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

doi:10.1007/s10483-021-2789-6

Applied Mathematics and Mechanics (English Edition) ›› 2021, Vol. 42 ›› Issue (12): 1799-1816.doi: https://doi.org/10.1007/s10483-021-2789-6

• 论文 • 上一篇

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

Xuhui WANG, Nanjing HUANG

Department of Mathematics, Sichuan University, Chengdu 610064, China

收稿日期:2021-07-13 修回日期:2021-09-06 发布日期:2021-11-23
通讯作者: Nanjing HUANG ,E-mail:njhuang@scu.edu.cn
基金资助:
the National Natural Science Foundation of China (Nos. 11671282 and 12171339)

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

Xuhui WANG, Nanjing HUANG

Department of Mathematics, Sichuan University, Chengdu 610064, China

Received:2021-07-13 Revised:2021-09-06 Published:2021-11-23
Contact: Nanjing HUANG ,E-mail:njhuang@scu.edu.cn
Supported by:
the National Natural Science Foundation of China (Nos. 11671282 and 12171339)

摘要/Abstract

摘要： The leaderless and leader-following finite-time consensus problems for multiagent 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.

关键词: finite-time consensus, hyperbolic partial differential equation (PDE), leaderless multi-agent system (MAS), leader-following MAS, boundary control

Abstract: The leaderless and leader-following finite-time consensus problems for multiagent 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.

Key words: finite-time consensus, hyperbolic partial differential equation (PDE), leaderless multi-agent system (MAS), leader-following MAS, boundary control

中图分类号:

Xuhui WANG, Nanjing HUANG. Finite-time consensus of multi-agent systems driven by hyperbolic partial differential equations via boundary control[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(12): 1799-1816.

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

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

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