Synchronization in delayed discrete-time Complex networks

The synchronization problem of discrete-time complex networks with time-varying delays is investigated. Both time-varying delays in the network couplings and time-varying delays in the dynamical nodes are considered. The novel delay-dependent criteria in terms of linear matrix inequalities (LMI) are derived based on free-weighting matrices technique and appropriate Lyapunov functional proposed recently. An example is given to illustrate the effectiveness and advantage of the proposed synchronization criteria.