Boundedness and global exponential stability for delayed differential equations with applications

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摘要

The boundedness of solutions for a class of n-dimensional differential equations with distributed delays is established by assuming the existence of instantaneous negative feedbacks which dominate the delay effect. As an important by-product, some criteria for global exponential stability of equilibria are obtained. The results are illustrated with applications to delayed neural networks and population dynamics models.

论文关键词:Global exponential stability,Global asymptotic stability,Delay,Neural network,Cohen–Grossberg neural network,Delayed population model

论文评审过程:Available online 19 April 2009.

论文官网地址:https://doi.org/10.1016/j.amc.2009.04.016