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Uniqueness and stability analysis of equilibrium with delayed cellular neural networks

机译:时滞细胞神经网络平衡的唯一性和稳定性分析

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The uniqueness and stability analysis of the equilibrium problem of the cellular neural networks with time delay is discussed in this paper. Firstly, the equilibrium point of uniqueness condition is proposed in form of LMIs by contradiction. The appropriate Lyapunov-Krasovskii function is established based on the delayed cellular neural networks model, then using the inequality skill, the delay dependent criteria of global asymptotic stability of cellular neural networks is proposed. The results are given in terms of linear matrix inequalities and can be easily calculated stability delay bounds by LMI tool-box. The results in this paper can easily get the delay-independent stability of results, and the results included in existing literature on delay independent stability analysis results. Finally, a numerical example illustrates the superiority.
机译:本文讨论了具有时滞的细胞神经网络平衡问题的唯一性和稳定性分析。首先,通过矛盾提出了LMI形式的唯一性条件的平衡点。基于时滞细胞神经网络模型建立了适当的Lyapunov-Krasovskii函数,然后利用不等式技巧,提出了时滞相关的细胞神经网络全局渐近稳定性判据。结果以线性矩阵不等式给出,可以通过LMI工具箱轻松计算出稳定性延迟范围。本文中的结果可以很容易地获得与时滞无关的稳定性,并且该结果包括在有关时滞无关的稳定性分析结果的现有文献中。最后,通过一个数字示例说明了这种优势。

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