Synchronization of delayed discrete-time neural networks subject to saturated time-delay feedback

This paper considers the synchronization problem of delayed discrete-time neural networks under saturated time-delay feedback. Based on the drive-response concept, and using generalized delay-dependent sector condition, appropriate Lyapunov–Krasovskii (L–K) functionals, and some finite-sum inequalities, two delay-dependent local synchronization conditions are well established in terms of linear matrix inequalities (LMIs). In addition, global synchronization conditions are also proposed on the basis of classical sector condition. Finally, numerical examples and simulations illustrate the effectiveness of the proposed synchronization conditions in this paper.