Title :
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
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;
Conference_Titel :
Intelligent Control (ISIC), 2014 IEEE International Symposium on
Conference_Location :
Juan Les Pins
DOI :
10.1109/ISIC.2014.6967595
