DocumentCode
1525617
Title
Consensus of Multi-Agent Systems With Unbounded Time-Varying Delays
Author
Liu, Xiwei ; Lu, Wenlian ; Chen, Tianping
Author_Institution
Dept. of Comput. Sci. & Technol., Tongji Univ., Shanghai, China
Volume
55
Issue
10
fYear
2010
Firstpage
2396
Lastpage
2401
Abstract
In this note, the consensus problem with infinite time-varying delays for linearly coupled static network is investigated. The delay affects only the off-diagonal terms in continuous-time equations. At first, we define an effective consensus ability index. Then, by using the graph theory and a new concept of consensus, we prove that under some mild conditions, the network can realize consensus. An example is given to show the validity of obtained results.
Keywords
continuous time systems; delays; graph theory; multi-agent systems; time-varying systems; consensus ability index; continuous-time equation; graph theory; linearly coupled static network; multiagent system; off-diagonal term; unbounded time-varying delay; Biological control systems; Biology; Control engineering; Delay lines; Graph theory; History; Laplace equations; Multiagent systems; Physics; Time varying systems; Consensus; delay; graph Laplacian; unbounded;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/TAC.2010.2054770
Filename
5497087
Link To Document