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Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays

Author

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  • Guo, Xing
  • Lu, Jianquan
  • Alsaedi, Ahmed
  • Alsaadi, Fuad E.

Abstract

This paper studies the consensus problems over signed digraphs with arbitrary finite communication delays. For the considered system, the information flow is directed and only locally delayed information can be used for each node. We derive that bipartite consensus of this system can be realized when the associated signed digraph is strongly connected. Furthermore, for structurally balanced networks, this paper studies the pinning partite consensus for the considered system. we design a pinning scheme to pin any one agent in the signed network, and obtain that the network achieves pinning bipartite consensus with any initial conditions. Finally, two examples are provided to demonstrate the effectiveness of our main results.

Suggested Citation

  • Guo, Xing & Lu, Jianquan & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Bipartite consensus for multi-agent systems with antagonistic interactions and communication delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 488-497.
    • Handle: RePEc:eee:phsmap:v:495:y:2018:i:c:p:488-497
    DOI: 10.1016/j.physa.2017.12.078
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    References listed on IDEAS

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    1. Hu, Aihua & Cao, Jinde & Hu, Manfeng & Guo, Liuxiao, 2015. "Cluster synchronization of complex networks via event-triggered strategy under stochastic sampling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 434(C), pages 99-110.
    2. Zhang, Lingzhong & Yang, Yongqing & Wang, Fei, 2017. "Projective synchronization of fractional-order memristive neural networks with switching jumps mismatch," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 402-415.
    3. Huang, Chengdai & Cao, Jinde, 2017. "Active control strategy for synchronization and anti-synchronization of a fractional chaotic financial system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 262-275.
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    Citations

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    Cited by:

    1. Qiuzhen Wang & Jiangping Hu, 2023. "Modeling and Control of Wide-Area Networks," Mathematics, MDPI, vol. 11(18), pages 1-24, September.
    2. Lu, Jianquan & Guo, Xing & Huang, Tingwen & Wang, Zhen, 2019. "Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 153-162.
    3. Wang, Wei & Huang, Chi & Huang, Chuangxia & Cao, Jinde & Lu, Jianquan & Wang, Li, 2020. "Bipartite formation problem of second-order nonlinear multi-agent systems with hybrid impulses," Applied Mathematics and Computation, Elsevier, vol. 370(C).
    4. 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).
    5. Zhang, Xuxi & Liu, Xianping & Lewis, Frank L. & Wang, Xia, 2020. "Bipartite tracking consensus of nonlinear multi-agent systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    6. Zhai, Shidong & Huang, Tao & Luo, Guoqiang & Wang, Xin & Ma, Jun, 2022. "Pinning bipartite synchronization for coupled nonlinear systems with antagonistic interactions and time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 593(C).
    7. Gao, Zilin & Guo, Changyuan & Li, Yongfu & Liu, Lizhi & Luo, Weimin, 2023. "Stabilization of a structurally balanced complex network with similar nodes of different dimensions," Applied Mathematics and Computation, Elsevier, vol. 458(C).

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