Paper Info
Title
Distributed containment control for asynchronous discrete-time second-order multi-agent systems with switching topologies.
Abstract
A distributed containment control problem for asynchronous discrete-time second-order multi-agent systems with switching topologies is studied in this paper, where asynchrony means that each agent only receives the state information of its neighbors at certain discrete time instants determined by its own clock that is independent of other agents. Based on a novel containment control protocol, the asynchronous system is transformed into a matrix-vector form, which implies that the asynchronous containment control problem can be converted to a convergence problem of the product of infinite time-varying nonnegative matrices whose all row sums are less than or equal to 1. Then the relations between switching communication topologies and the composite of binary relation are exploited to solve this convergence problem. Finally, we obtain a sufficient condition that all the followers can enter and keep moving in the convex hull formed by the leaders if the union of the effective communication topologies across any time intervals with some given length contains a spanning forest rooted at the leaders. Moreover, some simulation examples are presented for illustration.
Year
DOI
Venue
2018
10.1016/j.amc.2018.04.067
Applied Mathematics and Computation
Keywords
Field
DocType
Containment control,Second-order multi-agent systems,Asynchronous,Switching topologies
Asynchronous communication,Mathematical optimization,Asynchronous system,Binary relation,Convergence problem,Convex hull,Network topology,Multi-agent system,Discrete time and continuous time,Mathematics
Journal
Volume
ISSN
Citations 
336
0096-3003
1
PageRank 
References 
Authors
0.35
28
4
Name
Order
Citations
PageRank
Jin-Liang Shao19610.49
Lei Shi230655.98
Mengtao Cao310.35
Hong Xia4161.92