Positivity-Preserving Consensus of Homogeneous Multiagent Systems

被引：56
作者：
Liu, Jason J. R. [1 ]
Lam, James [1 ]
Shu, Zhan [2 ]
机构：
[1] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Peoples R China
[2] Univ Alberta, Dept Elect & Comp Engn, Edmonton, AB T6G 2R3, Canada
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2020年 / 65卷 / 06期
关键词：
Multi-agent systems; Linear systems; Zinc; Symmetric matrices; State-space methods; Linear matrix inequalities; Closed loop systems; Multiagent system; positive linear system; positivity-preserving consensus;
D O I：
10.1109/TAC.2019.2946205
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This note deals with the positivity-preserving consensus problem for undirected positive multiagent systems. The case that all agents have identical positive state-space models with multiple inputs is investigated. Using positive systems theory and analyzing the properties of the overall closed-loop system, positivity-preserving consensus conditions are derived. In order to preserve the positivity property of the agents, two conditions for positivity-preserving consensus are obtained. In contrast to some existing works that only give sufficient conditions for the solution, necessary and sufficient conditions are provided in this note. Then, the corresponding algorithm is developed for solution. Simulations are used to illustrate the effectiveness of the theoretical results and proposed algorithm.
引用
收藏
页码：2724 / 2729
页数：6
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