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Paper Abstract and Keywords
Presentation 2018-08-09 09:55
A Convergence Condition for the Projected Consensus Algorithm on a Network with a Fixed Topology
Kosuke Kawashima, Norikazu Takahashi (Okayama Univ.) NLP2018-65
Abstract (in Japanese) (See Japanese page) 
(in English) This report studies the problem of making the states of all agents in a network converge to the same point in the intersection of all constraint sets, each of which is given to only one of the agents. As a distributed algorithm for this problem, Nedic et al. proposed the projected consensus algorithm, and derived a sufficient condition for the convergence of the algorithm under the assumption that the directed graph representing the communication among agents is time-varying. In this report, we first derive a new sufficient condition for the convergence of the algorithm under the assumption that the directed graph is time-invariant. While the conventional condition requires that every vertex has a self-loop, the new condition does not. We next confirm the validity of the new sufficient condition through numerical experiments performed for a system of linear equations with nonnegativity constraints.
Keyword (in Japanese) (See Japanese page) 
(in English) multi-agent network / constrained consensus / projected consensus algorithm / convergence / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 174, NLP2018-65, pp. 63-68, Aug. 2018.
Paper # NLP2018-65 
Date of Issue 2018-08-01 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF NLP2018-65

Conference Information
Committee NLP  
Conference Date 2018-08-08 - 2018-08-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Saiwai-cho Campus, Kagawa Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) etc. 
Paper Information
Registration To NLP 
Conference Code 2018-08-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Convergence Condition for the Projected Consensus Algorithm on a Network with a Fixed Topology 
Sub Title (in English)  
Keyword(1) multi-agent network  
Keyword(2) constrained consensus  
Keyword(3) projected consensus algorithm  
Keyword(4) convergence  
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1st Author's Name Kosuke Kawashima  
1st Author's Affiliation Okayama University (Okayama Univ.)
2nd Author's Name Norikazu Takahashi  
2nd Author's Affiliation Okayama University (Okayama Univ.)
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Speaker Author-1 
Date Time 2018-08-09 09:55:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2018-65 
Volume (vol) vol.118 
Number (no) no.174 
Page pp.63-68 
#Pages 6 
Date of Issue 2018-08-01 (NLP) 

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