Quasi-invariant and attractive sets of inertial neural networks with time-varying and infinite distributed delays

Abstract

This paper aims at analyzing the quasi-invariant and attractive sets for a class of inertial neural networks with time-varying and infinite distributed delays. By utilizing the properties of nonnegative matrix, a new bidirectional-like delay integral inequality is developed. Some sufficient conditions are obtained for the existence of the quasi-invariant and attractive sets of the discussed system according to the bidirectional-like integral inequality. Besides, the framework of the quasi-invariant and attractive sets for the concerned system is provided. Finally, one example is analyzed to clarify the validity of our results.