Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays

Kelin Li, Zuoan Li, Xinhua Zhang · International Mathematical Forum · 2007

In this paper, a generalized reaction-diffusion model of Cohen-Grossberg neural networks with time-varying and distributed delays is investigated. By employing analytic methods, inequality technique and M-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium point for Cohen-Grossberg neural networks with time-varying and distributed de-lays are obtained. Several examples are given to show the effectiveness of the obtained results.

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