时间延迟细胞神经网络及其稳定性充分条件

DELAY TYPE CELLULAR NEURAL NETWORKS AND THEIR SUFFICIENT CONDITIONS ON STABILITY

ＤＣＮＮ是一种具有神经元时间延迟τ的细胞神经网络模型．通过Ｌｙａｐｕｎｏｖ能量函数的构造和分析给出一个判定ＤＣＮＮ稳定性的充分条件．这一结果改进了Ｐ．Ｐ．Ｃｉｖａｌｅｒｉ等给出的τ上界；

DCNN is a kind of cellular neural networks with time delay τ.A sufficient condition on the stability of the DCNN is presented by constructing and analyzing the Lyapunov energy function.This result improves the upbound of delay τ proposed by P.P.Civalleri etc.,and provides an optimal upbound used for sufficiently determining the stability of a DCNN.