关键词: 时变时滞, 神经网络, 平衡点, 全局渐近稳定

Abstract: The existence and uniqueness of the equilibrium point and its global asymptotic are discussed for a class of neural networks with time-varying delays.The neural networks model includes the delayed Hopfield neural network，delayed Cellular neural network，and Cohen-Grossberg neural network as its special cases.Several new sufficient conditions for ascertaining the existence，uniqueness of the equilibrium point，global asymptotic stability of such neural networks are obtained by using the Brouwer’s fixed point theory and constructing suitable Lyapunov functions.The new criteria don’t require the activation functions to be differentiable，bounded，monotone nondecreasing.Two illustrative examples are given to demonstrate the effectiveness of the obtained results.

Key words: time-varying delays, neural networks, equilibrium point, global asymptotic stability