利用拓扑度理论和广义Halanay不等式研究了分布时滞反应扩散Hopfield神经网络的平衡点的存在性及全局指数稳定性.给出的判别指数稳定性的代数判据易于验证。具有广泛适用性.
This Paper investigates the global exponential stability of reaction-diffusion Hopfield neural networks with continuously distributed delays, By means of the topological degree theory and general l falanay inequality technique,easily verifiable suffcient conditions to gurantee the exponcntial stability of an equilibrium solution associated with temporally uniform external inputs are obtained, without assuming the monotonicity and differentiability of activation functions. The results are new and helpful for designs and applications of neural networks.