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Control costs of long-range interacting multi-agent systems with noise perturbation

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  • Yin, Xiangxin
  • Dai, Haifeng
  • Zhao, Lingzhi
  • Zhao, Donghua
  • Xiao, Rui
  • Sun, Yongzheng

Abstract

As an important stage of collective dynamics, consensus is widespread in real-world moving groups, where one of the long-term challenges is to optimize the control costs of reaching consensus. However, current research on the consensus of multi-agents systems (MASs) usually only considers direct interactions between agents and ignores long-range interactions (LRIs), which may influence or even determine the collective behavior of MASs. In our paper, a basic framework is developed for analyzing the control costs for reaching consensus of MASs with LRIs and noise perturbation. The theoretical estimate of the control cost from a time and energy perspective will depend on the network diameter, control parameters, noise strength, and network size, and LRIs can promote MASs to reach consensus. We provide some numerical simulations to test our theory. Both theoretical and numerical analyses reveal that there is a trade-off between time and energy costs regardless of whether MASs have LRIs or not, i.e., adjusting control parameters to reduce time cost inevitably leads to an increase in energy cost. Our results provide a new option for controlling MASs: designing control protocols based on LRIs which in some cases have superior performance to typical controllers.

Suggested Citation

  • Yin, Xiangxin & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Xiao, Rui & Sun, Yongzheng, 2024. "Control costs of long-range interacting multi-agent systems with noise perturbation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012808
    DOI: 10.1016/j.chaos.2023.114378
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    1. Jing Zheng & Jingyuan Chen & Yakang Jin & Yan Wen & Yijiang Mu & Changjin Wu & Yufeng Wang & Penger Tong & Zhigang Li & Xu Hou & Jinyao Tang, 2023. "Photochromism from wavelength-selective colloidal phase segregation," Nature, Nature, vol. 617(7961), pages 499-506, May.
    2. Rybalova, E.V. & Vadivasova, T.E. & Strelkova, G.I. & Zakharova, A., 2022. "Multiplexing noise induces synchronization in multilayer networks," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    3. Victor Helson & Timo Zwettler & Farokh Mivehvar & Elvia Colella & Kevin Roux & Hideki Konishi & Helmut Ritsch & Jean-Philippe Brantut, 2023. "Density-wave ordering in a unitary Fermi gas with photon-mediated interactions," Nature, Nature, vol. 618(7966), pages 716-720, June.
    4. Cui, Kaiyan & Song, Zhanjie & Zhang, Shuo, 2022. "Stability of neutral-type neural network with Lévy noise and mixed time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    5. Niklas Boers & Bedartha Goswami & Aljoscha Rheinwalt & Bodo Bookhagen & Brian Hoskins & Jürgen Kurths, 2019. "Complex networks reveal global pattern of extreme-rainfall teleconnections," Nature, Nature, vol. 566(7744), pages 373-377, February.
    6. Sharafian, Amin & Sharifi, Alireza & Zhang, Weidong, 2020. "Different types of sliding mode controller for nonlinear fractional multi-Agent system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    7. Etémé, Armand S. & Tabi, Conrad B. & Mohamadou, Alidou, 2017. "Synchronized nonlinear patterns in electrically coupled Hindmarsh–Rose neural networks with long-range diffusive interactions," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 813-826.
    8. Chong Chen & Song Liu & Xia-qing Shi & Hugues Chaté & Yilin Wu, 2017. "Weak synchronization and large-scale collective oscillation in dense bacterial suspensions," Nature, Nature, vol. 542(7640), pages 210-214, February.
    9. Lu, Peng & Wen, Feier & Li, Yan & Chen, Dianhan, 2021. "Multi-agent modeling of crowd dynamics under mass shooting cases," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    10. Gambuzza, Lucia Valentina & Frasca, Mattia & Estrada, Ernesto, 2019. "Second-order consensus protocols based on transformed d-path Laplacians," Applied Mathematics and Computation, Elsevier, vol. 343(C), pages 183-194.
    11. Sun, Yongzheng & Zhao, Donghua & Ruan, Jiong, 2010. "Consensus in noisy environments with switching topology and time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(19), pages 4149-4161.
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