Pinning Impulsive Synchronization of Reaction–Diffusion Neural Networks With Time-Varying Delays
Pinning Impulsive Synchronization of Reaction–Diffusion Neural Networks With Time-Varying Delays
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DOI：
10.1109/tnnls.2016.2518479
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发表时间：
2017-05
影响因子：
10.4
通讯作者：
Xinzhi Liu;Kexue Zhang;W. Xie
中科院分区：
文献类型：
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作者：
Xinzhi Liu;Kexue Zhang;W. Xie
研究了一类具有Dirichlet边界条件的变时滞反应扩散神经网络的指数同步问题。提出了一种新的钉扎脉冲控制器，用于同步具有时变时滞的反应扩散神经网络。利用李雅普诺夫泛函方法，构造了具有大、小时滞的时滞反应扩散神经网络指数同步的充分可验证条件.结果表明，通过对网络中的一小部分神经元进行钉扎脉冲控制，可以实现同步;本文所用的方法也适用于具有Neumann边界条件的反应扩散网络.数值算例验证了理论结果的有效性。
This paper investigates the exponential synchronization of reaction–diffusion neural networks with time-varying delays subject to Dirichlet boundary conditions. A novel type of pinning impulsive controllers is proposed to synchronize the reaction–diffusion neural networks with time-varying delays. By applying the Lyapunov functional method, sufficient verifiable conditions are constructed for the exponential synchronization of delayed reaction–diffusion neural networks with large and small delay sizes. It is shown that synchronization can be realized by pinning impulsive control of a small portion of neurons of the network; the technique used in this paper is also applicable to reaction–diffusion networks with Neumann boundary conditions. Numerical examples are presented to demonstrate the effectiveness of the theoretical results.