Averaging Method for Consensus of Fast Switching Multi-agent Networks with Communication Delay
This work investigates the consensus problem of a group of nonlinear agents over a fast-switching network. The communications between agents are bidirectional and time delay exists. The topology, which specifies the communications, is assumed to be switched within a finite set of topologies, reflecting a practical fast-varying network environment. Based on the Lyapunov functional stability theory and the averaging technique, a relation between the consensus condition for the time-averaged network and the studied network is established. It reveals that, when the switching frequency is high enough, the consensus of the time-averaged network induces the consensus of its counterpart. This result has been verified and illustrated by numerical simulations. It is also interesting to note that consensus is possible even when all networks are disconnected.
Averaging method Communication delay Complex network Consensus Fast switching
Qiang Jia Wallace K. S. Tang
Department of Mathematics, Jiangsu University, Zhenjiang Jiangsu 212013 Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong
国际会议
长沙
英文
258-262
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）