Adaptive Projective Lag Synchronization of T and Lu Chaotic Systems

In this paper, the synchronization problem of T chaotic system and Lu chaotic system is studied. The parameter of the drive T chaotic system is considered unknown. An adaptive projective lag control method and also parameter estimation law are designed to achieve chaos synchronization problem between two chaotic systems. Then Lyapunov stability theorem is utilized to prove the validity of the proposed control method. After that, some numerical simulations are performed to assess the performance of the proposed method. The results show high accuracy of the proposed method in control and synchronization of chaotic systems

Modified Projective Synchronization of Chaotic Systems with Noise Disturbance, an Active Nonlinear Control Method

The synchronization problem of chaotic systems using active modified projective nonlinear control method is rarely addressed. Thus the concentration of this study is to derive a modified projective controller to synchronize the two chaotic systems. Since, the parameter of the master and follower systems are considered known, so active methods are employed instead of adaptive methods. The validity of the proposed controller is studied by means of the Lyapunov stability theorem. Furthermore, some numerical simulations are shown to verify the validity of the theoretical discussions. The results demonstrate the effectiveness of the proposed method in both speed and accuracy points of views

Chaos synchronization of TSUCS unified chaotic system, a modified function projective control method

summary:The synchronization problem of the three-scroll unified chaotic system (TSUCS) is studied in this paper. A modified function projective synchronization (MFPS) method is developed to achieve this goal. Furthermore, the only parameter of the TSUCS unified chaotic system is considered unknown and estimated with an appropriate parameter estimation law. MFPS method is investigated for both identical and non-identical chaotic systems. Lyapunov stability theorem is utilized to verify the proposed feedback control laws and validate the proposed synchronization scheme. Finally, some numerical simulations are presented to assess the effectiveness of the theoretical discussions

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. Keywords: Chaos synchronization, Linear feedback controller, Finance chaotic system, Parameter identificatio