Practical Fixed-Time Synchronization of Multilayer Networks via Intermittent Event-Triggered Control

In this article, the practical fixed-time synchronization (PFIXTS) problem of multilayer complex networks (CNs) is investigated based on an intermittent event-triggered control (IE-TC) strategy. Under a new framework of intermittent control (IC), a practical fixed-time stability lemma is proposed. In addition, the conservatism of the results is reduced resulting from the use of average control rate (ACR) for IC. Based on the practical fixed-time stability lemma, a new theorem is developed to achieve the PFIXTS for multilayer CNs, which can further reduce the energy consumption of communication and save resources. Moreover, the emergence of Zeno behavior in the IE-TC strategy is excluded. Finally, the effectiveness of the results is verified by numerical simulations.