Fixed-time event-triggered pinning synchronization of complex network via aperiodically intermittent control

This paper studies the fixed-time event-triggered pinning synchronization problem for complex network using aperiodic intermittent control. A novel fixed-time stability lemma with aperiodic intermittent characteristic is first proposed. By designing appropriate event-triggered aperiodic intermittent pinning controller (ETAIPC) based on the average control rate, several conditions are derived to ensure the fixed-time synchronization. The upper bound of setting-time is independent of any initial values and only concerns with design parameters, network size and node dimension. A simple to execute selection algorithm is adopted to renew the pinning node set. The Zeno behavior is also excluded through a rigorous theoretical analysis. Simulation examples are employed to demonstrate the efficacy of the obtained method.