Projective synchronization of a 4D financial hyper-chaotic system with model uncertainty and external disturbance

Abstract

Abstract This paper investigates the projective synchronization problem of a 4D financial hyper-chaotic system. Firstly, it is proven that projective synchronization problem of such system exists. Moreover, a non-singular transformation is found and used to divide the 4D financial hyper-chaotic system into two subsystems. Secondly, a UDE-based single input controller is proposed and be used to realize this projective synchronization problem. Finally, the correctness and effectiveness of the proposed results is verified by numerical simulations.