具连续分布时滞细胞神经网络的指数稳定性

Exponential Stability of Cellular Neural Networks with Continuously Distributed Delays

利用Cramer法则和Brouwer不动点定理,通过构造适当的Lyapunov泛函并结合矩阵形式的Halanay微分不等式分析技巧,研究了一类具有连续分布时滞的细胞神经网络模型的动力学性质,获得了该模型的平衡点的存在性和全局指数稳定性的充分条件.改进和推广了已有文献的结论.这些结果对设计全局指数稳定的细胞神经网络具有重要的指导意义.

We have investigated the dynamical behaviors of cellular neural networks with continuously distributed delays. Based on Cramer rule, Brouwer＇s fixed point theorem and Halanay inequality, we have obtained some sufficient conditions to ensure the existence and the global exponential stability of equilibria. Some existing results have been improved and extended. These results can be applied to design globally exponentially stable cellular neural networks and therefore have important theoretical and practical significance.