NDLI: Optimal controlling node problem for multi-agent systems via Alt-PageRank

Content Provider	IEEE Xplore Digital Library
Author	Yamamoto, H. Tsumura, K.
Copyright Year	2011
Description	Author affiliation: Department of Information Physics and Computing, Graduate School of Information Science and Technology, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan (Yamamoto, H.; Tsumura, K.)
Abstract	In this paper, we deal with problems of finding optimal input nodes of multi-agent systems in the sense of convergence rates of the all agents' states to an identical value. We consider two cases; Weakly Controlled Systems and Directly Controlled Systems, respectively, and show that in the both cases, the optimal nodes can be explicitly given by using an alternative index of PageRank, called Alt-PageRank, which we originally propose in this paper. Furthermore, we study controllability of both WCS and DCS. We obtain the same condition about controllability of both WCS and DCS, which is characterized by left eigenvectors of graph Laplacian.
Starting Page	1350
Ending Page	1354
File Size	424816
Page Count	5
File Format	PDF
ISBN	9781457707148
e-ISBN	9784907764395
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-09-13
Publisher Place	Japan
Access Restriction	Subscribed
Rights Holder	SICE (The Society of Instrument and Cont
Subject Keyword	Eigenvalues and eigenfunctions Controllability Multiagent systems Convergence Educational institutions Laplace equations perturbation theory multi-agent systems consensus PageRank
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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