Abstract: This paper discusses synchronization in an array of discrete-time coupled neural networks with mixed time delays.And,by employing Lyapunov-Krasovskii functional and linear matrix inequality (LMI) approach,the criteria for the asymptotically synchronization are obtained.Furthermore,the description of the activation functions is a more general sector-like nonlinear function.And the criteria of synchronization are therefore less conservative.

Key words: discrete-time, coupled neural network, time-varying delay, distributed time delay, global asymptotically synchronization