Title
Topology selection for multi-agent systems with opposite leaders.
Abstract
For the multi-agent system with a navigational leader and its opponent, the followers cannot converge to the state of the navigational leader. In this paper, we consider the topology selection problem to minimize the opponent’s influence which is measured by the tracking error of the system. Firstly, two combinatorial optimization problems are formulated. One is to minimize the tracking error by selecting guided informed-agents (the followers who can obtain the navigational leader’s information). The other is to choose minimal number of guided informed-agents under an upper bound constraint of the tracking error. Secondly, for the scenario where the guided informed-agents are preset, we consider the problem of assigning the weights of edges to minimize the tracking error. Three convex optimization problems are proposed to evaluate the upper and lower bounds of the tracking error. Finally, numerical examples are provided to illustrate the effectiveness of the theoretical results.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.03.007
Systems & Control Letters
Keywords
Field
DocType
Multi-agent systems,Tracking,Topology selection
Topology,Mathematical optimization,Combinatorial optimization problem,Control theory,Upper and lower bounds,Multi-agent system,Convex optimization,Mathematics,Tracking error
Journal
Volume
ISSN
Citations 
93
0167-6911
8
PageRank 
References 
Authors
0.47
17
3
Name
Order
Citations
PageRank
Jingying Ma1702.68
Yuanshi Zheng246319.56
Long Wang33846236.00