南华大学学报（自然科学版）2025，Vol.39Issue(1)：62-68,7.DOI:10.19431/j.cnki.1673-0062.2025.01.009
带有反应扩散项的多智能体系统在边界控制下的平均一致性
Average Consensusof Multi-agent Systems with Reaction-diffusion Terms Under Boundary Control
摘要
Abstract
To solve the complex control problem of a class of parabolic partial differential e-quations in a multi-agent system,an innovative boundary control strategy is proposed with the aim of improving the stability and consensus of the system.The strategy designs agent controllers acting at boundary points and considers two cases with or without input con-straints.Sufficient conditions for the system to achieve average consensus are given by uti-lizing Lyapunov generalization and linear matrix inequality techniques.Numerical examples and simulation verification show that the method can achieve system stability and consensus with or without input constraints,with fast convergence speed and high control accuracy,proving its feasibility and effectiveness in practical applications.关键词
多智能体系统/边界控制/平均一致性Key words
multi-agent systems(MASs)/boundary control/average consensus分类
数学引用本文复制引用
杨梓鹏,张荣强,刘琛..带有反应扩散项的多智能体系统在边界控制下的平均一致性[J].南华大学学报（自然科学版）,2025,39(1):62-68,7.基金项目
国家自然科学基金项目(62373143) （62373143）
湖南省自然科学基金项目(2021JJ50063) （2021JJ50063）
湖南省教育厅重点项目(21A0366 （）
22A0406) （）
湖南省教育厅自然科学项目(23C0205) （23C0205）
