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多时滞反应扩散Cohen-Grossberg神经网络的稳定性
Stability of Delayed Cohen-Grossberg Neural Networks with Reaction-Diffusion Terms
【摘要】 研究了一类具有反应扩散项的时滞Cohen-Grossberg神经网络模型利用拓扑度理论和Lyapunov函数方法,研究了此类系统平衡点的存在性及全局指数稳定性,给出了判定定理.
【Abstract】 In this paper, Cohen-Grossberg neural networks model with reaction-diffusion terms of the form is investigated. By making use of the theory of topology degree and introducing a new type of Lyapunov functional , some sufficient conditions for existence of equilibrum and global exponential stability of the Cohen-Grossberg neural networks are obtained.
【关键词】 神经网络;
时滞;
反应扩散;
Lyapunov函数;
全局指数稳定性;
【Key words】 neural networks; delay; reaction-diffusion; Lyapunov functional; global exponential stability;
【Key words】 neural networks; delay; reaction-diffusion; Lyapunov functional; global exponential stability;
- 【文献出处】 徐州工程学院学报 , 编辑部邮箱 ,2005年01期
- 【分类号】O175.13
- 【下载频次】88