Self-Triggered Impulsive Control for Exponential Synchronization of Complex Networks Subject to Cyber Attacks

The exponential synchronization in mean square for complex networks by using two self-triggered impulsive control mechanisms under denial-of-service (DoS) and deception attacks is studied in this paper. These proposed control mechanisms include both static and dynamic forms. Meanwhile, under these control mechanisms, Zeno behavior is effectively avoided, which contributes to improved system stability. Additionally, two independent Bernoulli random sequences are introduced for integrating the denial-of-service (DoS) and deception attacks into a common modeling structure. Further, sufficient conditions for achieving exponential stability in mean square are derived by constructing the Lyapunov functional. Ultimately, the reliability and accuracy of the derived results are validated through simulation experiments. It is observed from the numerical experiments that dynamic self-triggered control enables more efficient utilization of the communication resources.