时间尺度上漏项中具有变时滞的中立型模糊BAM神经网络的概周期解  

Almost Periodic Solutions for Neutral Fuzzy BAM Neural Networks with Time-varying Delays in the Leakage Term on Time Scales

作　　者：丁彦林 DING YANLIN(Department of Mathematics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州财经大学数统学院,贵阳550025

出　　处：《应用数学学报》2023年第1期126-144,共19页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11761019,11361014);黔科合平台人才-GCC[2022]020-1资助项目。

摘　　要：本文研究了一类时间尺度上漏项中具有变时滞的中立型模糊BAM神经网络.利用时间尺度上线性动力学方程的指数二分法,Banach不动点定理和时间尺度上的微积分理论,得到了这类模糊BAM神经网络在时间尺度上概周期解的存在性和指数稳定性的充分条件.In this paper,a class of neutral fuzzy BAM neural networks with timevarying delays in the leakage term on time scales is considered.By using the exponential dichotomy of linear dynamic equations on time scales,Banach’s fixed point theorem and the theory of calculus on time scales,some sufficient conditions are obtained for the existence and exponential stability of almost periodic solutions for this class of Fuzzy BAM neural networks on time scales.The results of this paper are completely new and are complementary to the previously known results.

关 键 词：概周期解 模糊BAM神经网络 漏项 指数稳定性 时间尺度 

分 类 号：O212.7[理学—概率论与数理统计]