Robust global synchronization of complex networks with neutral-type delayed nodes

Robust global synchronization of complex networks with neutral-type delayed nodes
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具有中性型延迟节点的复杂网络的鲁棒全局同步

DOI:
10.1016/j.amc.2010.01.075
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发表时间:
2010-04
影响因子:
4
通讯作者:
Lu, Jinjun
Lu, Jinjun
中科院分区:
数学2区
文献类型:
--
作者:
Zhang, Yijun;Xu, Shengyuan;Chu, Yuming;Lu, Jinjun

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本文研究了一类具有时变时滞耦合的复杂网络的全局指数鲁棒同步问题。网络中的每个节点由一类用中立型非线性时滞微分方程描述的时滞神经网络组成。由于模型误差在实际应用中普遍存在,所考虑的模型中包含参数不确定性。利用Lyapunov泛函方法和Kronecker积的一些性质,得到了保证复杂网络鲁棒全局指数同步的充分条件。最后给出了一个算例,说明了该方法的有效性。
In this paper, the problems of robust global exponential synchronization for a class of complex networks with time-varying delayed couplings are considered. Each node in the network is composed of a class of delayed neural networks described by a nonlinear delay differential equation of neutral-type. Since model errors commonly exist in practical applications, the parameter uncertainties are involved in the considered model. Sufficient conditions that ensure the complex networks to be robustly globally exponentially synchronized are obtained by using the Lyapunov functional method and some properties of Kronecker product. An illustrative example is presented to show the effectiveness of the proposed approach.
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