Title : ( Synchronisation of fractional dynamical chaotic systems with several slaves )
Authors: Mohsen Farmani Ardehaei , Mohammad Hadi Farahi , Sohrab Effati ,
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Abstract
In this paper, a synchronisation of dynamical chaotic systems in fractional order using active control is considered. A novel back-stepping approach is proposed to design an active control and a Lyapunov function. This method is an approach that interlaces the design of active control with the choice of a Lyapunov function. Based on stability theorems in fractional calculus, analysis of stability is performed for the proposed method. Numerical results illustrate the effectiveness of the method.
Keywords
synchronisation; chaotic systems; fractional calculus; chaotic synchronisation; Lyapunov function; stability; active control.
@article{paperid:1092983,
author = {Farmani Ardehaei, Mohsen and Farahi, Mohammad Hadi and Effati, Sohrab},
title = {Synchronisation of fractional dynamical chaotic systems with several slaves},
journal = {International Journal of Dynamical Systems and Differential Equations},
year = {2022},
volume = {12},
number = {6},
month = {January},
issn = {1752-3583},
pages = {510--526},
numpages = {16},
keywords = {synchronisation; chaotic systems; fractional calculus; chaotic
synchronisation; Lyapunov function; stability; active control.},
}
%0 Journal Article
%T Synchronisation of fractional dynamical chaotic systems with several slaves
%A Farmani Ardehaei, Mohsen
%A Farahi, Mohammad Hadi
%A Effati, Sohrab
%J International Journal of Dynamical Systems and Differential Equations
%@ 1752-3583
%D 2022
