Robust synchronization of an array of neural networks with hybrid coupling and mixed time delays.
Robust synchronization of an array of neural networks with hybrid coupling and mixed time delays.
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DOI：
10.1016/j.isatra.2014.03.005
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发表时间：
2014-07
期刊：
影响因子：
7.3
通讯作者：
Yanke Du;R. Xu
中科院分区：
文献类型：
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作者：
Yanke Du;R. Xu
研究了一类具有泄漏时滞、时变离散时滞和分布时滞的混合耦合神经网络的全局指数同步问题。利用一种新的增广Lyapunov-Krasovskii泛函，利用矩阵的Kronecker乘积理论、Barbalat׳S引理和线性矩阵不等式技巧，得到了系统全局指数同步的时滞相关充分条件.作为推广，给出了相应的参数不确定系统的鲁棒同步准则。文中给出了几个算例，验证了理论结果的有效性。
This paper is concerned with the global exponential synchronization for an array of hybrid coupled neural networks with leakage delay, time-varying discrete and distributed delays. By employing a novel augmented Lyapunov–Krasovskii functional (LKF), applying the theory of Kronecker product of matrices, Barbalat׳s Lemma and the technique of linear matrix inequality (LMI), delay-dependent sufficient conditions are obtained for the global exponential synchronization of the system. As an extension, robust synchronization criteria are derived for the corresponding system with parameter uncertainties. Some examples are given to show the effectiveness of the obtained theoretical results.