Quasi-synchronization of linearly coupled dynamical networks with directed structure via decentralized event-triggered diffusions
Zongzong Lin, Wenlian Lu, Tianping Chen · 2016
In this paper, we investigate the quasi-synchronization problem of linearly coupled dynamical systems with directed topology structure via event triggered coupling configurations. These decentralized principles employ the states of each node's neighborhoods at event-triggered time to implement the diffusion term on this node. By the criteria of the next triggered time, we prove that the coupled system can reach quasi-synchronization, namely, the differences between nodes below a preassigned small value by both the continuous-time monitoring and discrete-time monitoring strategies. We consider directed graph topology which can be strongly connected or even has a spanning tree, and also prove that the Zeno behavior can be excluded in these criteria. We provide a numerical example to illustrate the effectiveness of the theoretical results.