Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.

*(English)*Zbl 1180.34081Summary: 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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