Paper Info
Title
Second-Order Consensus Seeking in Multi-Agent Systems With Nonlinear Dynamics Over Random Switching Directed Networks
Abstract
This paper discusses the second-order local consensus problem for multi-agent systems with nonlinear dynamics over dynamically switching random directed networks. By applying the orthogonal decomposition method, the state vector of resulted error dynamical system can be decomposed as two transversal components, one of which evolves along the consensus manifold and the other evolves transversally with the consensus manifold. Several sufficient conditions for reaching almost surely second-order local consensus are derived for the cases of time-delay-free coupling and time-delay coupling, respectively. For the case of time-delay-free coupling, we find that if there exists one directed spanning tree in the network which corresponds to the fixed time-averaged topology and the switching rate of the dynamic network is not more than a critical value which is also estimated analytically, then second-order dynamical consensus can be guaranteed for the choice of suitable parameters. For the case of time-delay coupling, we not only prove that under some assumptions, the second-order consensus can be reached exponentially, but also give an analytical estimation of the upper bounds of convergence rate and the switching rate. Finally, numerical simulations are provided to illustrate the feasibility and effectiveness of the obtained theoretical results.
Year
DOI
Venue
2013
10.1109/TCSI.2012.2226507
IEEE Trans. on Circuits and Systems
Keywords
Field
DocType
analytical estimation,second-order consensus seeking,nonlinear network analysis,directed spanning tree,orthogonal decomposition method,error dynamical system,random switching directed networks,numerical analysis,random switching,convergence rate,switching rate,multi-agent systems,convergence,time-delay-free coupling,nonlinear dynamics,switching networks,second-order consensus,second-order local consensus problem,numerical simulations,time-delay (-free) coupling,local consensus,multi agent systems
Convergence (routing),Dynamic network analysis,Consensus,State vector,Control theory,Rate of convergence,Spanning tree,Almost surely,Mathematics,Dynamical system
Journal
Volume
Issue
ISSN
60
6
1549-8328
Citations 
PageRank 
References 
43
1.16
18
Authors
5
Name
Order
Citations
PageRank
Huaqing Li153434.13
Xiaofeng Liao23657326.61
Xinyu Lei31769.62
Tingwen Huang45684310.24
Wei Zhu52567.23