摘要
本文研究了具有混合时滞的四元数神经网络的全局同步性问题.在不要求网络的激活函数可分离为2个复数函数或4个实数函数的情况下,通过选取合适的Lyapunov-Krasovskii泛函,并运用驱动–响应同步、自由权矩阵方法和矩阵不等式技巧,给出了网络全局同步性的充要条件,建立了同步控制器的设计方法.给出的同步性判据是四元数和复数两种形式的线性矩阵不等式(LMI).同时在注记中与已有的结果进行了对比.最后,通过一个数值仿真算例验证了理论分析的有效性.
This paper focuses on the issue of global synchronization for the quaternion-valued neural networks(QVNNs)with mixed time-varying delays.In the case where the activation function of the network is not required to be separated into two complex parts or four real parts.Several new sufficient conditions for the proposed neural networks are established in terms of Lyapunov-Krasovskii functional approach,drive-response synchronization method,linear matrix inequality technique.Meanwhile the design method of the synchronous controller is established.The synchronization criteria of linear matrix inequalities are provided in the form of quaternion-valued and complex-valued linear matrix inequality(LMI).In the remark,the results are compared with the existing ones.Finally,a numerical simulation example is used to verify the validity of theoretical analysis.
作者
刘丽缤
游星星
高小平
LIU Li-bin;YOU Xing-xing;GAO Xiao-ping(College of Finance,Chongqing Technonogy and Business University,Chongqing 400067,China;School of Economic and Management,Chongqing Jiaotong University,Chongqing 400074,China;School of Mathematics and Statistics,Southwest University,Chongqing 400715,China)
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2019年第8期1360-1368,共9页
Control Theory & Applications
基金
重庆研究生教育创新基金项目(CYS18230)资助~~
