Synchronization of the different fractional order chaotic system based on a new stability theorem

摘要

The paper presents a new stability theorem based on the Lyapunov theory to synchronize fractional-order chaotic system. It can synchronize two different fractional-order chaotic systems in a systematic way avoiding solving equilibrium points and Lyapunov exponents. The proposed controller has simple structure and is designed easily. Two numerical simulations are presented to verify the proposed theory and the simulation results illustrate the effectiveness of the method.