Adaptive synchronization in an array of linearly coupled neural networks with reaction–diffusion terms and time delays

Adaptive synchronization in an array of linearly coupled neural networks with reaction–diffusion terms and time delays
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DOI:
10.1016/j.cnsns.2012.02.020
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发表时间:
2012-10
影响因子:
3.9
通讯作者:
Kai Wang;Z. Teng;Haijun Jiang
Kai Wang;Z. Teng;Haijun Jiang
中科院分区:
数学2区
文献类型:
--
作者:
Kai Wang;Z. Teng;Haijun Jiang

文献摘要

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本文讨论了一类具有反应扩散项和时滞的线性耦合神经网络阵列的自适应同步问题。基于泛函微分方程的LaSalle不变原理和自适应反馈控制技术,得到了此类系统自适应同步的充分条件.最后,通过数值算例验证了该同步方法的有效性.
In this paper, the adaptive synchronization in an array of linearly coupled neural networks with reaction–diffusion terms and time delays is discussed. Based on the LaSalle invariant principle of functional differential equations and the adaptive feedback control technique, some sufficient conditions for adaptive synchronization of such a system are obtained. Finally, a numerical example is given to show the effectiveness of the proposed synchronization method.