Paper Abstract and Keywords |
Presentation |
2018-04-27 14:45
A Distributed Algorithm for Multi-Agent Networks to Solve Sandberg-Willson Equations Masaaki Takeuchi, Norikazu Takahashi (Okayama Univ.) NLP2018-23 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We propose a distributed algorithm for multi-agent networks to solve Sandberg-Willson equations, which are well-known in the field of nonlinear circuit theory. Each agent deals only with one equation assigned to it, but it can receive estimated solutions of some other agents through communication channels. In the proposed algorithm, each agent tries to find the unique solution of a Sandberg-Willson equation by repeating the process of finding a solution of the assigned equation and the process of computing the average of the estimated solutions of the agents in its neighborhood alternately. We first show through numerical experiments that, by using the proposed algorithm, all agents in a network can find the unique solution. We also prove under some assumptions on the nonlinear function and the coefficient matrix in the equation that the sequence of solutions of every agent converges to the unique solution. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
multi-agent networks / distributed algorithm / Sandberg-Willson equations / Newton's method / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 15, NLP2018-23, pp. 111-116, April 2018. |
Paper # |
NLP2018-23 |
Date of Issue |
2018-04-19 (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) |
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NLP2018-23 |
Conference Information |
Committee |
NLP |
Conference Date |
2018-04-26 - 2018-04-27 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kumaoto Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Discrete Dynamical Systems, Sequences, etc |
Paper Information |
Registration To |
NLP |
Conference Code |
2018-04-NLP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
A Distributed Algorithm for Multi-Agent Networks to Solve Sandberg-Willson Equations |
Sub Title (in English) |
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multi-agent networks |
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distributed algorithm |
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Sandberg-Willson equations |
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Newton's method |
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1st Author's Name |
Masaaki Takeuchi |
1st Author's Affiliation |
Okayama University (Okayama Univ.) |
2nd Author's Name |
Norikazu Takahashi |
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Okayama University (Okayama Univ.) |
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Speaker |
Author-1 |
Date Time |
2018-04-27 14:45:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2018-23 |
Volume (vol) |
vol.118 |
Number (no) |
no.15 |
Page |
pp.111-116 |
#Pages |
6 |
Date of Issue |
2018-04-19 (NLP) |
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