Paper Info
Title
Quadratic Stabilisability Of Multi-Agent Systems Under Switching Topologies
Abstract
This paper addresses the stabilisability of multi-agent systems (MASs) under switching topologies. Necessary and/or sufficient conditions are presented in terms of graph topology. These conditions explicitly reveal how the intrinsic dynamics of the agents, the communication topology and the external control input affect stabilisability jointly. With the appropriate selection of some agents to which the external inputs are applied and the suitable design of neighbour-interaction rules via a switching topology, an MAS is proved to be stabilisable even if so is not for each of uncertain subsystem. In addition, a method is proposed to constructively design a switching rule for MASs with norm-bounded time-varying uncertainties. The switching rules designed via this method do not rely on uncertainties, and the switched MAS is quadratically stabilisable via decentralised external self-feedback for all uncertainties. With respect to applications of the stabilisability results, the formation control and the cooperative tracking control are addressed. Numerical simulations are presented to demonstrate the effectiveness of the proposed results.
Year
DOI
Venue
2014
10.1080/00207179.2014.938249
INTERNATIONAL JOURNAL OF CONTROL
Keywords
Field
DocType
multi-agent systems, quadratic stability, formation control, switching topology, uncertain switched systems
Mathematical optimization,Quadratic growth,Control theory,Quadratic equation,Network topology,Multi-agent system,Quadratic stability,Topological graph theory,Mathematics
Journal
Volume
Issue
ISSN
87
12
0020-7179
Citations 
PageRank 
References 
12
0.58
19
Authors
4
Name
Order
Citations
PageRank
Yongqiang Guan1686.41
Zhijian Ji235132.04
Lin Zhang314616.93
Long Wang43846236.00