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| Presentation | 2020-11-25 16:35 Generalization of Pseudo-Decentralized Continuous-Time Algorithms for Estimation of Algebraic Connectivity Katsuki Shimada, Tsuyoshi Migita, Norikazu Takahashi (Okayama Univ.)  CAS2020-23 MSS2020-15 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Development of decentralized algorithms for multiple agents in a network to estimate its connectivity is a fundamental and important issue in consideration of some applications of the multiagent network such as mulitrobot systems. Yang {it et al}.~proposed a pseudo-decentralized continuous-time algorithm for estimating the algebraic connectivity of the network, and proved its validity through theoretical analysis. The algebraic connectivity, that is defined as the second smallest eigenvalue of the Laplacian matrix of the network, represents how well the network is connected. Later, Fukami and Takahashi proposed to replace $L_2$ norm in Yang {it et al}.'s algorithm with $L_1$ norm or $L_infty$ norm, and proved the validity of their algorithms. In this paper, we propose a class of algorithms based on $L_p$ norm that can be considered as a generalization of the conventional algorithms. We analyze the dynamical behavior of the proposed algorithms and prove under some assumptions on the parameter values and the initial state values of the agents that all agents can estimate the algebraic connectivity. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | multiagent networks / algebraic connectivity / continuous-time algorithm / Lp norm / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 120, no. 246, MSS2020-15, pp. 22-27, Nov. 2020. | |
| Paper # | MSS2020-15 | |
| Date of Issue | 2020-11-18 (CAS, MSS) | |
| ISSN | 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 | CAS2020-23 MSS2020-15 |
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| Conference Information | |
| Committee | MSS CAS IPSJ-AL |
| Conference Date | 2020-11-25 - 2020-11-26 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | MSS |
| Conference Code | 2020-11-MSS-CAS-AL |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Generalization of Pseudo-Decentralized Continuous-Time Algorithms for Estimation of Algebraic Connectivity |
| Sub Title (in English) | |
| Keyword(1) | multiagent networks |
| Keyword(2) | algebraic connectivity |
| Keyword(3) | continuous-time algorithm |
| Keyword(4) | Lp norm |
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| 1st Author's Name | Katsuki Shimada |
| 1st Author's Affiliation | Okayama University (Okayama Univ.) |
| 2nd Author's Name | Tsuyoshi Migita |
| 2nd Author's Affiliation | Okayama University (Okayama Univ.) |
| 3rd Author's Name | Norikazu Takahashi |
| 3rd Author's Affiliation | Okayama University (Okayama Univ.) |
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| Speaker | Author-1 |
| Date Time | 2020-11-25 16:35:00 |
| Presentation Time | 25 minutes |
| Registration for | MSS |
| Paper # | CAS2020-23, MSS2020-15 |
| Volume (vol) | vol.120 |
| Number (no) | no.245(CAS), no.246(MSS) |
| Page | pp.22-27 |
| #Pages | 6 |
| Date of Issue | 2020-11-18 (CAS, MSS) |
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