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A New Method for Topology Identification of Complex Dynamical Networks
IEEE Transactions on Cybernetics ( IF 11.8 ) Pub Date : 2019-02-08 , DOI: 10.1109/tcyb.2019.2894838
Shuaibing Zhu , Jin Zhou , Guanrong Chen , Jun-An Lu

Topology identification of complex dynamical networks received extensive attention in the past decade. Most existing studies rely heavily on the linear independence condition (LIC). We find that a critical step in using this condition is not rigorous. Besides, it is difficult to verify this condition. Without regulating the original network, possible identification failure caused by network synchronization cannot be avoided. In this paper, we propose a new method to overcome these shortcomings. We add a regulation mechanism to the original network and construct an auxiliary network consisting of isolated nodes. Along with the outer synchronization between the regulated network and the auxiliary network, we show that the original network can be identified. Our method can avoid identification failure caused by network synchronization. Moreover, we show that there is no need to check the LIC. We finally provide some examples to demonstrate that our method is reliable and has good performances.

中文翻译:

复杂动态网络拓扑识别的新方法

在过去的十年中,复杂的动力学网络的拓扑识别受到了广泛的关注。现有的大多数研究都严重依赖线性独立条件(LIC)。我们发现使用此条件的关键步骤并不严格。此外,很难验证这种情况。如果不规范原始网络,就无法避免由于网络同步而导致的可能的识别失败。在本文中,我们提出了一种克服这些缺点的新方法。我们在原始网络中添加了一种调节机制,并构建了一个由孤立节点组成的辅助网络。连同受控网络和辅助网络之间的外部同步,我们表明可以识别原始网络。我们的方法可以避免由网络同步引起的识别失败。而且,我们表明不需要检查LIC。最后,我们提供一些示例来证明我们的方法可靠且性能良好。
更新日期:2019-02-08
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