Analysis of the fractional order system in the thermal diffusive interface - Part 1: Application to a semi-infinite plane medium

2012 ◽  
Author(s):  
Roy Abi Zeid Daou ◽  
Xavier Moreau ◽  
Riad Assaf ◽  
Fady christophy
Keyword(s):  
Fractional Order ◽  
Fractional Order System ◽  
Order System ◽  
Infinite Plane ◽  
Plane Medium ◽  
Diffusive Interface

Adaptive Synchronization of a Stochastic Fractional-Order System

2015 ◽  
Vol 733 ◽  
pp. 939-942
Author(s):  
Xiao Jun Liu
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Stochastic System ◽  
Fractional Order System ◽  
Adaptive Synchronization ◽  
Order System ◽  
Unknown Parameters ◽  
Adaptive Laws

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.

scholarly journals Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

2016 ◽  
Vol 66 (3) ◽  
pp. 40-49 ◽  
Author(s):  
Mihailo Lazarevic ◽  
Nikola Djurovic ◽  
Bosko Cvetkovic ◽  
Petar Mandic ◽  
Ljubisa Bucanovic
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning ◽  
Fractional Order System ◽  
Order System ◽  
System P
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