Distributed Event-Triggered Control for Asymptotic Synchronization of Dynamical Networks

This paper studies the synchronization problem of a dynamical network with event-based communication, where each node communicates to its neighbours only when an event-triggering condition is fulfilled. Firstly, two estimators are introduced into each node, one to estimate its own state, and the other to estimate the average state of its neighbours. Then, with the assistance of the two estimators, a distributed event-triggering rule with a dwell-time is designed such that the network achieves synchronization asymptotically, and meanwhile no Zeno behaviour occurs. The designed event-triggering rule only depends on the information that each node can obtain, and thus can be implemented in a decentralized way. The quantization effects are also considered, and the logarithmic quantizer is used to achieve asymptotic synchronization. Finally, numerical examples are given to show the effectiveness of the proposed results.