Delay-dependent attractor analysis of Hopfield neural networks with time-varying delays

This paper investigates the attractor of Hopfield neural networks with time-varying delays. By using Lyapunov-Krasovskii functional as well as linear matrix inequality, some novel delay-dependent sufficient conditions are derived to ensure the existence of pullback attractor of the considered networks. The constraint that the derivative function of the delay function is less than 1 is removed. Finally, two examples are given to demonstrate the effectiveness of our theoretical result.