Synchronization of multi-chaotic systems via ring impulsive control

The ring control approach to multi-chaotic systems synchronization based on the impulsive control theory is presented in this article. The operator differential mid-value theorem and the matrix operations are applied to them. With the help of Gronwall Inequality, the controller is thus obtained according to the jumped impulsive response. The global synchronization of multi-chaotic systems via ring impulsive control is derived. Finally, the simulation results of a typical time-delay chaotic Hopfield neural networks and chaotic Lorenz system demonstrate that the proposed approach is effective and feasible, and has strong robust performance.