Global dissipativity of delayed discrete-time inertial neural networks

Abstract This paper addresses global dissipativity for a class of delayed discrete-time inertial neural networks (DINN). With a newly developed discrete-time Halanay inequality, a novel criterion of the global dissipativity for the DINN is established. Moreover, the global robust dissipativity of DINN with bounded parameter uncertainties is also investigated. Meanwhile, some specific estimates of global attractive sets and positive invariant sets are derived. Finally, two simulation examples validate the efficacy of the proposed results.