Synchronization Control Of Chaotic Financial System With Model Uncertainty And Unknown Disturbance

Nonlinear factors are everywhere in the financial system,due to nonlinear action,the system exhibits rich dynamical behavior and produces chaotic phenomena under certain conditions.The study on the mathematical model of chaotic financial system is helpful to deeply understand the chaotic phenomenon in the financial market and reveal the essence of market operation,and the synchronization control of chaotic financial system is useful to predict the financial trend and avoid financial risks,which has theoretical and practical significance.Since the parameters of the actual financial system are usually unknown,and there are unmodeled dynamics in the description of the mathematical model,in addition the system is inevitably a?ected by external disturbances,the synchronization control problem of the chaotic financial system with model uncertainty and unknown disturbance is considered.First,based on Lyapunov stability theory,linear sliding modes are constructed and the adaptive sliding mode synchronization control laws and parameter renewal laws are given to account for asymptotic synchronization of two chaotic financial systems.Secondly,the terminal sliding mode surface is constructed,on which the dynamic response of the system has faster convergence speed than on the traditional sliding mode surface,and the sliding control laws with parameter renewal laws are presented,so that the two chaotic financial systems achieve finite time synchronization.The e?ectiveness of the proposed control method is validated from both theoretical derivation and simulation.