双层网络上多智能体系统的部分分量一致性  

Partial component consensus for two-layer multi-agent systems

作　　者：杨珺博 马忠军[1,2] 李科赞 YANG Jun-bo;MA Zhong-jun;LI Ke-zan(School of Mathematics and Computing Science,Guilin University of Electronic Technology,Guilin Guangxi 541004,China;Guangxi Key Laboratory of Cryptography and Information Security,Guilin University of Electronic Technology,Guilin Guangxi 541004,China)

机构地区：[1]桂林电子科技大学数学与计算科学学院,广西桂林541004 [2]桂林电子科技大学广西密码学与信息安全重点实验室,广西桂林541004

出　　处：《控制理论与应用》2023年第8期1377-1383,共7页Control Theory & Applications

基　　金：国家自然科学基金项目(62166010);广西科技计划项目(桂科AD20297006);广西密码学与信息安全重点实验室项目(GCIS202129);桂林电子科技大学研究生教育创新计划项目(2021YJSCX04)资助。

摘　　要：部分分量一致是指多智能体系统中所有状态变量的一些分量在时间趋于正无穷的情况下具有收敛性,是一种比恒同一致弱的动力学行为.本文将一阶领导–跟随多智能体系统推广到双层网络,在此基础上分别构造了两个合适的牵制控制器,并得到了相应的误差系统,然后运用矩阵理论和稳定性理论,将该系统的部分分量一致性问题转化为误差系统的部分变元稳定性问题,并导出该双层领导–跟随多智能体系统实现部分分量一致性的充分条件.最后,数值模拟验证了理论结果的正确性.Partial component consensus refers to the convergence of partial components of all state variables in a multiagent system as time tends to positive infinity,which is weaker than identical consensus.This paper has extended the first-order leader-following multi-agent system into two-layer network,and on that basis,two suitable pinning controller are constructed respectively,and obtain the corresponding error system.Then,based on the matrix theory,graph theory and stability theory of partial variables,partial component consensus in the two-layer multi-agent system is converted into the stability of the new error system with respect to partial variables,and some sufficient conditions to guarantee partial component consensus are derived.Finally,numerical simulations are shown to demonstrate correctness of the theoretical results.

关 键 词：多智能体系统 牵制控制 部分分量一致 双层网络 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]