New Synchronization Criterion of Incommensurate Fractional-Order Chaotic Systems

Abstract

The synchronization of fractional-order (FO) chaotic systems has received much attention in recent years. However, most research was focused on FO commensurate systems. In this brief, the synchronization of incommensurate fractional-order (IFO) chaotic systems is addressed. By employing the linear feedback control method, a new sufficient condition is proposed to ensure the synchronization of IFO chaotic systems. Compared with other approaches reported in the literature, the new method depends just on the system's parameters, is easier to implement in engineering practice, applies to systems with FO in the interval (0, 2), and is still valid for synchronizing IFO chaotic systems of irrational order. The effectiveness of the theoretical findings is illustrated by numerical simulations using two IFO chaotic systems.