On pinning synchronization of general coupled networks
On pinning synchronization of general coupled networks
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DOI：
10.1007/s11071-010-9865-5
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发表时间：
2011-06
影响因子：
5.6
通讯作者：
Linying Xiang;Jonathan J. H. Zhu
中科院分区：
文献类型：
--
作者：
Linying Xiang;Jonathan J. H. Zhu
研究了具有钉扎控制的一般耦合网络的同步问题。对于这类一般受控网络，基于Lyapunov方法推导出了一些通用的稳定性判据，这些判据保证了只在一小部分节点上施加反馈控制，整个网络就能被钉在一个同步状态。为了说明和验证，本文分别展示了中国28个卫星频道的一个真实的电视观众网络和一个由混沌系统组成的具有代表性的BA无标度网络。研究发现，对于完全对角内耦合，增加钉扎密度和/或钉扎强度可以提高钉扎稳定性。
The synchronization in general coupled networks subjected to pinning control is investigated. Some generic stability criteria based on the Lyapunov approach are derived for such general controlled networks, which guarantee that the whole network can be pinned to a synchronization state by placing feedback control on only a small fraction of nodes. A real network of television audience flows across 28 satellite channels in China and a representative BA scale-free network composed of chaotic systems are shown, respectively, for illustration and verification. It is found that pinning stability can be improved via increasing pinning density and/or pinning strength for complete diagonal inner coupling.