Adaptive-impulsive synchronization of a four-dimensional energy supply-demand system

Based on the comparison theorem for the stability of impulsive control system, the synchronization of a four-dimensional energy supply-demand system is investigated. The sufficient conditions of the asymptotically synchronization are proposed using the methods of linear- impulsive control and adaptive-impulsive control. The deserved controllers are simple and practical. Numerical simulation is also to illustrate the results.