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Finite-Time Consensus of Stochastic Nonlinear Multi-agent Systems

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Abstract

This article studies the finite-time consensus of the stochastic nonlinear multi-agent systems under a directed communication topology. Since the inherent nonlinear dynamics and stochastic disturbances in multi-agent systems are completely unknown, the existing finite-time stability criterion becomes unavailable. To handle this difficulty, by applying the mean value theorem of integrals, a key finite-time stability criterion in integral form is first established. Then, based on the approximation property of the fuzzy logic systems, a distributed adaptive fuzzy control scheme is presented. Under the presented control strategy, the finite-time consensus of the stochastic nonlinear multi-agent systems is achieved. By applying Jessen’s inequality and Theorem 1, the finite-time stability of the closed system is proved. Finally, the simulation result shows the validity of the distributed controller.

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Funding

This work was supported in part by the National Natural Science Foundation of China under Grants 61503223 and 61873137, and in part by SDUST Research Fund (No. 2015TDJH105).

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Authors and Affiliations

  1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, China

    Fang Wang & Yan Zhang

  2. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, People’s Republic of China

    Lili Zhang

  3. College of Computer Science and Technology, Guangdong University of Foreign Studies, Guangzhou, 510006, China

    Jing Zhang

  4. College of Computer and Communication Engineering, Changsha University of Science and Technology, Changsha, 410000, China

    Yuanyuan Huang

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  1. Fang Wang
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  2. Yan Zhang
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  3. Lili Zhang
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Correspondence to Fang Wang.

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Wang, F., Zhang, Y., Zhang, L. et al. Finite-Time Consensus of Stochastic Nonlinear Multi-agent Systems. Int. J. Fuzzy Syst. 22, 77–88 (2020). https://doi.org/10.1007/s40815-019-00769-w

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  • DOI: https://doi.org/10.1007/s40815-019-00769-w

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