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Consensus control of second-order stochastic discrete-time multi-agent systems without velocity transmission

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Abstract

This article studies the almost-sure and the mean-square consensus control problems of second-order stochastic discrete-time multi-agent systems with multiplicative noises. First, a control law based on the absolute velocity and relative position information is designed. Second, considering the existence of multiplicative noises and nonlinear terms with Lipschitz constants, the consensus control problem is solved through the use of a degenerated Lyapunov function. Then, for the linear second-order multi-agent systems, some explicit consensus conditions are provided. Finally, two sets of numerical simulations are performed.

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The authors declare that all data supporting the findings of this study are available.

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Authors and Affiliations

  1. School of Automation, China University of Geosciences, Wuhan, 430074, China

    Zi-Xuan Wang, Xiaofeng Zong & Ling-Jie Gai

  2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan, Hubei, China

    Zi-Xuan Wang, Xiaofeng Zong & Ling-Jie Gai

  3. Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan, Hubei, China

    Zi-Xuan Wang, Xiaofeng Zong & Ling-Jie Gai

Authors
  1. Zi-Xuan Wang
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  2. Xiaofeng Zong
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  3. Ling-Jie Gai
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Corresponding author

Correspondence to Xiaofeng Zong.

Additional information

This work was supported by the National Natural Science Foundation of China (No. 62073305), the Hubei Provincial Natural Science Foundation (No. 2022CFA041) and the 2022 Innovation and Entrepreneurship Plan for College Students of China University of Geosciences, Wuhan, China (No. S202210491203).

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Wang, ZX., Zong, X. & Gai, LJ. Consensus control of second-order stochastic discrete-time multi-agent systems without velocity transmission. Control Theory Technol. 21, 591–601 (2023). https://doi.org/10.1007/s11768-023-00173-8

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  • DOI: https://doi.org/10.1007/s11768-023-00173-8

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