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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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\textit{H. Xiang} and \textit{J. Cao}, J. Appl. Math. 2008, Article ID 453627, 18 p. (2008; Zbl 1154.34037)

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