Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties

This paper deals with the asymptotic synchronization of fractional-order complex dynamical networks with different structures and parameter uncertainties (FCDNDP). Firstly, the FCDNDP model is proposed by the Riemann–Liouville (R-L) fractional derivative. According to the property of fractional calc...

Full description

Bibliographic Details
Main Authors: Xiliang He, Tianzeng Li, Dehui Liu
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Fractal and Fractional
Subjects:
Online Access:https://www.mdpi.com/2504-3110/6/8/441
_version_ 1797445260778930176
author Xiliang He
Tianzeng Li
Dehui Liu
author_facet Xiliang He
Tianzeng Li
Dehui Liu
author_sort Xiliang He
collection DOAJ
description This paper deals with the asymptotic synchronization of fractional-order complex dynamical networks with different structures and parameter uncertainties (FCDNDP). Firstly, the FCDNDP model is proposed by the Riemann–Liouville (R-L) fractional derivative. According to the property of fractional calculus and the Lyapunov direct method, an original controller is proposed to achieve the asymptotic synchronization of FCDNDP. Our controller is more adaptable and effective than those in other literature. Secondly, a sufficient condition is given for the asymptotic synchronization of FCDNDP based on the asymptotic stability theorem and the matrix inequality technique. Finally, the numerical simulations verify the effectiveness of the proposed method.
first_indexed 2024-03-09T13:24:12Z
format Article
id doaj.art-463fb8f3de4544f98a22858659ade2ae
institution Directory Open Access Journal
issn 2504-3110
language English
last_indexed 2024-03-09T13:24:12Z
publishDate 2022-08-01
publisher MDPI AG
record_format Article
series Fractal and Fractional
spelling doaj.art-463fb8f3de4544f98a22858659ade2ae2023-11-30T21:26:05ZengMDPI AGFractal and Fractional2504-31102022-08-016844110.3390/fractalfract6080441Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter UncertaintiesXiliang He0Tianzeng Li1Dehui Liu2School of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaSchool of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, ChinaThis paper deals with the asymptotic synchronization of fractional-order complex dynamical networks with different structures and parameter uncertainties (FCDNDP). Firstly, the FCDNDP model is proposed by the Riemann–Liouville (R-L) fractional derivative. According to the property of fractional calculus and the Lyapunov direct method, an original controller is proposed to achieve the asymptotic synchronization of FCDNDP. Our controller is more adaptable and effective than those in other literature. Secondly, a sufficient condition is given for the asymptotic synchronization of FCDNDP based on the asymptotic stability theorem and the matrix inequality technique. Finally, the numerical simulations verify the effectiveness of the proposed method.https://www.mdpi.com/2504-3110/6/8/441fractional ordercomplex dynamical networksasymptotic synchronizationparameter uncertainties
spellingShingle Xiliang He
Tianzeng Li
Dehui Liu
Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
Fractal and Fractional
fractional order
complex dynamical networks
asymptotic synchronization
parameter uncertainties
title Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
title_full Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
title_fullStr Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
title_full_unstemmed Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
title_short Asymptotic Synchronization of Fractional-Order Complex Dynamical Networks with Different Structures and Parameter Uncertainties
title_sort asymptotic synchronization of fractional order complex dynamical networks with different structures and parameter uncertainties
topic fractional order
complex dynamical networks
asymptotic synchronization
parameter uncertainties
url https://www.mdpi.com/2504-3110/6/8/441
work_keys_str_mv AT xilianghe asymptoticsynchronizationoffractionalordercomplexdynamicalnetworkswithdifferentstructuresandparameteruncertainties
AT tianzengli asymptoticsynchronizationoffractionalordercomplexdynamicalnetworkswithdifferentstructuresandparameteruncertainties
AT dehuiliu asymptoticsynchronizationoffractionalordercomplexdynamicalnetworkswithdifferentstructuresandparameteruncertainties