Open AccessConsensus of a leader‐following multi‐agent system with negative weights and noises
Author(s) -
Hu AiHua,
Cao JinDe,
Hu ManFeng,
Guo LiuXiao
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0216
Subject(s) - mathematical proof , multi agent system , control theory (sociology) , lyapunov function , function (biology) , computer science , transmission (telecommunications) , order (exchange) , mathematics , mathematical optimization , control (management) , artificial intelligence , economics , nonlinear system , telecommunications , physics , geometry , finance , quantum mechanics , evolutionary biology , biology
This study is concerned with the issue of mean‐square consensus for a model of leader‐following multi‐agent system. The agents acting as followers update states based on the information received from the time varying neighbours and the virtual leader. Negative weights besides positive weights are introduced for the links existing among the agents. Moreover, all followers considered here are influenced by noises with different intensities emerging from the external environment or transmission channels. In order to guarantee consensus of the multi‐agent system under the noises, the corresponding sufficient conditions are derived. Theoretical proofs are given mainly by using the Lyapunov function approach and the stochastic analysis. Finally, some numerical examples are presented to demonstrate the effectiveness of the results.