摘要
利用线性矩阵不等式技术及向量李雅普诺夫泛函的方法,对一类具有时变时滞的四元数值神经网络的全局耗散性问题进行分析,得出了四元数神经网络耗散性的准则.最后,通过数值仿真实验验证了该结论的有效性和正确性.
In this paper,the author considers the global dissipativity for quaternion-valued neural networks(QVNNs)with time-varying delays,by using linear matrix inequality theory and vectorial Lyapunov function method,and obtains the criterion of the dissipative quaternion-valued neural networks.Finally,the conclusions are proved to be correct by numerical simulation experiments.
作者
高苗苗
陈展衡
Gao Miaomiao;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)
出处
《伊犁师范大学学报(自然科学版)》
2024年第1期22-26,共5页
Journal of Yili Normal University:Natural Science Edition
基金
国家自然科学基金资助项目(61663045).
关键词
四元数
线性矩阵不等式
全局耗散性
全局吸引集
quaternion
linear matrix inequality
global dissipativity
globally attractive set