Title
Controllability Of Discrete-Time Multi-Agent Systems With Directed Topology And Input Delay
Abstract
This paper investigates the controllability of first-order and second-order discrete-time multi-agent systems with directed topology and input delay. The problem is studied in the leader-follower framework where a number of agents are selected to be leaders and serve as control inputs to all other agents. Sufficient and necessary conditions are derived for the controllability of first-order discrete-time multi-agent systems. With sampling period and feedback gain satisfying certain conditions, it is proved under three different protocols that the controllability of second-order discrete-time multi-agent systems is equivalent to that of a pair of submatrices of Laplacian matrix. In addition, the controllability of both first-order and second-order discrete-time multi-agent systems with input delay is shown, through some transformations, to be equivalent to that of the transformed non-delayed systems. Finally, some simulation examples are given to illustrate the theoretical results.
Year
DOI
Venue
2016
10.1080/00207179.2015.1063165
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
discrete-time multi-agent systems, directed topology, controllability, protocol, input delay
Topology,Laplacian matrix,Controllability,Control theory,Sampling (signal processing),Network controllability,Multi-agent system,Discrete time and continuous time,Block matrix,Mathematics
Journal
Volume
Issue
ISSN
89
1
0020-7179
Citations 
PageRank 
References 
7
0.46
18
Authors
4
Name
Order
Citations
PageRank
Zehuan Lu1151.30
Lin Zhang214616.93
Zhijian Ji335132.04
Long Wang43846236.00