Attracting and quasi-invariant sets for BAM neural networks of neutral-type with time-varying and infinite distributed delays

In this paper, a class of neutral-type BAM neural networks with time-varying and infinite distributed delays is investigated. To this end, we first establish one bidirectional delay integral inequality by applying the properties of spectral radius of nonnegative matrix. Based on the bidirectional integral inequality, some new sufficient conditions for the existence of quasi-invariant and attracting sets of the considering system are obtained. Meanwhile, the framework of the quasi-invariant and attracting sets for BAM neural networks of neutral-type with time-varying and infinite distributed delays is given out. Finally, the validity of the obtained results is illustrated by a numerical example with simulations.