Consensus with convergence rate in directed networks with multiple non-differentiable input delays

Author

Savino, Heitor J. ; Souza, F.O. ; Pimenta, Luciano C. A.

Author_Institution

Programa de Pos-Grad. em Eng. Eletr., Univ. Fed. de Minas Gerais, Belo Horizonte, Brazil

fYear

2014

fDate

8-10 Oct. 2014

Firstpage

252

Lastpage

257

Abstract

This paper investigates consensus problems in directed networks of multi-agent systems considering multiple and non-differentiable time-varying delays. A transformation is carried out to convert the consensus problem into an analysis of stability. Then, a novel Lyapunov-Krasovskii functional (LKF) is employed to prove consensus with an estimate for the exponential convergence rate in terms of a set of Linear Matrix Inequalities (LMIs). Numerical simulations are provided to show the effectiveness of the proposed method. Comparisons with similar approaches are also presented.

Keywords

Lyapunov methods; convergence; directed graphs; linear matrix inequalities; multi-agent systems; network theory (graphs); numerical analysis; stability; LKF; LMIs; Lyapunov-Krasovskii functional; consensus problems; directed networks; exponential convergence rate; linear matrix inequalities; multiagent systems; nondifferentiable input delays; nondifferentiable time-varying delays; numerical simulations; stability analysis; Communication networks; Convergence; Delay effects; Delays; Multi-agent systems; Protocols; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control (ISIC), 2014 IEEE International Symposium on

Conference_Location

Juan Les Pins

Type

conf

DOI

10.1109/ISIC.2014.6967595

Filename

6967595