Controlling chaos and synchronization for new chaotic system using linear feedback control

2005 ◽  
Vol 26 (3) ◽  
pp. 913-920 ◽  
Author(s):  
M.T. Yassen
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Controlling Chaos ◽  
New Chaotic System

scholarly journals Linear Feedback Synchronization Used in the Three-Dimensional Duffing System

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jian-qun Han ◽  
Xu-dong Shi ◽  
Hong Sun
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Control Method ◽  
Three Dimensional ◽  
Lyapunov Stability Theory ◽  
Linear Feedback ◽  
Nonlinear Feedback ◽  
Linear Feedback Control ◽  
Duffing System ◽  
Feedback Control Method

It has been realized that synchronization using linear feedback control method is efficient compared to nonlinear feedback control method due to the less computational complexity and the synchronization error. For the problem of feedback synchronization of Duffing chaotic system, in the paper, we firstly established three-dimensional Duffing system by method of variable decomposition and, then, studied the synchronization of Duffing chaotic system and designed the control law based on linear feedback control and Lyapunov stability theory. It is proved theoretically that the two identical integer order chaotic systems are synchronized analytically and numerically.

Non-linear feedback control of a novel chaotic system

2009 ◽  
Vol 7 (6) ◽  
pp. 939-944 ◽  
Author(s):  
Wuneng Zhou ◽  
Lin Pan ◽  
Zhong Li ◽  
Wolfgang A. Halang
Keyword(s):  
Feedback Control ◽  
Chaotic System ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Non Linear
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