JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (11): 53-60.doi: 10.6040/j.issn.1671-9352.0.2022.322

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Topology identification of fractional complex networks based on variable substitution control method

Weiyuan MA1(),Zhiming LI2,Changping DAI1   

  1. 1. School of Mathematics and Computer Science, Northwest Minzu University, Lanzhou 730030, Gansu, China
    2. Guizhou Aerospace Tianma Electromechanical Technology Co., Ltd., Zunyi 563000, Guizhou, China
  • Received:2022-05-30 Online:2023-11-20 Published:2023-11-07

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Abstract:

In this paper, synchronization and topology identification of fractional-order complex dynamical networks based on the variable substitution control method are studied. The considered network constructs a response network and parameter update law with variable substitution control. Based on the stability theory of fractional differential systems, the criteria for realizing topology identification and synchronization are deduced. Finally, the effectiveness and feasibility of the proposed method are verified by numerical simulation.

Key words: variable substitution control, topology identification, synchronization, complex network

CLC Number: 

  • N941.4

Fig.1

The evolution effect of the unknown topology over time in Example 1"

Fig.2

Synchronization error in Example 1"

Fig.3

The overall mean error for different fractional orders in Example 1"

Fig.4

The identification effect of unknown topologies in Example 2"

Fig.5

The synchronization error in Example 2"

Fig.6

The overall mean error for different fractional orders in Example 2"

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