Adaptive control and synchronization of uncertain unified chaotic system by cellular neural networks

2010 ◽  
Author(s):  
Chao-Jung Cheng ◽  
Jung-Ruen Tsai
Keyword(s):  
Neural Networks ◽  
Adaptive Control ◽  
Chaotic System ◽  
Cellular Neural Networks ◽  
Unified Chaotic System ◽  
Control And Synchronization

Impulsive control and synchronization of unified chaotic system

2004 ◽  
Vol 20 (4) ◽  
pp. 751-758 ◽  
Author(s):  
Shihua Chen ◽  
Qing Yang ◽  
Changping Wang
Keyword(s):  
Chaotic System ◽  
Impulsive Control ◽  
Unified Chaotic System ◽  
Control And Synchronization

On Complete Control and Synchronization of Zhang Chaotic System with Uncertain Parameters using Adaptive Control Method

2018 ◽  
Vol 7 (1) ◽  
pp. 45-50 ◽  
Author(s):  
Hamed Tirandaz
Keyword(s):  
Adaptive Control ◽  
Chaotic System ◽  
Control Method ◽  
Three Dimensional ◽  
Parameters Estimation ◽  
Control Law ◽  
Complete Control ◽  
Synchronization Problem ◽  
Control And Synchronization ◽  
Adaptive Control Law

Abstract Chaos control and synchronization of chaotic systems is seemingly a challenging problem and has got a lot of attention in recent years due to its numerous applications in science and industry. This paper concentrates on the control and synchronization problem of the three-dimensional (3D) Zhang chaotic system. At first, an adaptive control law and a parameter estimation law are achieved for controlling the behavior of the Zhang chaotic system. Then, non-identical synchronization of Zhang chaotic system is provided with considering the Lü chaotic system as the follower system. The synchronization problem and parameters identification are achieved by introducing an adaptive control law and a parameters estimation law. Stability analysis of the proposed method is proved by the Lyapanov stability theorem. In addition, the convergence of the estimated parameters to their truly unknown values are evaluated. Finally, some numerical simulations are carried out to illustrate and to validate the effectiveness of the suggested method.

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