具有节点时滞的复杂网络的同步和局部收敛性分析
Synchronization and Local Convergence Analysis of Complex Dynamical Networks with Nodes Delay
摘要: 近年来，由于复杂网络的同步在许多领域有着广泛的应用，因此受到了越来越多的关注。为了分析和揭示具有时滞节点的复杂网络的局部同步的内在机制，本文采用Lyapunov直接法进行理论分析研究。首先，我们采用这种方法研究了具有时滞节点的复杂网络的局部同步，给出了保证网络实现局部同步的充分条件。该判据条件简单，便于在实际网络中应用。然后，通过一个算例验证了主要结果的有效性。
Abstract: In recent years, synchronization of complex networks has received an increasing attention due to their wide applications in many fields. To analyze and reveal the inherent mechanism of local synchronization in the complex networks with delayed nodes, this paper attempts to investigate it by the Lyapunov direct method which can be utilized as a theoretical methodology. First, we investigated local synchronization of complex networks with delayed nodes by this method and obtained some sufficient conditions to guarantee the networks reaching local synchronization. The criterion is very simple and can be readily applied in the real world networks. Then, an example is provided to verify the effectiveness of the main results.
文章引用：慕静文, 高彩霞. 具有节点时滞的复杂网络的同步和局部收敛性分析[J]. 运筹与模糊学, 2018, 8(2): 54-61. https://doi.org/10.12677/ORF.2018.82007

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