Abstract:

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.