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

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.
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