新分段分数阶混沌系统的同步控制

通过改变修正的Lorenz-Stenflo (modified Lorenz-Stenflo, MLS)混沌系统的分段函数项，得到了一个新的四维分段混沌系统。新系统较MLS混沌系统具有更低的分数阶维数，在3.44阶时仍具有混沌特性。根据分数阶系统的线性稳定性理论和非线性反馈控制方法，提出了新分数阶系统的状态同步方法。通过理论推导，得到了两个混沌系统的同步稳定条件。控制器能够自适应地根据误差大小调节反馈系数，缩短同步时间。最后对3.6阶的分数阶系统进行了同步仿真实验,仿真结果验证了改进算法能够加快同步速度。

Synchronization control of new piecewise fractional-order chaotic systems

A new four-dimensional piecewise chaotic system is constructed by replacing the piecewise function terms of the modified Lorenz-Stenflo (MLS) system. Compared with the MLS chaotic system, the new system owns the lower fractional orders. It maintains the chaotic characteristic in 3.44-order. Based on the linear stability of fractional-order systems and the nonlinear feedback control method, a state synchronization method is proposed for the new fractional order system. The stability conditions are analyzed for synchronizing two chaotic systems. The controllers can adaptively adjust the feedback parameters with the values of error to reduce the synchronization time. Finally the synchronization simulation researches are carried out for 3.6-order systems. Satisfied simulations results show the improved algorithm can quick the synchronization speed.