Abstract

In this paper, we extend the Cohen---Grossberg neural networks from classical to fuzzy sets, and propose the fuzzy Cohen---Grossberg neural networks (FCGNN). The global exponential stability of FCGNN with variable delays and distributed delays is studied. Based on the properties of M-matrix, by constructing vector Liapunov functions and applying differential inequalities, the sufficient conditions ensuring existence, uniqueness, and global exponential stability of the equilibrium point of fuzzy Cohen---Grossberg neural networks with variable delays and distributed delays are obtained.

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