中国物理B ›› 2026, Vol. 35 ›› Issue (2): 20202-020202.doi: 10.1088/1674-1056/adf180

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Intralayer structure reconstruction of general weighted output-coupling multilayer complex networks

Xinwei Wang(王欣伟)1,2, Yayong Wu(吴亚勇)1,2, Ying Zheng(郑颖)1,2, and Guo-Ping Jiang(蒋国平)1,2,†   

  1. 1 College of Automation and College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
    2 Jiangsu Engineering Laboratory for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China
  • 收稿日期:2025-05-22 修回日期:2025-07-08 接受日期:2025-07-18 发布日期:2026-02-05
  • 通讯作者: Guo-Ping Jiang E-mail:jianggp@njupt.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62373197), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 23KJB120010), the Industry-University-Research Cooperation Project of Jiangsu Province, China (Grant No. BY20251038), and the Cultivation and Incubation Project of the College of Automation, Nanjing University of Posts and Telecommunications.

Intralayer structure reconstruction of general weighted output-coupling multilayer complex networks

Xinwei Wang(王欣伟)1,2, Yayong Wu(吴亚勇)1,2, Ying Zheng(郑颖)1,2, and Guo-Ping Jiang(蒋国平)1,2,†   

  1. 1 College of Automation and College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
    2 Jiangsu Engineering Laboratory for IOT Intelligent Robots (IOTRobot), Nanjing 210023, China
  • Received:2025-05-22 Revised:2025-07-08 Accepted:2025-07-18 Published:2026-02-05
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62373197), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 23KJB120010), the Industry-University-Research Cooperation Project of Jiangsu Province, China (Grant No. BY20251038), and the Cultivation and Incubation Project of the College of Automation, Nanjing University of Posts and Telecommunications.

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摘要： Multilayer complex dynamical networks, characterized by the intricate topological connections and diverse hierarchical structures, present significant challenges in determining complete structural configurations due to the unique functional attributes and interaction patterns inherent to different layers. This paper addresses the critical question of whether structural information from a known layer can be used to reconstruct the unknown intralayer structure of a target layer within general weighted output-coupling multilayer networks. Building upon the generalized synchronization principle, we propose an innovative reconstruction method that incorporates two essential components in the design of structure observers, the cross-layer coupling modulator and the structural divergence term. A key advantage of the proposed reconstruction method lies in its flexibility to freely designate both the unknown target layer and the known reference layer from the general weighted output-coupling multilayer network. The reduced dependency on full-state observability enables more deployment in engineering applications with partial measurements. Numerical simulations are conducted to validate the effectiveness of the proposed structure reconstruction method.

关键词: multilayer network, structure reconstruction, cross-layer coupling modulator, output coupling

Abstract: Multilayer complex dynamical networks, characterized by the intricate topological connections and diverse hierarchical structures, present significant challenges in determining complete structural configurations due to the unique functional attributes and interaction patterns inherent to different layers. This paper addresses the critical question of whether structural information from a known layer can be used to reconstruct the unknown intralayer structure of a target layer within general weighted output-coupling multilayer networks. Building upon the generalized synchronization principle, we propose an innovative reconstruction method that incorporates two essential components in the design of structure observers, the cross-layer coupling modulator and the structural divergence term. A key advantage of the proposed reconstruction method lies in its flexibility to freely designate both the unknown target layer and the known reference layer from the general weighted output-coupling multilayer network. The reduced dependency on full-state observability enables more deployment in engineering applications with partial measurements. Numerical simulations are conducted to validate the effectiveness of the proposed structure reconstruction method.

Key words: multilayer network, structure reconstruction, cross-layer coupling modulator, output coupling

中图分类号:  (Control theory)

  • 02.30.Yy
07.05.Dz (Control systems) 05.45.Xt (Synchronization; coupled oscillators)