Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks
Decentralized Adaptive Pinning Control for Cluster Synchronization of Complex Dynamical Networks
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DOI：
10.1109/tsmcb.2012.2202647
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发表时间：
2013-02
影响因子：
11.8
通讯作者：
Housheng Su;Zhihai Rong;Michael Z. Q. Chen;Xiaofan Wang;Guanrong Chen;Hongwei Wang
中科院分区：
文献类型：
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作者：
Housheng Su;Zhihai Rong;Michael Z. Q. Chen;Xiaofan Wang;Guanrong Chen;Hongwei Wang
在本文中，我们研究了使用分散自适应策略的无向复杂动态网络簇同步的钉扎控制。与大多数现有的有或无自适应策略的钉扎控制算法需要底层网络的全局信息，如整个网络的耦合矩阵的特征值或集中式自适应控制方案不同，本文提出了一种新的基于耦合强度和反馈增益的局部自适应策略的分布式无向网络簇同步自适应钉扎控制方案。通过在每个节点上引入这种局部自适应策略，我们证明了网络可以在弱耦合强度和小反馈增益的情况下进行同步。最后，我们给出了一些仿真来验证和说明理论结果。
In this brief, we investigate pinning control for cluster synchronization of undirected complex dynamical networks using a decentralized adaptive strategy. Unlike most existing pinning-control algorithms with or without an adaptive strategy, which require global information of the underlying network such as the eigenvalues of the coupling matrix of the whole network or a centralized adaptive control scheme, we propose a novel decentralized adaptive pinning-control scheme for cluster synchronization of undirected networks using a local adaptive strategy on both coupling strengths and feedback gains. By introducing this local adaptive strategy on each node, we show that the network can synchronize using weak coupling strengths and small feedback gains. Finally, we present some simulations to verify and illustrate the theoretical results.