Chaos synchronization and parameter identification of a finance chaotic system with unknown parameters, a linear feedback controller

In this research study, an adaptive linear feedback controller is presented for controlling the behavior of a financial chaotic system and identical/non-identical synchronization with unknown system parameters. An adaptive linear feedback controller is introduced based on the Lyapunov stability theorem, which is added to the nonlinear chaotic systems to achieve synchronization. Furthermore, the disparity amount of system parameters is estimated simultaneously. Identical and non-identical synchronizations are followed by some numerical simulations to verify the validity of the proposed method. The results show the effectiveness of the theoretical discussions.