Absolutely exponential stability of a class of neural networks with unbounded delay

作者：Zhang, JY^*; Suda, Y; Iwasa, T

来源：Neural Networks, 2004, 17(3): 391-397.

DOI：10.1016/j.neunet.2003.09.005

• neural networks
• absolutely exponential stability
• unbounded delay
• partially Lipschitz

In this paper, the existence and uniqueness of the equilibrium point and absolute stability of a class of neural networks with partially Lipschitz continuous activation functions are investigated. The neural networks contain both variable and unbounded delays. Using the matrix property, a necessary and sufficient condition for the existence and uniqueness of the equilibrium point of the neural networks is obtained. By constructing proper vector Liapunov functions and nonlinear integro-differential inequalities involving both variable delays and unbounded delay, using M-matrix theory, sufficient conditions for absolutely exponential stability are obtained.

• 出版日期2004-4
• 单位西南交通大学