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Finite-time consensus of multi-agent systems driven by hyperbolic partial differential equations via boundary control

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Abstract

The leaderless and leader-following finite-time consensus problems for multi-agent systems (MASs) described by first-order linear hyperbolic partial differential equations (PDEs) are studied. The Lyapunov theorem and the unique solvability result for the first-order linear hyperbolic PDE are used to obtain some sufficient conditions for ensuring the finite-time consensus of the leaderless and leader-following MASs driven by first-order linear hyperbolic PDEs. Finally, two numerical examples are provided to verify the effectiveness of the proposed methods.

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Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, 610064, China

    Xuhui Wang & Nanjing Huang

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  1. Xuhui Wang
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  2. Nanjing Huang
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Correspondence to Nanjing Huang.

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Citation: WANG, X. H. and HUANG, N. J. Finite-time consensus of multi-agent systems driven by hyperbolic partial differential equations via boundary control. Applied Mathematics and Mechanics (English Edition), 42(12), 1799–1816 (2021) https://doi.org/10.1007/s10483-021-2789-6

Project supported by the National Natural Science Foundation of China (Nos. 11671282 and 12171339)

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Wang, X., Huang, N. Finite-time consensus of multi-agent systems driven by hyperbolic partial differential equations via boundary control. Appl. Math. Mech.-Engl. Ed. 42, 1799–1816 (2021). https://doi.org/10.1007/s10483-021-2789-6

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  • DOI: https://doi.org/10.1007/s10483-021-2789-6

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