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Periodic solution and global exponential stability for shunting inhibitory delayed cellular neural networks. (English) Zbl 1057.34091

Shunting inhibitory delay cellular neural networks are studied. New criteria for the existence of a periodic solution and its global robust exponential stability are obtained by applying Young’s inequality and a Lyapunov functional. These obtained results can be used for designing globally stable and periodic oscillatory neural networks. An example is provided as well.

MSC:

34K13 Periodic solutions to functional-differential equations
34K20 Stability theory of functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
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