摘要
通过同胚映射的理论和不等式技巧,研究了一类具有无穷分布时滞神经网络的平衡点的存在唯一性.并在此基础上,利用反证法和分析技巧给出了模型平衡点的全局指数稳定性的条件,这种方法与技巧不同于以往的文章.最后给出一个实例来验证理论结果的有效性.
In this paper, the existence of unique equilibrium point of neural networks with infinite distributed delays is discussed by means of Homeomorphism theory and inequality technique. Then, some useful criteria for the globally exponential stability of this model are derived by way of contradiction and the analysis technique which are different from the methods employed in correspondingly previous works. Finally, an example is provided to illustrate the applicability of the result.
出处
《新疆大学学报（自然科学版）》
CAS
2014年第2期168-173,共6页
Journal of Xinjiang University(Natural Science Edition)
基金
Supported by the National Natural Science Foundation of People’s Republic of China(10961022,10901130 and 61164004)
the Natural Science Foundation of Xinjiang(2010211A07)
关键词
神经网络
分布时滞
全局指数稳定性
Neural network
Distributed delay
Globally exponential stability
