Global robust attractivity of fuzzy static cellular neural networks with infinite distributed delays and impulses

摘要

In this letter, we firstly have established a novel delayed differential inequality. Applying this differential inequality, we investigate globally robust attractive and invariant sets of fuzzy static cellular neural networks (FCNNs). With removing some restrictions on the amplification functions, a series of new and useful criteria are obtained to ensure the existence of globally robust attracting set and invariant set for FCNNs with infinity distributed delays and impulses. Our main results allow much broader application for fuzzy and impulsive neural networks with infinite distribute delays. An example is given to illustrate the effectiveness of our results.