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Paper Abstract and Keywords
Presentation 2016-09-15 10:25
A New Decentralized Discrete-Time Algorithm for Estimating Algebraic Connectivity of Multiagent Networks
Kento Endo, Norikazu Takahashi (Okayama Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) The algebraic connectivity, which is defined as the second smallest eigenvalue of the Laplacian matrix, is an index represending how well the network is connected. Yang {it et al.} proposed a continuous-time algorithm for agents in a network to estimate the algebraic connectivity of the network, and proved the validity by theoretical analysis. However, their method is based on a strong assumption that each agent can compute the average of the state values of all agents instaneously. Very recently, Yamane and Takahashi proposed a truly decentralized algorithm based on the work of Yang {it et al.} and the dynaminc average consensus algorithm proposed by Spanos {it et al.} and confirmed the validity through numerical experiments. This method is truly decentralized because each agent updates the state value by using the information obtained from only agents in the neighborhood. In this report, we propose a new discrete-time algorithm for estimating the algebraic connectivity based on the method of Yamane and Takahashi and a dynamic average consensus algorithm of Zhu and Mart'inez. We also examine the validity of the proposed method by theoretical analysis and numerical experiments.
Keyword (in Japanese) (See Japanese page) 
(in English) multiagent network / algeblaic connectivity / discrete-time algorithm / dynamic average consensus / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 215, NLP2016-55, pp. 57-62, Sept. 2016.
Paper # NLP2016-55 
Date of Issue 2016-09-07 (NLP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

Conference Information
Committee NLP  
Conference Date 2016-09-14 - 2016-09-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Konan Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2016-09-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A New Decentralized Discrete-Time Algorithm for Estimating Algebraic Connectivity of Multiagent Networks 
Sub Title (in English)  
Keyword(1) multiagent network  
Keyword(2) algeblaic connectivity  
Keyword(3) discrete-time algorithm  
Keyword(4) dynamic average consensus  
1st Author's Name Kento Endo  
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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Date Time 2016-09-15 10:25:00 
Presentation Time 25 
Registration for NLP 
Paper # IEICE-NLP2016-55 
Volume (vol) IEICE-116 
Number (no) no.215 
Page pp.57-62 
#Pages IEICE-6 
Date of Issue IEICE-NLP-2016-09-07 

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