IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v203y2023icp1-11.html
   My bibliography  Save this article

Noise-induced consensus of leader-following multi-agent systems

Author

Listed:
  • Li, Wang
  • Dai, Haifeng
  • Zhao, Lingzhi
  • Zhao, Donghua
  • Sun, Yongzheng

Abstract

In this paper, we explore deeply the influence of noise on the consensus of leader-following multi-agent systems. The multiplicative noise is used where the strength of noise depends on the state of agents. Two different cases of noise are considered: noise exists between leader and followers only, and in all information exchanging. By employing algebraic graph theory and stability theory of stochastic differential equations, sufficient conditions for achieving consensus in two cases are obtained. Different from previous works, our results reveal that noise plays a positive role in the emergence of consensus. Finally, some numerical simulations are given to demonstrate the analytical results.

Suggested Citation

  • Li, Wang & Dai, Haifeng & Zhao, Lingzhi & Zhao, Donghua & Sun, Yongzheng, 2023. "Noise-induced consensus of leader-following multi-agent systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 203(C), pages 1-11.
    • Handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:1-11
    DOI: 10.1016/j.matcom.2022.06.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475422002853
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2022.06.015?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Liu, Wenqiang & Tao, Guili & Shen, Chen, 2021. "Robust measurement fusion steady-state estimator design for multisensor networked systems with random two-step transmission delays and missing measurements," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 181(C), pages 242-283.
    2. Salarieh, Hassan & Alasty, Aria, 2008. "Adaptive chaos synchronization in Chua's systems with noisy parameters," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(3), pages 233-241.
    3. 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.
    4. Máté Nagy & Zsuzsa Ákos & Dora Biro & Tamás Vicsek, 2010. "Hierarchical group dynamics in pigeon flocks," Nature, Nature, vol. 464(7290), pages 890-893, April.
    5. Guo, Wanli & He, Wennuo & Shi, Lili & Sun, Wen & Lu, Xiaoqing, 2021. "Fixed-time consensus tracking for nonlinear stochastically disturbed multi-agent systems via discontinuous protocols," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    6. Shuguang Li & Richa Batra & David Brown & Hyun-Dong Chang & Nikhil Ranganathan & Chuck Hoberman & Daniela Rus & Hod Lipson, 2019. "Particle robotics based on statistical mechanics of loosely coupled components," Nature, Nature, vol. 567(7748), pages 361-365, March.
    7. Sriraman, R. & Cao, Yang & Samidurai, R., 2020. "Global asymptotic stability of stochastic complex-valued neural networks with probabilistic time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 171(C), pages 103-118.
    8. Heydari, Mahdi & Salarieh, Hassan & Behzad, Mehdi, 2011. "Stochastic chaos synchronization using Unscented Kalman–Bucy Filter and sliding mode control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(9), pages 1770-1784.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Elahi, Arezou & Alfi, Alireza & Chadli, Mohammed, 2024. "Fixed-time consensus control for uncertain heterogeneous multi-agent systems with high-order dynamics and time-varying delay under generic topologies," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 225(C), pages 111-128.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Marcell Tibor Máthé & Hiroya Nishikawa & Fumito Araoka & Antal Jákli & Péter Salamon, 2024. "Electrically activated ferroelectric nematic microrobots," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    2. Li Jiang & Luca Giuggioli & Andrea Perna & Ramón Escobedo & Valentin Lecheval & Clément Sire & Zhangang Han & Guy Theraulaz, 2017. "Identifying influential neighbors in animal flocking," PLOS Computational Biology, Public Library of Science, vol. 13(11), pages 1-32, November.
