On synchronization criterion for coupled discrete-time neural networks with interval time-varying delays

The purpose of this paper is to investigate the delay-dependent synchronization analysis for coupled discrete-time neural networks with interval time-varying delays in network couplings. Based on Lyapunov method, a new delay-dependent criterion for the synchronization of the networks is derived in terms of linear matrix inequalities (LMIs) by construction of a suitable Lyapunov–Krasovskii's functional and utilization of Finsler's lemma without free-weighting matrices. Two numerical examples are given to illustrate the effectiveness of the proposed method.

► A synchronization criterion for coupled discrete-time neural networks is proposed.
► Interval time-varying delays in network couplings are considered.
► New zero equalities from the constructed mathematical model are proposed.
► Various simulations are conducted to check effectiveness of the proposed methods.