Li, Kelin; Li, Zuoan; Zhang, Xinhua Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays. (English) Zbl 1139.92001 Int. Math. Forum 2, No. 29-32, 1399-1414 (2007). Summary: A generalized reaction-diffusion model of M. A. Cohen and S. Grossberg [see IEEE Trans. Syst. Man. Cybern. 13, 815–826 (1983; Zbl 0553.92009)] neural networks with time-varying and distributed delays is investigated. By employing analytic methods, inequality techniques and \(M\)-matrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponential stability of equilibrium points for Cohen-Grossberg neural networks with time-varying and distributed delays are obtained. Several examples are given to show the effectiveness of the obtained results. Cited in 3 Documents MSC: 92B20 Neural networks for/in biological studies, artificial life and related topics 35K57 Reaction-diffusion equations 34K20 Stability theory of functional-differential equations Keywords:global exponential stability Citations:Zbl 0553.92009 PDFBibTeX XMLCite \textit{K. Li} et al., Int. Math. Forum 2, No. 29--32, 1399--1414 (2007; Zbl 1139.92001) Full Text: DOI