含无穷分布时滞的离散时间耦合神经网络同步分析

Synchronization of an Array of Discrete-Time Coupled Neural Networks with Distributed Delays

针对一类离散时间耦合神经网络,讨论其含有变时滞和无穷分布时滞时的同步性.采用Lyapunov稳定性理论,结合线性矩阵不等式技术来获得时滞耦合神经网络全局渐近同步的充分性判据,并且所获得的判据依赖于时滞.同时,对细胞激活函数做了类扇形描述的假设,从而进一步减少结论的保守性.

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.