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Global exponential stability in DCNNs with distributed delays and unbounded activations. (English) Zbl 1123.45006
The author obtains sufficient conditions under which the equilibrium $$x^*$$ of the network $\frac{dx_i(t)}{dt}=-a_i x_i(t)+\sum_{j=1}^m b_{ij} f_j(x_j(t))+ \sum_{j=1}^m c_{ij}f_j \left(\int_0^\infty K_{ij}(s)x_j(t-s)\,ds\right)+I_i,\quad t>0,$ where $$i\in\{1,2,\dots,m\}$$, is unique and globally exponentially stable.
Examples added with computer simulations are given to support the results obtained.

##### MSC:
 45J05 Integro-ordinary differential equations 45M10 Stability theory for integral equations 92B20 Neural networks for/in biological studies, artificial life and related topics 93D30 Lyapunov and storage functions
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