Robust adaptive modified function projective synchronization of different hyperchaotic systems subject to external disturbance

2012 ◽  
Vol 17 (6) ◽  
pp. 2602-2608 ◽  
Author(s):  
Guiyuan Fu
Keyword(s):  
External Disturbance ◽  
Projective Synchronization ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
Robust Adaptive ◽  
Hyperchaotic Systems

scholarly journals Modified Function Projective Synchronization of Financial Hyperchaotic Systems via Adaptive Impulsive Controller with Unknown Parameters

2015 ◽  
Vol 2015 ◽  
pp. 1-11
Author(s):  
Guoliang Cai ◽  
Lingling Zhang ◽  
Lan Yao ◽  
Xiulei Fang
Keyword(s):  
Sufficient Conditions ◽  
Impulsive System ◽  
Stability Theorem ◽  
Projective Synchronization ◽  
Lyapunov Stability Theorem ◽  
Unknown Parameters ◽  
Function Projective Synchronization ◽  
Modified Function Projective Synchronization ◽  
The Stability ◽  
Hyperchaotic Systems

Modified function projective synchronization via adaptive impulsive controller between two different financial hyperchaotic systems is investigated, where the external uncertainties are considered. The updated laws of the unknown parameters are given and the sufficient conditions are deduced based on Lyapunov stability theorem and the stability analysis of impulsive system. Finally, the two financial hyperchaotic systems are taken for example and the numerical examples are worked through for illustrating the main results.

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