On constructing Lyapunov functions for multi-agent systems

Hongwei Zhang; Zhongkui Li; Zhihua Qu; Frank L. Lewis

doi:10.1016/j.automatica.2015.05.006

On constructing Lyapunov functions for multi-agent systems

Hongwei Zhang
, Zhongkui Li
, Zhihua Qu
, Frank L. Lewis

Southwest Jiaotong University
Peking University
University of Central Florida
University of Texas at Arlington
Northeastern University China

Research output: Contribution to journal › Article › peer-review

282 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	39-42
Number of pages	4
Journal	Automatica
Volume	58
DOIs	https://doi.org/10.1016/j.automatica.2015.05.006
State	Published - 1 Aug 2015
Externally published	Yes

Keywords

Graph dependent Lyapunov equation
Lyapunov function
Multi-agent system
Nonnegative graph

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10.1016/j.automatica.2015.05.006

Cite this

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title = "On constructing Lyapunov functions for multi-agent systems",

abstract = "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.",

keywords = "Graph dependent Lyapunov equation, Lyapunov function, Multi-agent system, Nonnegative graph",

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AU - Qu, Zhihua

AU - Lewis, Frank L.

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Y1 - 2015/8/1

N2 - 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.

AB - 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.

KW - Graph dependent Lyapunov equation

KW - Lyapunov function

KW - Multi-agent system

KW - Nonnegative graph

UR - https://www.scopus.com/pages/publications/84931321772

U2 - 10.1016/j.automatica.2015.05.006

DO - 10.1016/j.automatica.2015.05.006

M3 - 文章

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SN - 0005-1098

VL - 58

SP - 39

EP - 42

JO - Automatica

JF - Automatica

ER -

On constructing Lyapunov functions for multi-agent systems

Abstract

Keywords

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