In this seminar, we consider the following general nonautonomous Cohen-Grossberg neural network model with infinite distributed delays,
x'_i(t)=-a_i(x_i(t)) \left[b_i(t,x_i(t))+\sum_{j=1}^n f_{ij}(t,x_{j_t})\right], t\geq0, i=1,\ldots,n.
where $a_i,b_i$ are positive functions and $f_{ij}$ are Lipschitz functions on the secound variable.
We establish sufficient conditions for the global exponential stability of the system. This model is general enough to include, as subclass, the Bidirectional Associative Memory neural networks. For periodic systems, the existence and global exponential stability of a periodic solution is also addressed.
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