Impulsive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators

This paper is mainly concerned with the issues of impulsive control and synchronization of chaotic VDPL systems consisting of a Van der Pol oscillator coupled to a linear oscillator. Based on impulsive control theory of dynamical systems, some simple yet less conservative criteria ensuring impulsive stabilization and synchronization of the VDPL systems are derived. Furthermore, an allowable upper bound of impulsive intervals for stabilizing and synchronizing such VDPL systems is given. Subsequently, numerical results are presented to demonstrate the effectiveness of the proposed control techniques.