    3. Han, Siyu & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Stabilization of inertial Cohen-Grossberg neural networks with generalized delays: A direct analysis approach," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Liang, Rizhou & Zhang, Jiqiang & Zheng, Guozhong & Chen, Li, 2021. "Social hierarchy promotes the cooperation prevalence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    5. Yang, Bofan & Zhang, Lin & Zhang, Bo & Xiang, Yang & An, Lei & Wang, Wenfeng, 2022. "Complex equipment system resilience: Composition, measurement and element analysis," Reliability Engineering and System Safety, Elsevier, vol. 228(C).
    6. Carlo Bianca & Marco Menale, 2019. "A Convergence Theorem for the Nonequilibrium States in the Discrete Thermostatted Kinetic Theory," Mathematics, MDPI, vol. 7(8), pages 1-13, July.
    7. Gergely Tibély & David Sousa-Rodrigues & Péter Pollner & Gergely Palla, 2016. "Comparing the Hierarchy of Keywords in On-Line News Portals," PLOS ONE, Public Library of Science, vol. 11(11), pages 1-15, November.
    8. Cui, Guozeng & Xu, Hui & Yu, Jinpeng & Ma, Jiali & Li, Ze, 2023. "Fixed-time distributed adaptive attitude control for multiple QUAVs with quantized input," Applied Mathematics and Computation, Elsevier, vol. 449(C).
    9. Tamás Nepusz & Tamás Vicsek, 2013. "Hierarchical Self-Organization of Non-Cooperating Individuals," PLOS ONE, Public Library of Science, vol. 8(12), pages 1-9, December.
    10. Gao, Shuo & Wen, Guoguang & Zhai, Xiaoqin & Zheng, Peng, 2023. "Finite-/fixed-time bipartite consensus for first-order multi-agent systems via impulsive control," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    11. Roy Harpaz & Minh Nguyet Nguyen & Armin Bahl & Florian Engert, 2021. "Precise visuomotor transformations underlying collective behavior in larval zebrafish," Nature Communications, Nature, vol. 12(1), pages 1-14, December.
    12. Li, Qing & Zhang, Lingwei & Jia, Yongnan & Lu, Tianzhao & Chen, Xiaojie, 2022. "Modeling, analysis, and optimization of three-dimensional restricted visual field metric-free swarms," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    13. Xia, Yuxian & Qiu, Xiang & Lou, Jianping & Qian, Yuehong, 2020. "Lattice Boltzmann Simulation for two-dimensional bacterial turbulence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    14. Zhang, Jiu & Jin, Li-Fu & Zheng, Bo & Li, Yan & Jiang, Xiong-Fei, 2022. "Simplified calculations of time correlation functions in non-stationary complex financial systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    15. Jing Wang & Gao Wang & Huaicheng Chen & Yanping Liu & Peilong Wang & Daming Yuan & Xingyu Ma & Xiangyu Xu & Zhengdong Cheng & Baohua Ji & Mingcheng Yang & Jianwei Shuai & Fangfu Ye & Jin Wang & Yang J, 2024. "Robo-Matter towards reconfigurable multifunctional smart materials," Nature Communications, Nature, vol. 15(1), pages 1-14, December.
    16. Panpan Yang & Maode Yan & Jiacheng Song & Ye Tang, 2019. "Self-Organized Fission-Fusion Control Algorithm for Flocking Systems Based on Intermittent Selective Interaction," Complexity, Hindawi, vol. 2019, pages 1-12, February.
    17. Kong, Decheng & Xue, Kai & Wang, Ping, 2024. "Collective queuing motion of self-propelled particles with leadership and experience," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    18. Federico Pratissoli & Andreagiovanni Reina & Yuri Kaszubowski Lopes & Carlo Pinciroli & Genki Miyauchi & Lorenzo Sabattini & Roderich Groß, 2023. "Coherent movement of error-prone individuals through mechanical coupling," Nature Communications, Nature, vol. 14(1), pages 1-13, December.
    19. Pakpour, Fatemeh & Vicsek, Tamás, 2024. "Delay-induced phase transitions in active matter," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    20. Zhang, Yu & Feng, Zhi Guo & Yang, Xinsong & Alsaadi, Fuad E. & Ahmad, Bashir, 2018. "Finite-time stabilization for a class of nonlinear systems via optimal control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 146(C), pages 14-26.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:203:y:2023:i:c:p:1-11. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.