论文标题
具有离散和分布式延迟的Cohen-Grossberg神经网络的指数滞后同步
Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
论文作者
论文摘要
在本文中,我们通过应用反馈控制来研究具有离散和分布式延迟的Cohen-Grossberg神经网络(C-GNN)的指数滞后同步结果。我们通过使用时间尺度理论来提出问题,以便将结果应用于任何均匀或不均匀的时域。另外,我们提供了结果的比较,表明获得的结果是统一的,并概括了现有结果。主要是,我们使用统一的矩阵测定理论和HALANAY不等式来建立这些结果。在最后一节中,我们为不同的时间域提供了两个模拟示例,以显示获得的分析结果的有效性和一般性。
In this article, we investigate exponential lag synchronization results for the Cohen-Grossberg neural networks (C-GNNs) with discrete and distributed delays on an arbitrary time domain by applying feedback control. We formulate the problem by using the time scales theory so that the results can be applied to any uniform or non-uniform time domains. Also, we provide a comparison of results that shows that obtained results are unified and generalize the existing results. Mainly, we use the unified matrix-measure theory and Halanay inequality to establish these results. In the last section, we provide two simulated examples for different time domains to show the effectiveness and generality of the obtained analytical results.