Adaptive pinning control of cluster synchronization in complex networks with Lurie-type nonlinear dynamics
Adaptive pinning control of cluster synchronization in complex networks with Lurie-type nonlinear dynamics
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Lurie型非线性动力学复杂网络中簇同步的自适应钉扎控制
DOI：
10.1016/j.neucom.2015.12.024
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发表时间：
2016-03
期刊：
影响因子：
6
通讯作者：
Nian Xiaohong
中科院分区：
文献类型：
--
作者：
Guo Ling;Pan Huan;Nian Xiaohong
研究了一类具有Lurie型非线性动力学的复杂动力学网络的簇同步问题。借助局部更新律，提出了一种钉扎自适应控制策略来解决网络的簇同步问题。对于具有外部扰动和时滞的网络，给出了几个简单的簇同步判据。首先，建立了无扰动无时滞网络实现簇同步的充分条件。然后，研究了具有外部扰动的网络的簇同步问题。最后，进一步研究了时变时滞网络中的簇同步问题。数值例子验证和说明理论结果。
In this paper,cluster synchronization problem is investigated for a kind of complex dynamical networks with Lurie-type non-linear dynamics. With the aid of a local update law, a pinning adaptive control strategy is proposed to solve the cluster synchronization problem of the networks. Some simple criteria for cluster synchronization are presented for the networks with external disturbances and time delays. Firstly, sufficient conditions are established to realize cluster synchronization of the networks without disturbances and delays. Then, the cluster synchronization problem of the networks with external disturbances i s considered. Finally, the cluster synchronization in the networks with time-varying delays is further studied. Numerical examples are given to verify and illustrate the theoretical results.
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