Master–slave synchronization criteria of Lur’e systems with time-delay feedback control

In this paper, the synchronization problem of Lur’e systems with time delay is considered. Compared with some existing results on synchronization for Lur’e systems, the effect of the time delay in the feedback control on master–slave synchronization is investigated. With the introduction of a delay decomposition approach, some delay-dependent synchronization criteria are established and formulated in the form of matrix inequalities. The controller gain can be achieved by solving a set of linear matrix inequalities (LMIs). A simulation example is given to illustrate the effectiveness of synchronization criteria and the design method.