Distributed Adaptive Prescribed-Time Pinning Synchronization Control for Complex Networks With Event-Triggered Coupling

This paper investigates the distributed adaptive prescribed-time (PT) pinning synchronization of complex networks (CNs) under event-triggered coupling communication strategies. In contrast to existing PT synchronization schemes that rely on global information, the proposed synchronization protocols for CNs are fully distributed, i.e., the pinning synchronization of CNs is achieved within a prescribed time without using any global information. To this end, both edges-based and nodes-based distributed adaptive update laws are designed to adjust the time-varying coupling strengths. Then, the all-edges-based, partial-edges-based, and node-based event-triggered PT strategies are proposed to realize synchronization while saving coupling communication resources. Furthermore, Zeno behavior is excluded. Finally, numerical simulations are provided to demonstrate the effectiveness of the proposed results.