基于 M 矩阵理论的时滞细胞神经网络稳定性分析*

摘要

This paper deals with the stability of delayed cellular neural networks .By using the M‐matrix theory with its judgment lemma and applying appropriate linear parameter transformation ,the condition of the stability of the system is de‐duced .Compared with the Lyapunov method ,this paper provides a simpler one which reduces the original conservative con‐clusions and improvement the sufficient condition of origin as globally asymptotical stability equilibrium points .The simula‐tion example demonstrates the method is effective .%研究了时滞细胞神经网络的稳定性问题。通过M‐矩阵理论及其判定引理，运用适当的线性参数变换，推导出时滞细胞神经网络的稳定性条件，相比常用的Lyapunov方法，论文为研究多时滞细胞神经网络的稳定性提供了一个更为简单的新方法，降低了原有结论的保守性，进一步推导完善了全局渐近稳定平衡点为原点时的充分条件。仿真实例证明了文章提供的方法有效可行。