Combination synchronization of fractional order n-chaotic systems using active backstepping design

Combination synchronization of fractional order n-chaotic systems using active backstepping design

In this article, a scheme using active backstepping design method is proposed to achieve combination synchronization of n number of fractional order chaotic systems. In the proposed method the controllers are designed with the help of a new lemma and Lyapunov function in a systematic way. Synchroniz...

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Main Authors: Yadav Vijay K., Das S.
Format: Article
Language:English
Published: De Gruyter 2019-01-01
Series:Nonlinear Engineering
Subjects:
Backstepping method
Lyapunov stability theory
Synchronization
Fractional order chaotic systems
Online Access:http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0073/nleng-2017-0073.xml?format=INT
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spelling doaj-84a9d7b4d55d45dc87d1d2796b5e318c2020-11-24T21:29:07ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018159760810.1515/nleng-2017-0073nleng-2017-0073Combination synchronization of fractional order n-chaotic systems using active backstepping designYadav Vijay K.0Das S.1Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, IndiaDepartment of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, IndiaIn this article, a scheme using active backstepping design method is proposed to achieve combination synchronization of n number of fractional order chaotic systems. In the proposed method the controllers are designed with the help of a new lemma and Lyapunov function in a systematic way. Synchronization among three/four fractional order systems have been shown as examples of synchronization of n-chaotic systems. Numerical simulation and graphical results clearly exhibit that the method of this new procedure is easy to implement and reliable for synchronization of fractional order chaotic systems.http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0073/nleng-2017-0073.xml?format=INTBackstepping methodLyapunov stability theorySynchronizationFractional order chaotic systems
collection DOAJ
language English
format Article
sources DOAJ
author Yadav Vijay K.
Das S.
spellingShingle Yadav Vijay K.
Das S.
Combination synchronization of fractional order n-chaotic systems using active backstepping design
Nonlinear Engineering
Backstepping method
Lyapunov stability theory
Synchronization
Fractional order chaotic systems
author_facet Yadav Vijay K.
Das S.
author_sort Yadav Vijay K.
title Combination synchronization of fractional order n-chaotic systems using active backstepping design
title_short Combination synchronization of fractional order n-chaotic systems using active backstepping design
title_full Combination synchronization of fractional order n-chaotic systems using active backstepping design
title_fullStr Combination synchronization of fractional order n-chaotic systems using active backstepping design
title_full_unstemmed Combination synchronization of fractional order n-chaotic systems using active backstepping design
title_sort combination synchronization of fractional order n-chaotic systems using active backstepping design
publisher De Gruyter
series Nonlinear Engineering
issn 2192-8010
2192-8029
publishDate 2019-01-01
description In this article, a scheme using active backstepping design method is proposed to achieve combination synchronization of n number of fractional order chaotic systems. In the proposed method the controllers are designed with the help of a new lemma and Lyapunov function in a systematic way. Synchronization among three/four fractional order systems have been shown as examples of synchronization of n-chaotic systems. Numerical simulation and graphical results clearly exhibit that the method of this new procedure is easy to implement and reliable for synchronization of fractional order chaotic systems.
topic Backstepping method
Lyapunov stability theory
Synchronization
Fractional order chaotic systems
url http://www.degruyter.com/view/j/nleng.2019.8.issue-1/nleng-2017-0073/nleng-2017-0073.xml?format=INT
work_keys_str_mv AT yadavvijayk combinationsynchronizationoffractionalordernchaoticsystemsusingactivebacksteppingdesign
AT dass combinationsynchronizationoffractionalordernchaoticsystemsusingactivebacksteppingdesign
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