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

被引：22
作者：
Wang, Xuhui [1 ]
Huang, Nanjing [1 ]
机构：
[1] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2021年 / 42卷 / 12期
基金：
中国国家自然科学基金;
关键词：
finite-time consensus; hyperbolic partial differential equation (PDE); leaderless multi-agent system (MAS); leader-following MAS; boundary control; O175; NETWORKS; STABILITY; ALGORITHM; DESIGN; AGENTS;
D O I：
10.1007/s10483-021-2789-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：1799 / 1816
页数：18
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