Synchronization Method for a Class of Fractional-order and Integer-order Chaotic Systems

Abstract

This paper focuses on the synchronization issues between a class of fractional-order and integer-order chaotic systems. A closed-loop control system is introduced following the linear feedback control and fractional-order stability theories to address the synchronization issues. Appropriate coefficients in this paper mentioned synchronization are adopted to guarantee the finite time asymptotical stability of resulting synchronization error due to the disturbances. The proposed control scheme is validated using simulations, and the results illustrate that the proposed controller can implement the synchronization between a class of fractional-order chaotic systems and integer-order chaotic systems, two variable structure fractional-order chaotic systems or two mismatched fractional-order chaotic systems.