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Stability for Hopfield Neural Networks With Time Delay

Mathematical College, Sichuan University, Chengdu, 610064 & Liaocheng Normal University, Liaocheng, Shandong, 252059 China

Daoyi Xu

Mathematical College, Sichuan University, Chengdu, 610064 China

In this paper, the global asymptotic stability of the equilibrium point of Hopfield neural networks with interneuronal transmission delays is studied. Some sufficient conditions related to the existence of a unique equilibrium point and its global asymptotic stability are derived.

Key Words: Neural networks • equilibrium point • stability • homotopy • topological degree

Journal of Vibration and Control, Vol. 8, No. 1, 13-18 (2002)
DOI: 10.1177/1077546302008001527


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