Chaos Control and Projective Synchronization of a Fractional-Order Financial System

This paper addresses chaos control and projective synchronization of a fractional-order financial system. In this work, we present a washout filter control scheme for the chaos control and an open-plus-closed-loop controller for projective synchronization. Meanwhile, by the fractional-order Routh -- Hurwitz conditions and the stability theorem of fractional differential equations, the scale of control parameter and the necessary criteria of projective synchronization are all given. At last, through numerical simulations, feasibility and effectiveness of the proposed control scheme is illustrated, and by the washout filter controller, the fractional-order financial system can be stabilized to a periodic orbit.