单一驱动多响应分数阶混沌系统的完全同步

Complete Synchronization of Single-Drive and Multiple-Response Fractional-Order Chaotic System

基于复杂的分数阶异构系统同步问题,采用完全同步控制法设计非线性控制器,从而实现用一个新型的三维分数阶混沌系统,同时驱动整数阶Duffing系统和分数阶超混沌Lorenz系统.利用分数阶稳定性定理对所设计的控制器给予理论证明,并通过数值仿真验证了方案的有效性.

To synchronize the complex fractional chaotic systems of different structures,the complete synchronization control method is adopted to design a nonlinear controller which is used to drive the integral-order Duffing system and fractionalorder hyperchaotic Lorenz system by a new 3-D fractional-order chaotic system. Based on the fractional theory of stability,the scheme of the nonlinear controller is proved. Moreover,numerical results also show the validity of the method.