Synchronization of complex dynamical networks via impulsive control.
Synchronization of complex dynamical networks via impulsive control.
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DOI：
10.1063/1.2803894
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发表时间：
2007-12
期刊：
影响因子：
2.9
通讯作者：
Gang Zhang;Zengrong Liu;Zhongjun Ma
中科院分区：
文献类型：
--
作者：
Gang Zhang;Zengrong Liu;Zhongjun Ma
研究了复杂动态网络的同步问题。基于脉冲微分方程的稳定性理论，提出了一种实现具有未知耦合的复杂动态网络脉冲同步的脉冲控制方案。该同步策略考虑了动态网络中所有节点对网络同步的影响，每个节点对网络同步的影响强度取决于其在网络中的权重。在实际问题中，通过适当地选择网络中节点的权值，只需少量有用节点就可以实现网络同步。以混沌Chua系统作为动态网络的节点，给出了仿真实例，验证了所提出的脉冲控制的有效性。
This paper investigates the problem of synchronization in complex dynamical networks. Based on the stability theory for impulsive differential equations, an impulsive control scheme is proposed to achieve impulsive synchronization for complex dynamical networks with unknown coupling. The synchronization strategy considers the influence of all nodes in the dynamical network and the effect intensity of every node to network synchronization relies on its weight in the network. For practical problems, by choosing appropriately the weights of the nodes in the network, network synchronization can be achieved by only a few useful nodes. Simulated examples are provided by using the chaotic Chua system as nodes of the dynamical network, and the effectiveness of the proposed impulsive control are demonstrated.