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Zbl 1139.92001
Li, Kelin; Li, Zuoan; Zhang, Xinhua
Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays.
(English)
[J] Int. Math. Forum 2, No. 29-32, 1399-1414 (2007). ISSN 1312-7594; ISSN 1314-7536/e

Summary: A generalized reaction-diffusion model of {\it M. A. Cohen} and {\it 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.
MSC 2000:
*92B20 General theory of neural networks
35K57 Reaction-diffusion equations
34K20 Stability theory of functional-differential equations

Keywords: global exponential stability

Citations: Zbl 0553.92009

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