中文摘要：

针对R-F系统和Lorenz系统,研究了分数阶混沌系统间的混合投影同步。基于分数阶混沌系统的RouthHurwitz条件,分析了分数阶R-F系统的平衡点的稳定性;设计合理的控制器使分数阶R-F系统和Lorenz系统达到同步,并基于分数阶稳定性理论,给予严格证明。最后,借助于预估-矫正方法,利用数值模拟验证了该方法的有效性。

英文摘要：

In view of the fractional order R-F system and the fractional order Lorenz system, the hyper projective synchronization between them are studied in this paper. First, the stability of its equilibrium points based on the fractional order Routh-Hurwitz stability conditions is analyzed. Then, a reasonable controller is designed to synchronize the two systems and proved by using the fractional stability theory. At last, numerical simulation results show that the method is effective and reliable for synchronizing the systems.