-triggered mechanism is constructed to decrease the amounts of communication between controller and sensor, and the numbers of controller updates. Based on the Lyapunov stability theory, it is proved strictly that the chaotic Lur'e systems are asymptotically stable with the proposed controller. Finally, a numerical simulation is presented to illustrate the effectiveness of the event-triggered synchronization control strategy.

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