Complete and lag synchronization of hyperchaotic systems using small impulses

The complete synchronization and lag synchronization of the hyperchaotic systems are restated as the impulsive control issues. Some simple and easy-to-be-verified stability criteria for impulsive control systems are derived, and then applied to synchronize and lag-synchronize the hyperchaotic Chuaʹs oscillators. Moreover, the boundaries of the stable regions are also estimated. Some computer simulations illustrate the effectiveness of our results.