Adaptive event-driven synchronisation control for Lur'e chaotic systems facing actuator faults subject to hybrid attacks

This work examines the problem of adaptive event-triggered synchronization for discrete-time Lur'e systems subjected to actuator faults and hybrid cyber-attacks. An adaptive event-triggering framework is developed to mitigate the influence of these disruptions while simultaneously lowering communication traffic over constrained networks. The proposed design incorporates a Lyapunov-Krasovskii functional to derive synchronization conditions that guarantee the asymptotic stability of the resulting error dynamics. A numerical study based on the discrete-time Chua's circuit is included to illustrate the performance and robustness of the developed control strategy.