非同元次分数阶混沌系统的组合同步

Combination Synchronization among Three Identical Incommensurate Fractional-order Chaoic Systems

本文基于追踪控制的思想,分别利用非同元次分数阶线性系统的稳定性理论与分数阶混沌系统稳定性判定定理给出了控制器的不同选择方案,并从理论上证明了它们都能实现三个非同元次分数阶L u系统的组合同步.最后,通过数值仿真验证理论的正确性和控制策略的有效性.

Based on the idea of tracking control, we give two different options of controllers by using the stability theory of incommensurate fractional-order linear systems and the stability determinant theorem of fractional-order chaos systems, respectively. And we prove that they both can achieve the combination synchronization among three incommensurate fractional-order Lu？？ systems theoretically. Finally, the numerical simulations are provided to illustrate the correctness of the theory and the effectiveness of the control strategy.