Chaotic Characteristics Analysis and Circuit Implementation for a Fractional-Order System

2014 ◽  
Vol 61 (3) ◽  
pp. 845-853 ◽  
Author(s):  
H. Y. Jia ◽  
Z. Q. Chen ◽  
G. Y. Qi
2015 ◽  
Vol 733 ◽  
pp. 939-942
Author(s):  
Xiao Jun Liu

In this paper, adaptive synchronization of a stochastic fractional-order system with unknown parameters is studied. Firstly, the stochastic system is reduced into the equivalent deterministic one with Laguerre approximation. Then, the synchronization for the system is realized by designing appropriate controllers and adaptive laws of the unknown parameters. Numerical simulations are carried out to demonstrate the effectiveness of the controllers and laws.


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