中文摘要：

在时标上微积分理论的基础上研究了具有离散时滞的Wilson-Cowan网络的全局指数型同步。通过构造Lyapunov函数,运用线性矩阵不等式和Kronecker积运算等方法,得到了时标上具有离散时滞的Wilson-Cowan网络全局指数型同步的充分条件,即当系统满足定理1中的线性矩阵不等式时可达到全局指数型同步。

英文摘要：

In this paper, the global exponential synchronization for Wilson - Cowan networks with dis-crete delay was studied based on the theory of time scale calculus. The sufficient conditions for global expo-nential synchronization of Wilson - Cowan networks were obtained by constructing Lyapunov functions and using linear matrix inequalities and Kronecker product operations. That is to say, the system can achieve the global exponential synchronization when it satisfies the linear matrix inequality of the theorem 1.