Stability and hybrid synchronization of a time-delay financial hyperchaotic system

Abstract

This paper studies stability and hybrid synchronization of a time-delay financial hyperchaotic system. Based on Lyapunov stability theorem and differential inequalities, stability is obtained by intermittent linear state feedback control. Furthermore, hybrid synchronization method is firstly proposed to synchronize a financial hyperchaotic system and globally synchronization is obtained by proper hybrid controllers and Lyapunov stability theorem. The corresponding numerical simulations are performed to verify and illustrate the effectiveness and correctness of proposing methods.