Event-Triggered Impulsive Control for Complex Networks under Stochastic Deception Attacks

This article studies exponential synchronization of complex networks under deception attacks via event-triggered impulsive control. A new event-triggered mechanism is proposed to avoid Zeno behavior based on the topology of the networks and the Lyapunov function of the subsystem. Using a combination of the Lyapunov method and graph theory, several criteria for synchronization of complex networks under attacks are given, which are related to the event-triggered parameters, the topology of the network, and the attack signal sent by enemies. Given the prevalence of delays, we also extend the obtained results to delayed deception attacks, where malicious attackers modify state data from past moments. Finally, the theory applies to circuit systems under deception attacks and delayed deception attacks, respectively, and numerical simulations are given to verify the effectiveness and practicality of our results.