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Asymptotic synchronization of fractional order non-identical complex dynamical networks with Parameter Uncertainties
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  • S Aadhithiyan,
  • R. Raja,
  • Bo Kou,
  • G Selvam,
  • Michal Niezabitowski,
  • C.P Lim,
  • Jinde Cao
S Aadhithiyan
Alagappa University

Corresponding Author:aadhithiyanphd@gmail.com

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R. Raja
Alagappa University
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Bo Kou
Southeast University
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G Selvam
Vinayaka Missions University
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Michal Niezabitowski
Silesian University of Technology
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C.P Lim
Deakin University
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Jinde Cao
Southeast University
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Abstract

This article specically deals with the asymptotic synchronization of non-identical complex dynamic fractional order networks with uncertainty. Initially, by using the Riemann-Liouville derivative, we developed a model for the general non-identical complex network, and based on the properties of fractional order calculus and the direct Lyapunov method in fractional order, we proposed that drive and response system if nonidentical complex networks ensuring asymp-totic synchronization by using neoteric control. Second, taking into account the uncertainties of non-identical complex networks in state matrices and evaluating theirrequirements forasymptotic synchronization. In addition, to explain the eectiveness of the proposed approach, two numerical simulations are given.
10 Mar 2021Submitted to Mathematical Methods in the Applied Sciences
10 Mar 2021Submission Checks Completed
10 Mar 2021Assigned to Editor
14 Mar 2021Reviewer(s) Assigned
18 Jun 2021Review(s) Completed, Editorial Evaluation Pending
25 Jun 2021Editorial Decision: Revise Major
04 Aug 20211st Revision Received
04 Aug 2021Submission Checks Completed
04 Aug 2021Assigned to Editor
10 Aug 2021Reviewer(s) Assigned
24 Nov 2021Review(s) Completed, Editorial Evaluation Pending
01 Dec 2021Editorial Decision: Accept
08 Feb 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8080