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An Analysis of Global Asymptotic Stability of Delayed Cohen-Grossberg Neural Networks via Nonsmooth Analysis

机译:延迟Cohen-Grossberg神经网络的全局渐近稳定性的非光滑分析

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摘要

In this paper, using a method based on nonsmooth analysis and the Lyapunov method, several new sufficient conditions are derived to ensure existence and global asymptotic stability of the equilibrium point for delayed Cohen-Grossberg neural networks. The obtained criteria can be checked easily in practice and have a distinguished feature from previous studies, and our results do not need the smoothness of the behaved function, boundedness of the activation function and the symmetry of the connection matrices. Moreover, two examples are exploited to illustrate the effectiveness of the proposed criteria in comparison with some existing results.
机译:本文采用基于非光滑分析的方法和Lyapunov方法,导出了几个新的充分条件,以确保延迟Cohen-Grossberg神经网络平衡点的存在和全局渐近稳定性。所获得的准则可以在实践中轻松检查,并且具有与先前研究不同的特征,并且我们的结果不需要行为函数的平滑性,激活函数的有界性和连接矩阵的对称性。此外,利用两个例子来说明所提出标准与某些现有结果相比的有效性。

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