Consensus of multi-agent systems with time delay based on nonlinear algorithm

Author

Liang, You-Ming ; Liu, Cheng-Lin ; Liu, Fei

Author_Institution

Key Lab. of Adv. Process Control for Light Ind. (Minist. of Educ.), Jiangnan Univ., Wuxi, China

fYear

2012

fDate

6-8 July 2012

Firstpage

1628

Lastpage

1633

Abstract

Based on nonlinear coupled algorithm, consensus problem of first-order multi-agent systems with time-varying input delay is investigated. Firstly, by utilizing Lyapunov theorem and LaSalle invariance principle, sufficient consensus condition for the multi-agent systems is obtained when the directed interconnection topology is strongly connected. Secondly, the above conclusion is extended to the case of weakly connected digraph by applying algebraic graph theory and matrix theory. Lastly, computer simulation examples are presented to demonstrate the effectiveness of the obtained results.

Keywords

Lyapunov methods; delays; directed graphs; matrix algebra; multi-agent systems; nonlinear systems; time-varying systems; LaSalle invariance principle; Lyapunov theorem; algebraic graph theory; computer simulation; consensus problem; digraph; first order multiagent system; interconnection topology; matrix theory; nonlinear coupled algorithm; time delay; time varying input delay; Automation; Delay; Delay effects; Intelligent control; Laboratories; Laplace equations; Multiagent systems; consensus; input delay; multi-agent systems; nonlinear algorithm;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358138

Filename

6358138