论文标题
通过多个有向网络耦合的动态系统中的同步
Synchronization in dynamical systems coupled via multiple directed networks
论文作者
论文摘要
我们研究通过多个有向网络的一组动力系统中的同步和共识。我们表明，即使单个网络中的耦合可能不足以同步系统，但多个网络的组合也会有助于同步。我们说明网络集合同步耦合系统的有效性取决于图形拓扑。特别是，我们表明，如果图总和是一个有向图的图形，其反转包含一个跨度的有向树，则网络同步耦合是否足够强。这是直观的，因为有一个根节点可以通过一组边缘来影响其他节点，其中集合中的每个边缘都位于一个网络中。
We study synchronization and consensus in a group of dynamical systems coupled via multiple directed networks. We show that even though the coupling in a single network may not be sufficient to synchronize the systems, combination of multiple networks can contribute to synchronization. We illustrate how the effectiveness of a collection of networks to synchronize the coupled systems depends on the graph topology. In particular, we show that if the graph sum is a directed graph whose reversal contains a spanning directed tree, then the network synchronizes if the coupling is strong enough. This is intuitive as there is a root node that influence every other node via a set of edges where each edge in the set is in one of the networks.
