Paper Info
Title
Cooperative containment control in time-delayed multi-agent systems with discrete-time high-order dynamics under dynamically changing topologies
Abstract
This paper addresses the containment control problem for discrete-time high-order multi-agent systems (MASs) with dynamically changing topologies and time-varying delays. By considering the influence of switching topologies, a distributed containment control protocol that only involves the agent’s own information and its neighbors’ partial information is given to make all the followers enter and keep moving in the convex hull formed by the static leaders. A novel technique is employed to transform the high-order MAS with dynamically changing topologies into a switched augmented system with nonnegative coefficient matrices, and then convert the convergence problem of the switched augmented system to a product problem of infinite time-varying row stochastic matrices. With the help of graph theory and the properties of stochastic indecomposable and aperiodic (SIA) matrices, a sufficient condition in terms of communication topologies is derived, that is, the high-order containment control with dynamically changing topologies and time-varying delays can be achieved if the union of the effective communication topologies across any time intervals with some given length contains a spanning forest rooted at the leaders. Finally, computer simulations are conducted to illustrate the efficiency of the theoretical findings.
Year
DOI
Venue
2019
10.1016/j.jfranklin.2018.11.014
Journal of the Franklin Institute
Field
DocType
Volume
Graph theory,Mathematical optimization,Matrix (mathematics),Convergence problem,Convex hull,Network topology,Multi-agent system,Discrete time and continuous time,Aperiodic graph,Mathematics
Journal
356
Issue
ISSN
Citations 
5
0016-0032
0
PageRank 
References 
Authors
0.34
24
4
Name
Order
Citations
PageRank
Jin-Liang Shao19610.49
Lei Shi230655.98
Wei Xing Zheng34266274.73
Yuhua Cheng413633.41