Study on global exponential stability of neural networks and its convergence estimate
Tan Xiaohui①; Zhang Jiye②; Yang Yiren①
①Dept. of Appl. Mech. and Eng.,Southwest Jiaotong University, Chengdu 610031, China;②National Power Traction Lab.,Southwest Jiaotong University, Chengdu 610031, China
Abstract：In this paper, the existence, uniqueness and global exponential stability of the equilibrium point of a class of Hopfield neural networks are investigated by using Liapunov direct method. Lipschitz continuous activations are considered and the limit on self-feedback is released. It can be nonlinear instead of linear in this paper. And under this condition, some sufficient conditions and convergence estimate for global exponential stability of neural networks are obtained.
谭晓惠; 张继业; 杨翊仁. 神经网络指数稳定性分析及收敛率估计[J]. 电子与信息学报, 2003, 25(10): 1361-1366 .
Tan Xiaohui①; Zhang Jiye②; Yang Yiren①. Study on global exponential stability of neural networks and its convergence estimate. , 2003, 25(10): 1361-1366 .
2003, Vol. 25 
