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Stability analysis of delayed fuzzy Cohen‐Grossberg neural networks with discontinuous activations
International Journal of Adaptive Control and Signal Processing ( IF 3.1 ) Pub Date : 2020-06-12 , DOI: 10.1002/acs.3126
Meryem Abdelaziz 1 , Farouk Chérif 2
Affiliation  

In this article, we investigate the dynamical behavior of a class of delayed fuzzy Cohen‐Grossberg neural networks (FCGNNs) with discontinuous activation functions subject to time delays and fuzzy terms. By using the inequality analysis technique and the M‐matrix theory, sufficient and proper conditions are given in order to establish the existence, convergence, and global exponential stability of equilibrium point of the system. In particular, we discuss the impact of discontinuous neuron activations on the existence and exponential stability of equilibrium point for FCGNNs. Two numerical examples are provided to substantiate the theoretical results.

中文翻译:

具有不连续激活的时滞模糊Cohen-Grossberg神经网络的稳定性分析

在本文中,我们研究了一类具有不连续激活函数的时滞模糊时间的模糊Cohen-Grossberg神经网络(FCGNN)的动力学行为。通过使用不等式分析技术和M矩阵理论,给出了充分适当的条件,以建立系统平衡点的存在,收敛和全局指数稳定性。特别是,我们讨论了不连续神经元激活对FCGNNs平衡点的存在和指数稳定性的影响。提供了两个数值示例来证实理论结果。
更新日期:2020-06-12
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