Synchronization of Delayed Complex Networks by Aperiodically Intermittent Hybrid-Dependent Event-Triggered Mechanisms.

This article investigates the synchronization problem of delayed complex networks under aperiodically intermittent control via hybrid-dependent event-triggered mechanisms (ETMs). To reduce communication overhead, an aperiodically intermittent static hybrid-dependent ETM is formulated, where triggering events are strictly confined to work intervals. By incorporating both state and time information into the triggering condition, this hybrid-dependent scheme offers distinct advantages in balancing synchronization performance and triggering frequency. To analyze the system stability under such a control framework, a novel piecewise delayed differential inequality featuring an exponential decay term is established. Based on this inequality, synchronization criteria are derived, and the Zeno phenomenon is rigorously excluded. Furthermore, the approach is extended to a dynamic hybrid-dependent ETM by introducing an internal dynamic variable into the threshold function, thereby further improving resource efficiency. Finally, an illustrative example based on a time-delayed Chua's circuit system is provided to demonstrate the effectiveness and advantages of the proposed approaches.