Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses.(English)Zbl 1244.93122

Summary: A class of Cohen-Grossberg-type BAM neural networks with distributed delays and impulses are investigated in this paper. Sufficient conditions to guarantee the uniqueness and global exponential stability of the periodic solutions of such networks are established by using suitable Lyapunov function, the properties of $$M$$-matrix, and some suitable mathematical transformation. The results in this paper improve the earlier publications.

MSC:

 93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, $$L^p, l^p$$, etc.) in control theory 92B20 Neural networks for/in biological studies, artificial life and related topics
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