摘要
研究了含有离散时滞及分布时滞的分数阶神经网络在Caputo导数意义下的渐近稳定性问题.通过构造Lyapunov函数和利用分数阶Razumikhin定理给出了含有离散时滞和分布时滞的分数阶神经网络渐近稳定性的充分条件,并给出4个例子验证了定理条件的有效性.
The asymptotic stability of fractional⁃order neural networks with discrete delays and distributed delays in the sense of Caputo derivatives was studied.Through construction of the Lyapunov function and with the fractional Razumikhin theorem,sufficient conditions for asymp⁃totic stability of fractional⁃order neural networks with discrete and distributed delays were giv⁃en,and 4 examples were given to illustrate the validity of the proposed theorem conditions.
作者
刘健
张志信
蒋威
LIU Jian;ZHANG Zhixin;JIANG Wei(School of Mathematical Sciences,Anhui University,Hefei 230601,P.R.China)
出处
《应用数学和力学》
CSCD
北大核心
2020年第6期646-657,共12页
Applied Mathematics and Mechanics
基金
国家自然科学基金(11371027,11471015,11601003)
安徽省自然科学基金(1608085MA12)。
