Event-Driven Synchronization of Lur'e System Subject to Cyber Attack

This paper studies event-driven synchronization control problem for chaotic Lur'e system with cyber attack. Firstly, In order to save network bandwidth resources, the event-driven scheme is employed to determine whether the sampled state should be transmitted to the controller. Secondly, a synchronization error model is designed to describe the master-slave synchronization system with event-driven scheme and cyber attack. Thirdly, based on Lyapunov functional approach, sufficient conditions for stabilization are derived which can ensure synchronization of the master system and slave system; particularly, a co-designed approach of controller and the event-driven matrix is obtained using the above stability condition. Lastly, a numerical example is presented to illustrate the effectiveness of the proposed approach.