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

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  • 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
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    References listed on IDEAS

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    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. Máté Nagy & Zsuzsa Ákos & Dora Biro & Tamás Vicsek, 2010. "Hierarchical group dynamics in pigeon flocks," Nature, Nature, vol. 464(7290), pages 890-893, April.
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    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)

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