Cluster consensus in networks of agents with weighted cooperative-competitive interactions via nonlinear protocols

Author

Zhou, Meng ; Zhan, Jingyuan ; Li, Xiang

Author_Institution

Adaptive Networks and Control Lab, and Research Center of Smart Networks and Systems, School of Information Science and Technology, Fudan University, Shanghai 200433, P.R. China

fYear

2015

fDate

28-30 July 2015

Firstpage

7108

Lastpage

7112

Abstract

In this paper, we consider the consensus problem of networks of agents with weighted cooperative-competitive interactions via nonlinear protocols. Each agent in the multi-agent system is endowed with a value representing its intrinsic interaction property, based on which, the cooperative-competitive interaction weights are decided. Two types of nonlinear protocols with weighted cooperative-competitive interactions are proposed. By using Lyapunov function method, it is proved that these protocols lead to cluster consensus, and the agents are in the same cluster if and only if their interaction properties are the same. Several numerical examples are presented to demonstrate the effectiveness of the theoretical results.

Keywords

Convergence; Laplace equations; Multi-agent systems; Network topology; Protocols; Switches; Topology; Cluster consensus; Multi-agent systems; Nonlinear protocol; Weighted cooperative-competitive interactions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2015 34th Chinese

Conference_Location

Hangzhou, China

Type

conf

DOI

10.1109/ChiCC.2015.7260764

Filename

7260764