Master-slave synchronization for Lur'e systems with interval time-varying delay

In this paper, The problem on designing time-varying delay feedback controller of master-slave synchronization for a class of interval time-varying delay Lur'e systems has been considered. Through combining inequality with reciprocal convex technique, a sufficient condition is derived to ensure the master-slave synchronization if designed linear feedback controller is employed to every subsystems. Moreover, the problems of the controller design can be converted into solving a series of linear matrix inequalities (LMIs), which can help reduce the computation complexity. Finally, numerical examples and simulation results can verify the effectiveness of the obtained results.