Title
Consensus of signed networked multi-agent systems with nonlinear coupling and communication delays.
Abstract
This paper investigates the consensus problem in networks of agents with antagonistic interactions and communication delays. For undirected signed networks, we respectively establish two dynamic models corresponding to linear and nonlinear coupling. Based on Lyapunov stability theory and some other mathematical analysis, it is proved that all agents on signed networks can reach agreement on a consensus value except for the sign. Further, a bipartite consensus solution is given for linear coupling networks, and an explicit expression associating with bipartite consensus solution is provided for nonlinear coupling networks. Finally, numerical simulations are given to demonstrate the effectiveness of our theoretical results.
Year
DOI
Venue
2019
10.1016/j.amc.2019.01.006
Applied Mathematics and Computation
Keywords
Field
DocType
Complex networks,Multi-agent systems,Communication delays,Consensus,Antagonistic interactions
Consensus,Linear coupling,Mathematical optimization,Bipartite graph,Lyapunov stability,Multi-agent system,Dynamic models,Complex network,Nonlinear coupling,Mathematics
Journal
Volume
ISSN
Citations 
350
0096-3003
1
PageRank 
References 
Authors
0.35
26
4
Name
Order
Citations
PageRank
Jianquan Lu12337116.05
Xing Guo274.52
Tingwen Huang35684310.24
Wang Zhen431738.38