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New results on global stability analysis of discontinuous Cohen–Grossberg neural networks of neutral-type in Hale's form
International Journal of Control ( IF 2.1 ) Pub Date : 2020-08-04 , DOI: 10.1080/00207179.2020.1800100
Fanchao Kong 1, 2 , Quanxin Zhu 2
Affiliation  

In this paper, we aim to investigate the globally asymptotic stability of the equilibrium point for the discontinuous Cohen–Grossberg neural networks of neutral-type in Hale's form. The functional differential inclusions theory, inequality technique and the non-smooth Lyapunov–Krasovskii functional are invoked and some new delay independent sufficient conditions are derived. The considered neural system extends some previous related ones to the discontinuous case. In addition, the imposed essential condition j=1ncij+<1 or ci+<1 (i=1,2,n) in the previous researches on neutral-type neural networks in Hale's form will not be needed in this paper. Consequently, compared with the previous stability results on the neutral-type Cohen–Grossberg neural networks, the results established are more generalised and take more advantages. Finally, the effectiveness of the established results are validated via two numerical examples and simulations.



中文翻译:

Hale形式的中性型不连续Cohen-Grossberg神经网络全局稳定性分析的新结果

在本文中,我们旨在研究 Hale 形式的中性型不连续 Cohen-Grossberg 神经网络平衡点的全局渐近稳定性。引入泛函微分包含理论、不等式技术和非光滑Lyapunov-Krasovskii泛函,推导了一些新的时滞无关充分条件。所考虑的神经系统将一些先前相关的神经系统扩展到不连续情况。此外,强加的必要条件j=1nC一世j+<1 或者 C一世+<1 (一世=1,2,n)本文将不再需要之前对 Hale 形式的中性型神经网络的研究。因此,与先前在中性型 Cohen-Grossberg 神经网络上的稳定性结果相比,所建立的结果更普遍,更具优势。最后,通过两个数值例子和模拟验证了所建立结果的有效性。

更新日期:2020-08-04
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