具比例时滞四元数值中立型Cohen-Grossberg神经网络稳定性分析  

Stability Analysis of Quaternion-Valued Neutral Cohen-Grossberg Neural Networks with Proportional Time Delay

作　　者：陈展衡 Chen Zhanheng(College of Mathematics and Statistics,Yili Normal University,Yining,Xinjiang 835000,China;Institute of Applied Mathematics,Yili Normal University,Yining,Xinjiang 835000,China)

机构地区：[1]伊犁师范大学数学与统计学院,新疆伊宁835000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《伊犁师范大学学报（自然科学版）》2023年第1期1-8,共8页Journal of Yili Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(61663045).

摘　　要：主要研究具比例时滞四元数值中立型Cohen-Grossberg神经网络的稳定性.通过利用M-矩阵理论、同胚映射原理、Lyapunov函数、线性矩阵不等式等技术,得到了系统平衡点的存在唯一性和全局指数稳定性的充分条件;最后通过数值仿真验证所得结果的有效性和正确性.This paper mainly studies the stability of quaternion-valued neutral Cohen-Grossberg neural network with proportional delay.By using M-matrix theory,homeomorphic mapping principle,Lyapunov function,linear matrix inequality,the existence of unique equilibrium point of the system and some sufficient conditions of stability properties are obtained.Finally,the validity and correctness of the obtained results are verified by numerical simulation.

关 键 词：四元数 比例时滞 中立型Cohen-Grossberg神经网络 稳定性 

分 类 号：O175.13[理学—数学]