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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 |
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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.
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Received: 27 April 2002
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