Dynamic event-triggered control for intra/inter-layer synchronization in multi-layer networks

摘要

In this paper, intra-layer synchronization (ALS) and inter-layer synchronization (RLS) of multi-layer networks (MLNs) are studied, where the topology of each layer is different and the inter-layer connection is node-to-node if two layers are connected. Dynamic event-triggered (DET) control is first introduced into the design of synchronization controllers in MLNs to reduce communication frequency. Based on the Lyapunov func-tional method, sufficient conditions for ALS and RLS are strictly derived by designing appropriate DET controllers. It is theoretically verified that the designed DET conditions in MLNs further reduce triggering frequency compared with static event-triggered (SET) conditions, and Zeno phenomenon can be eliminated. Finally, the validity of the theoretical results is illustrated by numerical simulations.(c) 2023 Elsevier B.V. All rights reserved.