研究了一类连续型全反馈人工神经网络的稳定性，通过求解简单的一维微分方程，给出了该类神经网络系统解的解析表达式，利用解的解析表达式证明了当A的特征值λ≤0，至少有一个特征值为负时，网络的一切从Rn中的单位超球内出发的解收敛于原点或单位超球内的一点．关 键 词 神经网络; 特征值; 特征向量; 稳定性Abstract In this paper the problem of artificial neural network model is studied. The differential equation of an artificial neural network model is solved by solving a simple one imension differential equation. Applying the solution of the neural network model, we proved that all solutions of a network from the unit hypersphere over Rn converge to the origin or a point in the sphere, when all of A's eigenvalues are less than or equal to zero as well as not all of the eigenvalues equal to zero.Key words neural networks; eigenvalue; eigenvector; stability