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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:
93D05Lyapunov and other classical stabilities of control systems
92B20General theory of neural networks (mathematical biology)