Generalized intermittent control and its adaptive strategy on stabilization and synchronization of chaotic systems

In this paper, the stabilization and synchronization of chaotic systems are investigated by means of intermittent control. At first, a generalized intermittent control and its adaptive strategy are introduced, in which the traditional periodic intermittent control and the aperiodic case are unified. Based on the designed control protocols, by applying comparison principle, the method of piecewise auxiliary function, piecewise analysis technique and the theory of series, some novel and effective criteria are derived to ensure the stabilization and synchronization of chaotic systems. Finally, two numerical examples are provided to verify the theoretical results.