Generalized projective synchronization of two chaotic systems

2014 ◽  
Author(s):  
Xiaohui Sun ◽  
Xilin Fu
Keyword(s):  
Chaotic Systems ◽  
Projective Synchronization ◽  
Generalized Projective Synchronization

Generalized projective synchronization in time-delayed chaotic systems

2008 ◽  
Vol 38 (3) ◽  
pp. 743-747 ◽  
Author(s):  
Cun-Fang Feng ◽  
Yan Zhang ◽  
Jin-Tu Sun ◽  
Wei Qi ◽  
Ying-Hai Wang
Keyword(s):  
Chaotic Systems ◽  
Projective Synchronization ◽  
Generalized Projective Synchronization

Generalized Projective Synchronization for a Class of Continuous Chaotic Systems

2011 ◽  
Vol 50-51 ◽  
pp. 258-261
Author(s):  
Ya Fei Zhou ◽  
Dong Zhang
Keyword(s):  
Numerical Simulation ◽  
Chaotic Systems ◽  
Mathematical Proof ◽  
Construction Method ◽  
Projective Synchronization ◽  
Response System ◽  
Simulation Results ◽  
Generalized Projective Synchronization

In this paper, a generalized projective synchronization (GPS) scheme for a class of continuous chaotic systems is investigated by using only one sate variable and its time derivatives. The construction method of response system is proposed. The mathematical proof of the GPS scheme is provided. The synchronization technique is simple and theoretically rigorous. Finally, the corresponding numerical simulation results demonstrate the effectiveness of the proposed schemes.

scholarly journals Generalized Projective Synchronization of Chaotic Heavy Gyroscope Systems via Sliding Rule-Based Fuzzy Control

2012 ◽  
Vol 2012 ◽  
pp. 1-10
Author(s):  
Faezeh Farivar ◽  
Mahdi Aliyari Shoorehdeli ◽  
Mohammad Ali Nekoui ◽  
Mohammad Teshnehlab
Keyword(s):  
Fuzzy Control ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Fuzzy Rules ◽  
Projective Synchronization ◽  
Nonlinear Controller ◽  
External Disturbances ◽  
Chaotic Motions ◽  
Rule Based ◽  
Generalized Projective Synchronization

This paper proposes the generalized projective synchronization for chaotic heavy symmetric gyroscope systems versus external disturbances via sliding rule-based fuzzy control. Because of the nonlinear terms of the gyroscope, the system exhibits complex and chaotic motions. Based on Lyapunov stability theory and fuzzy rules, the nonlinear controller and some generic sufficient conditions for global asymptotic synchronization are attained. The fuzzy rules are directly constructed subject to a common Lyapunov function such that the error dynamics of two identical chaotic motions of symmetric gyros satisfy stability in the Lyapunov sense. The proposed method allows us to arbitrarily adjust the desired scaling by controlling the slave system. It is not necessary to calculate the Lyapunov exponents and the Eigen values of the Jacobian matrix. It is a systematic procedure for synchronization of chaotic systems. It can be applied to a variety of chaotic systems no matter whether it contains external excitation or not. It needs only one controller to realize synchronization no matter how much dimensions the chaotic system contains, and the controller is easy to be implemented. The designed controller is robust versus model uncertainty and external disturbances. Numerical simulation results demonstrate the validity and feasibility of the proposed method.

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