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Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs

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  • Zhang, Wanli
  • Yang, Xinsong
  • Yang, Shiju
  • Alsaedi, Ahmed

Abstract

In this paper, we study finite-time (FET) and fixed-time (FDT) bipartite synchronization of complex networks (CNs) with signed graphs. Under the framework of signed graphs, the interactions between nodes can be either collaborative or antagonistic, which are different from the traditional CNs. Two types of control schemes without the sign function are designed to realize FET and FDT bipartite synchronization of CNs, respectively. By 1-norm analytical techniques and Lyapunov functional method, FET bipartite synchronization criterion is established. By means of the constructed comparison system, FDT bipartite synchronization is proved. In addition, the settling times of both FET synchronization and FDT synchronization are estimated. It is worth noting that the settling time of FDT bipartite synchronization is not related to the initial values. Moreover, numerical simulations are given to illustrate the new results.

Suggested Citation

  • Zhang, Wanli & Yang, Xinsong & Yang, Shiju & Alsaedi, Ahmed, 2021. "Finite-time and fixed-time bipartite synchronization of complex networks with signed graphs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 319-329.
    • Handle: RePEc:eee:matcom:v:188:y:2021:i:c:p:319-329
    DOI: 10.1016/j.matcom.2021.04.013
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    Cited by:

    1. Suo, JingJing & Hu, Hongxiao & Xu, Liguang, 2023. "Delay-dependent impulsive control for lag quasi-synchronization of stochastic complex dynamical networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 134-153.
    2. Sun, Ruyi & Chang, Jiaqi & Wang, Hongmei & Li, Miaomiao & Sun, Yongzheng, 2024. "Time and energy costs for synchronization of multi-layer networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 440-455.
    3. Chao Li & Qiming Yang & Bowen Pang & Tiance Chen & Qian Cheng & Jiaomin Liu, 2021. "A Mixed Strategy of Higher-Order Structure for Link Prediction Problem on Bipartite Graphs," Mathematics, MDPI, vol. 9(24), pages 1-13, December.
    4. Huafei Chen & Jia Chen & Dan Qu & Kelin Li & Fei Luo, 2022. "An Uncertain Sandwich Impulsive Control System with Impulsive Time Windows," Mathematics, MDPI, vol. 10(24), pages 1-14, December.
    5. Yang, Shiju & Li, Chuandong & He, Xiping & Zhang, Wanli, 2022. "Variable-time impulsive control for bipartite synchronization of coupled complex networks with signed graphs," Applied Mathematics and Computation, Elsevier, vol. 420(C).

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