摘要
利用Brouwer不动点理论和不等式技巧,讨论了非自治分布时滞BAM神经网络的绝对指数稳定性,给出了实用有效的判定条件,仅要求激活函数满足局部Lipschitz条件,所得结果更容易验证。例子说明结果的有效性。
The absolute exponential stability for BAM neural networks with continuously distributed signal transmission delays along the axon of a neuron was investigated, using the Brouwer fixed point theorem and inequality techniques. Some novel criteria were obtained for checking the equilibrium point, in which the activation functions only need to be partially Lipsehitz continuous, but not to be bounded or differentiable. An example shows the effectiveness of the results.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2008年第4期9-13,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(60674020)
山东省自然科学基金资助项目(60574005)
关键词
BAM神经网络
分布时滞
绝对指数稳定性
不动点
BAM neural networks
distributed delay
absolutely exponential stability
fixed point