Synchronization of a class of incommensurate fractional order chaotic system with its application

Abstract

In this paper, chaos synchronization problem of the fractional incommensurate order system is investigated by using the nonlinear feedback control scheme. Synchronization sufficient conditions are analyzed based on the Lyapunov stability theory. Moreover, the control scheme can be used in secure communication via the technology of chaotic masking with complex non-periodic information signals. And numerical simulations are provided to verify the validity of the proposed method.