Invariant and Attracting Sets of Complex-Valued Neural Networks with Both Time-Varying and Infinite Distributed Delays

摘要

In this paper, we investigate the asymptotic property of non-autonomous complex-valued neural networks with time-varying delays and infinite distributed delays. By using the property of M-matrix, an integro-differential inequality is established. Based on the inequality and some sufficient conditions, we obtain the attracting and invariant sets of non-autonomous complex-valued neural networks with time-varying delays and infinite distributed delays. An example with numerical simulation is given out to illustrate the effectiveness of our results.