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Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with both variable and distributed delays. (English) Zbl 1139.92001

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.

MSC:

92B20 Neural networks for/in biological studies, artificial life and related topics
35K57 Reaction-diffusion equations
34K20 Stability theory of functional-differential equations

Citations:

Zbl 0553.92009
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