Adaptive Synchronization for a Class of Fractional Order Time-delay Uncertain Chaotic Systems via Fuzzy Fractional Order Neural Network

2019 ◽  
Vol 17 (5) ◽  
pp. 1209-1220 ◽  
Author(s):  
Xingpeng Zhang ◽  
Xiaohong Zhang ◽  
Dong Li ◽  
Dan Yang
Keyword(s):  
Neural Network ◽  
Time Delay ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Adaptive Synchronization ◽  
Uncertain Chaotic Systems

scholarly journals Adaptive Predefined-Time Synchronization of Two Different Fractional-Order Chaotic Systems With Time-Delay

IEEE Access ◽  
2021 ◽  
Vol 9 ◽  
pp. 31908-31920
Author(s):  
Lixiong Lin ◽  
Qing Wang ◽  
Bingwei He ◽  
Yanjie Chen ◽  
Xiafu Peng ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Time Synchronization

ADAPTIVE OBSERVER BASED SYNCHRONIZATION OF A CLASS OF UNCERTAIN CHAOTIC SYSTEMS

2008 ◽  
Vol 18 (08) ◽  
pp. 2425-2435 ◽  
Author(s):  
SAMUEL BOWONG ◽  
RENÉ YAMAPI
Keyword(s):  
Chaotic Systems ◽  
Lyapunov Stability Theory ◽  
Adaptive Observer ◽  
Adaptive Synchronization ◽  
External Disturbances ◽  
Parameter Mismatch ◽  
Lipschitz Constants ◽  
Response Systems ◽  
Uncertain Chaotic Systems ◽  
Robust Adaptive

This study addresses the adaptive synchronization of a class of uncertain chaotic systems in the drive-response framework. For a class of uncertain chaotic systems with parameter mismatch and external disturbances, a robust adaptive observer based on the response system is constructed to practically synchronize the uncertain drive chaotic system. Lyapunov stability theory ensures the practical synchronization between the drive and response systems even if Lipschitz constants on function matrices and bounds on uncertainties are unknown. Numerical simulation of two illustrative examples are given to verify the effectiveness of the proposed method.

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