时滞BAM神经网络稳定性分析

Stability of delay BAM neural networks

研究了带有脉冲的时滞双向联想记忆(BAM)神经网络的稳定性问题。通过对网络系统的研究,根据脉冲的特点,采用Lyapunov稳定性理论和一些矩阵分析技巧,得到了脉冲时滞BAM神经网络的稳定性结论,其中包括稳定点的唯一性判据和稳定性的判据,说明脉冲时滞BAM神经网络的稳定性问题是网络本身的特性,最后通过数值算例验证了该结论的可行性和有效性。

A elass of delayed BAM neural networks with impulses is investigated in this paper. By using Lyapunov functions and analysis technique, we get some results for the stability of impulsive BAlM neural networks with time delay , including the uniqueness and stability of the equiibrilium point, prove that the stability question of delayed BAM neural network of the pulse is a characteristic of the network itself. An example is given to show their feasibility and effectiveness.