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Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales. (English) Zbl 1180.34081
Summary: Based on the theory of calculus on time scales, the homeomorphism theory, Lyapunov functional method, and some analysis techniques, sufficient conditions are obtained for the existence, uniqueness, and global exponential stability of the equilibrium point of Cohen-Grossberg bidirectional associative memory (BAM) neural networks with distributed delays and impulses on time scales.

MSC:
34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
92B20 Neural networks for/in biological studies, artificial life and related topics
34N05 Dynamic equations on time scales or measure chains
39A10 Additive difference equations
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