时滞细胞神经网络的稳定性研究

Research of the Stability of Delayed Cellular Networks

本文通过构造Lyapunov函数和利用不等式分析技巧,研究了具有时滞的细胞神经网络的稳定性,给出了与时滞无关的网络渐近稳定的充分判据,该判据可用于时滞细胞神经网络的设计与检验,有重要的理论意义与应用价值。

in this paper, by making use of the Lyapunov function and combining with tire technique of inequality analysis, the stability of a class of delayed cellular networks is discussed.A new sufficient condition of asympotofic stability for neural networks is obtained, which has nothing to do with the delayed quantity. The criterion can be applied to design or examine delayed cellular networks and thus has important theoretical significance and applied worth.