Global Asymptotic Synchronization of Nonlinear Hyperchaotic Financial Systems via Hybrid Control and Adaptive Projection Control

In this paper, the hybrid synchronization and adaptive projective synchronization of a nonlinear hyperchaotic financial system are discussed. On based of the Routh Hurwitz criterion and the Lyapunov differential equation stability theory, we designed some special controllers to realize the global asymptotic synchronization of hyperchaotic financial systems under different Initial condition. The hybrid feedback controllers are designed for the system parameters are known. The hybrid synchronization of the system is investigated. The synchronization error system between the drive system and the response system achieves asymptotically stable. The increased order synchronization of two different dimensional financial systems is investigated. If the unknown parameters, the adaptive control is extended to projective synchronization of two different hyperchaotic financial systems. The parameter estimation update law and the special adaptive controller are designed. The numerical simulation results show that proposed schemes and theoretical analysis results are effective.