Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator. (English) Zbl 1475.92016
Summary: Taking into account the effects of multi-proportional delays and D operator, this paper investigates the stability issue of a general class of neutral-type SICNNs (shunting inhibitory cellular neural networks). With the help of fixed point theorem and some novel differential inequality techniques, we derive a new sufficient conditions to ensure the existence, uniqueness and exponential stability of weighted pseudo almost periodic solutions (WPAPS) of the considered model. The obtained main results are totally new and generalize some published results. At the end of this work, we also give some numerical simulations to support the proposed approach and demonstrate the correctness of the main conclusions.
MSC:
| 92B20 | Neural networks for/in biological studies, artificial life and related topics |
| 34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
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