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...
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MDPI AG
2022-08-01
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Series: | Fractal and Fractional |
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Online Access: | https://www.mdpi.com/2504-3110/6/8/441 |
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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. |
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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 |