A less conservative method for average consensus with multiple time-varying delays

Author

Yu, Hui ; Xia, Xiaohua ; Zhang, Tiecheng

Author_Institution

Coll. of Sci., China Three Gorges Univ., Yichang, China

fYear

2011

fDate

13-15 Sept. 2011

Firstpage

1

Lastpage

6

Abstract

In this paper, average consensus problem of multiagent systems with switching topology and multiple time-varying delays are investigated in undirected networks. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some novel forms in terms of LMIs are obtained via taking relationship among the terms in the Newton-Leibniz formula into account. Since some free weighted matrices are employed to express this relationship and appropriate ones are selected by means of LMIs, this method is less conservative and more general. Finally, simulation examples are given to demonstrate the effectiveness of our theoretical results.

Keywords

Lyapunov methods; linear matrix inequalities; multi-agent systems; stability; Lyapunov stability theory; Newton-Leibniz formula; average consensus problem; free weighted matrices; linear matrix inequalities; multiagent systems; multiple time-varying delays; switching topology; undirected networks; Couplings; Delay; Linear matrix inequalities; Network topology; Protocols; Switches; Topology;

fLanguage

English

Publisher

ieee

Conference_Titel

AFRICON, 2011

Conference_Location

Livingstone

ISSN

2153-0025

Print_ISBN

978-1-61284-992-8

Type

conf

DOI

10.1109/AFRCON.2011.6072031

Filename

6072031