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Event-based exponential synchronization of complex networks

机译:复杂网络的基于事件的指数同步

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摘要

In this paper, we consider exponential synchronization of complex networks. The information diffusions between nodes are driven by properly defined events. By employing the M-matrix theory, algebraic graph theory and the Lyapunov method, two kinds of distributed event-triggering laws are designed, which avoid continuous communications between nodes. Then, several criteria that ensure the event-based exponential synchronization are presented, and the exponential convergence rates are obtained as well. Furthermore, we prove that Zeno behavior of the event-triggering laws can be excluded before synchronization being achieved, that is, the lower bounds of inter-event times are strictly positive. Finally, a simulation example is provided to illustrate the effectiveness of theoretical analysis.
机译:在本文中,我们考虑复杂网络的指数同步。节点之间的信息传播是由适当定义的事件驱动的。利用M矩阵理论,代数图论和Lyapunov方法,设计了两种分布式事件触发律,避免了节点之间的连续通信。然后,提出了几种确保基于事件的指数同步的准则,并获得了指数收敛速度。此外,我们证明了在实现同步之前可以排除事件触发律的芝诺行为,即事件间时间的下界严格为正。最后,提供了一个仿真实例来说明理论分析的有效性。

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