摘要
主要研究分数阶变时滞Cohen-Grossberg型BAM神经网络,利用分数阶微积分有关性质,定义Mittag-leffler函数和对时间区间的有效划分,借助微分中值定理和一些分析技巧,给出了判定其系统解全局Mittag-Leffler稳定性充分条件.最后,给出数值例子以验证理论结果的有效性.
This paper mainly studies fractional-order Cohen-Grossberg BAM neural networks with time-varying delays.Using properties of fractional-order calculus,definition of the Mittag-leffler function,effective division of time intervals,differential mean value theorem and some analytical techniques,sufficient conditions is given to ensure global Mittag-Leffler stability of such fractional-order neural networks.Finally,numerical examples are given to verify the validity of the theoretical results.
作者
刘伟
蒋望东
章月红
LIU Wei;JIANG Wang-dong;ZHANG Yue-hong(Yuanpei College,Shaoxing University,Shaoxing 312000,China)
出处
《数学的实践与认识》
北大核心
2019年第20期303-314,共12页
Mathematics in Practice and Theory
基金
教育部产学合作协同育人项目(201801123017)
浙江省高等教育教学改革研究项目(JG20160261)
绍兴市高等教育教学改革研究项目(SXSJG201833)
