An improved impulsive control approach to robust lag synchronization between two different chaotic systems

2010 ◽  
Vol 19 (9) ◽  
pp. 090502 ◽  
Author(s):  
Ma Tie-Dong ◽  
Fu Jie ◽  
Sun Yue
Keyword(s):  
Chaotic Systems ◽  
Impulsive Control ◽  
Lag Synchronization ◽  
Control Approach ◽  
Different Chaotic Systems

Robust lag synchronization between two different chaotic systems via dual-stage impulsive control

2009 ◽  
Vol 18 (9) ◽  
pp. 3751-3757 ◽  
Author(s):  
Zhang Hua-Guang ◽  
Ma Tie-Dong ◽  
Fu Jie ◽  
Tong Shao-Cheng
Keyword(s):  
Chaotic Systems ◽  
Impulsive Control ◽  
Lag Synchronization ◽  
Dual Stage ◽  
Different Chaotic Systems

A practical approach to robust impulsive lag synchronization between different chaotic systems

2008 ◽  
Vol 17 (10) ◽  
pp. 3616-3622 ◽  
Author(s):  
Zhang Hua-Guang ◽  
Ma Tie-Dong ◽  
Yu Wen ◽  
Fu Jie
Keyword(s):  
Chaotic Systems ◽  
Practical Approach ◽  
Lag Synchronization ◽  
Different Chaotic Systems

scholarly journals Robust Adaptive Finite-Time Synchronization of Two Different Chaotic Systems with Parameter Uncertainties

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Yun-An Hu ◽  
Hai-Yan Li ◽  
Chun-Ping Zhang ◽  
Liang Liu
Keyword(s):  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Adaptive Synchronization ◽  
Parameter Uncertainties ◽  
Unknown Parameters ◽  
Control Approach ◽  
Different Chaotic Systems

This paper is concerned with the finite-time synchronization problem for two different chaotic systems with parameter uncertainties. Using finite-time control approach and robust control method, an adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. On the basis of Lyapunov stability theory, appropriate adaptive laws are derived to deal with the unknown parameters of the systems. And the convergence of the parameter errors is guaranteed in a finite time. The proposed method can be applied to a variety of chaos systems. Numerical simulations are given to demonstrate the efficiency of the proposed control scheme.

Chaos Anti-Synchronization between Chen System and Lu System

2014 ◽  
Vol 631-632 ◽  
pp. 710-713 ◽  
Author(s):  
Xian Yong Wu ◽  
Hao Wu ◽  
Hao Gong
Keyword(s):  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Lyapunov Theory ◽  
State Variables ◽  
Chen System ◽  
System Parameters ◽  
Control Scheme ◽  
Error Dynamics ◽  
The Stability ◽  
Different Chaotic Systems

Anti-synchronization of two different chaotic systems is investigated. On the basis of Lyapunov theory, adaptive control scheme is proposed when system parameters are unknown, sufficient conditions for the stability of the error dynamics are derived, where the controllers are designed using the sum of the state variables in chaotic systems. Numerical simulations are performed for the Chen and Lu systems to demonstrate the effectiveness of the proposed control strategy.

Reliable impulsive lag synchronization for a class of nonlinear discrete chaotic systems

2009 ◽  
Vol 59 (4) ◽  
pp. 529-534 ◽  
Author(s):  
Liping Zhang ◽  
Haibo Jiang ◽  
Qinsheng Bi
Keyword(s):  
Chaotic Systems ◽  
Lag Synchronization
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