Modified Impulsive Synchronization of Fractional Order Hyperchaotic Chen Systems

In this paper, a modified impulsive control scheme is proposed to realize complete synchronization of fractional order hyperchaotic Chen systems. By constructing the suitable response system, the integral order synchronization error system is obtained. Based on the theory of Lyapunov stability and impulsive differential equations, some effective sufficient conditions are derived to guarantee the asymptotical stability of synchronization error system. In particular, some simpler and more convenient conditions are derived by taking the same impulsive distances and control gains. Comparing with the existing results, the main results in this paper are more practical and rigorous. Simulation results show the effectiveness and feasibility of the proposed impulsive control method.