摘要
本文利用平均 Ｌｙａｐｕｎｏｖ函数，研究了具有反应扩散的 Ｈｏｐｆｉｅｌｄ神经网络平衡位置的全局渐近稳定性及局部渐近稳定性．其结果包含了国际上一些最新结果为特例．
In this paper,we construct a kind of even type Lyapunov functions to study globally asymptotic and locally asymptotic stability of equilibrium of more general Hopfield neural networks with reaction-diffusion terms. Since the diffusion Phenomena could not be ignored in neural networks and electric circuits,the model Presented here is more closed to the actual systems,and the we got cover the most of new results in the world.
出处
《电子学报》
EI
CAS
CSCD
北大核心
2000年第1期78-80,69,共4页
Acta Electronica Sinica
基金
国家自然科学基金!(NO.69877016)
高等学校博士学科点专项基金(NO.97048722)资助课题
"973"国家重点
关键词
反应扩散
神经网络
稳定性
reaction-diffusion
neural network
global stability
asymptotic stability
Lyapunov function
