一类具有离散时滞和分布时滞的四元数神经网络同步性研究  

Global Synchronization of Quaternion-valued Neural Networks with Discrete and Distributed Delays

作　　者：杨仪 陈小龙 周杰琳 Yang Yi;Chen Xiaolong;Zhou Jielin(College of Computer Science and Engineering,Chongqing Three Gorges University,Chongqing 404100,China;Key Laboratory of Intelligent Information Processing and Control of Chongqing,Chongqing Three Gorges University,Chongqing 404100,China;College of Mathematics and Statistics,Chongqing Jiaotong University,Chongqing 400074,China)

机构地区：[1]重庆三峡学院计算机科学与工程学院,重庆404100 [2]重庆三峡学院智能信息处理与控制重庆市重点实验室,重庆404100 [3]重庆交通大学数学与统计学院,重庆400074

出　　处：《南京师大学报（自然科学版）》2020年第3期1-6,共6页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：重庆市教委科技研究项目(KJQN201901203).

摘　　要：本文通过构造合适的Lyapunov-Krasovskii函数,利用自由权矩阵方法和四元数不等式技巧,讨论了一类具有离散和分布时滞的四元数神经网络的同步性问题,得出了保证四元数神经网络全局同步性的充分判据.In this paper,by constructing suitable Lyapunov-Krasovskii function,using the free weight matrix method and quaternion inequality techniques,the synchronization problem of a class of quaternion neural networks with discrete and distributed delays is discussed,and a sufficient criterion to ensure the global synchronization of quaternion neural networks is obtained.

关 键 词：四元数神经网络 LYAPUNOV-KRASOVSKII函数 全局同步性 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程]