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Periodic solution to Cohen–Grossberg BAM neural networks with delays on time scales. (English) Zbl 1254.93111
Summary: In this paper, we investigate first the existence and uniqueness of periodic solution in a general Cohen-Grossberg BAM neural networks with delays on time scales by means of a contraction mapping principle. Then, by using the existence result of periodic solution and constructing a Lyapunov functional, we discuss the global exponential stability of periodic solution for above neural networks. In the last section, we also give examples to demonstrate the validity of our global exponential stability result of the periodic solution for above neural networks.

MSC:
93C70 Time-scale analysis and singular perturbations in control/observation systems
92B20 Neural networks for/in biological studies, artificial life and related topics
34C25 Periodic solutions to ordinary differential equations
93D20 Asymptotic stability in control theory
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