具有混合时滞的四元数神经网络全局同步性控制
Global synchronization control of quaternion-valued neural networks with mixed delays
摘要点击 47  全文点击 58  投稿时间:2018-10-29  修订日期:2019-03-28
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DOI编号  10.7641/CTA.2019.80837
  2019,36(8):1360-1368
中文关键词  四元数神经网络  混合时滞  驱动- 响应同步  线性矩阵不等式  全局同步性
英文关键词  quaternion-valued neural networks  mixed time-varying delays  drive-respond synchronization  linear matrix inequality  global synchronization
基金项目  研究生教育创新基金项目(CYS18230)资助
学科分类代码  
作者单位E-mail
刘丽缤 重庆工商大学 liulb152@163.com 
游星星 重庆交通大学  
高小平 西南大学  
中文摘要
      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两个复数或四个实数的情况下, 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, 同时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所得结论的有效性.
英文摘要
      This paper discusses the issue of global synchronization problem 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, by constructing the appropriate Lyapunov-Krasovskii functionals, several new sufficient conditions are obtained to ensure the global synchronization of equilibrium point, and the design method of the synchronous controller is established. The linear matrix inequalities synchronization criterion is provided in the form of quaternion-valued and complex-valued linear matrix inequality (LMI). In the annotation, the results are compared with the existing ones. Finally, a numerical simulation example is used to verify the validity of the conclusion.