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Periodic oscillation of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients. (English) Zbl 1154.34037

Summary: A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of a periodic solution for the fuzzy Cohen-Grossberg neural networks. Moreover, two examples are given to illustrate the effectiveness of our results.

MSC:

34K13 Periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
26E50 Fuzzy real analysis
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