Linear control for mixed synchronization of a fractional-order chaotic system

This paper studies the mixed synchronization of a fractional-order chaotic system. By designing a simple linear controller, anti-phase synchronization of the first two pairs of output signals between the unidirectional systems are realized, and the third pair of signals is complete synchronous. The control scheme is theoretically proven based on final-value theorem of the Laplace transformation, numerical simulations are further provided to verify the feasibility of the theoretical analysis.