Further Results on Sampled-Data Synchronization Control for Chaotic Lur’e Systems with Time Delay

This paper proposes a new approach to investigate the problem of designing sampled-data controller for master–slave synchronization of chaotic Lur’e systems with time delay. Compared with existing methods, this method can make full use of the information of actual sampling pattern. To reflect more realistic the information on both the intervals e ( t ) to e ( t k ) and e ( t ) to e ( t k + 1 ) , a novel two-side sampling-interval-dependent discontinuous Lyapunov functional (DLF) is constructed, which can fully utilizes the available characteristics of actual sampling information. Based on this DLF and by using modified free-matrix-based integral inequality, novel less conservative stability criteria of the synchronization error system are derived in the form of linear matrix inequalities, which guarantee the master system synchronizes with the slave system. At the same time, the gain matrix of the sampling controller is gained with a bigger sampling interval than the previous conclusions. Simulation results are provided to demonstrate the effectiveness and benefits of the presented synchronization scheme.