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Identification and Synchronization of Switching Fractional-Order Complex Networks with Time-Varying Delays Based on a Fuzzy Method

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Abstract

In this paper, synchronization of fractional-order complex networks with switching topology, time-varying delays is studied. The topology of slave network is considered unknown and it is identified by a fractional adaptive method. Impulsive effects are added to the fractional adaption laws to accelerate the identification process. Dynamics of each node of the network are considered as chaotic dynamic and circuit realization of this time-delayed fractional-order dynamic is implemented. Based on T–S fuzzy modeling, a new representation of fractional-order chaotic systems is presented. An impulsive control method is extended to the synchronization of fractional-order networks. Simulation and practical results are used to verify the performance of the proposed method.

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Acknowledgements

We gratefully thank the University of Tabriz for financial support. This project has been supported by a research grant of the University of Tabriz (Number 2887).

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Authors and Affiliations

  1. Department of Control Engineering, Faculty of Electrical and Computer Engineering, University of Tabriz, Office: Room 348, Tabriz, Iran

    Reza Behinfaraz

  2. Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran

    Sehraneh Ghaemi

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  1. Reza Behinfaraz
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  2. Sehraneh Ghaemi
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Correspondence to Reza Behinfaraz.

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Behinfaraz, R., Ghaemi, S. Identification and Synchronization of Switching Fractional-Order Complex Networks with Time-Varying Delays Based on a Fuzzy Method. Int. J. Fuzzy Syst. 24, 2203–2214 (2022). https://doi.org/10.1007/s40815-022-01285-0

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