Title :
Chaos Control and Projective Synchronization of a Fractional-Order Financial System
Author :
Maosong Yang ; Duan Dong ; Shaojuan Ma
Author_Institution :
Sch. of Math. & Inf. Sci., Beifang Univ. of Nat., Yinchuan, China
Abstract :
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.
Keywords :
Routh methods; chaos; closed loop systems; differential equations; financial management; nonlinear control systems; open loop systems; stability criteria; synchronisation; chaos control; control parameter; fractional differential equations; fractional-order Routh-Hurwitz conditions; fractional-order financial system; necessary criteria; numerical simulation; open-plus-closed-loop controller; projective synchronization; stability theorem; washout filter control scheme; Chaotic communication; Control systems; Differential equations; Economics; Stability analysis; Synchronization; chaos control; fractional-order financial system; open-plus-closed-loop control; projective synchronization; washout filter;
Conference_Titel :
Information Science and Control Engineering (ICISCE), 2015 2nd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4673-6849-0
DOI :
10.1109/ICISCE.2015.150
