On constructing Lyapunov functions for multi-agent systems

被引：226

作者：

Zhang, Hongwei ^{[1
]}

Li, Zhongkui ^{[2
]}

Qu, Zhihua ^{[3
]}

Lewis, Frank L. ^{[4
,5
]}

机构：

[1] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China

[2] Peking Univ, Coll Engn, Dept Engn Sci & Mech, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

[3] Univ Cent Florida, Dept Elect Engn & Comp Sci, Orlando, FL 32816 USA

[4] Univ Texas Arlington, UTA Res Inst, Ft Worth, TX 76118 USA

[5] Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China

来源：

AUTOMATICA | 2015年 / 58卷

基金：

中国国家自然科学基金; 美国国家科学基金会;

关键词：

Graph dependent Lyapunov equation; Lyapunov function; Multi-agent system; Nonnegative graph; CONSENSUS; SYNCHRONIZATION; AGENTS;

D O I：

10.1016/j.automatica.2015.05.006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Lyapunov equations that depend on communication graph topologies provide building blocks of Lyapunov functions, which play an important role in controller design and stability analysis of multi-agent systems. However, construction of such a Lyapunov equation in some published works has a flaw or requires unnecessarily strong graph conditions. This paper presents several choices of Lyapunov equations over various graph topologies. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：39 / 42

页数：4

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