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| Presentation | 2012-11-19 15:20 Complete Analysis of Piecewise-Linear Resistive Circuits Using the Generalized Linear Complementarity Theory and Mixed Integer Programming Rei Maeda, Hiroyuki Kato, Kiyotaka Yamamura (Chuo Univ.)  NLP2012-80 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | It is well known that the geometry of the solution set of a piecewise-linear resistive circuits can be very complicated. The circuit can have multiple solutions, the circuit can have infinite number of solutions, the solution set can be continuous or unbounded, the driving-point plot can consist of a full square and unbounded branches. Such a circuit often appears in the study of dynamics, chaos, and neural networks. Finding all solution sets of such a circuit is called the complete analysis. In this paper, we propose an easily implemented method for the complete analysis of piecewise-linear resistive circuits. In this method, a piecewise-linear resistive circuit is first described by a generalized linear complementarity problem, and then it is formulated as a mixed integer programming problem. Then, it is solved by a high-performance integer programming solver such as SCIP or CPLEX. The proposed method can be easily implemented without making complicated programs. The effectiveness of the proposed method is confirmed by numerical examples. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | piecewise-linear circuit / circuit simulation / finding all solutions / linear complementarity problem / integer programming / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 301, NLP2012-80, pp. 23-28, Nov. 2012. | |
| Paper # | NLP2012-80 | |
| Date of Issue | 2012-11-12 (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 | NLP2012-80 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2012-11-19 - 2012-11-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Ishinomaki Senshu University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2012-11-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Complete Analysis of Piecewise-Linear Resistive Circuits Using the Generalized Linear Complementarity Theory and Mixed Integer Programming |
| Sub Title (in English) | |
| Keyword(1) | piecewise-linear circuit |
| Keyword(2) | circuit simulation |
| Keyword(3) | finding all solutions |
| Keyword(4) | linear complementarity problem |
| Keyword(5) | integer programming |
| Keyword(6) | |
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| Keyword(8) | |
| 1st Author's Name | Rei Maeda |
| 1st Author's Affiliation | Chuo University (Chuo Univ.) |
| 2nd Author's Name | Hiroyuki Kato |
| 2nd Author's Affiliation | Chuo University (Chuo Univ.) |
| 3rd Author's Name | Kiyotaka Yamamura |
| 3rd Author's Affiliation | Chuo University (Chuo Univ.) |
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| Speaker | Author-1 |
| Date Time | 2012-11-19 15:20:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2012-80 |
| Volume (vol) | vol.112 |
| Number (no) | no.301 |
| Page | pp.23-28 |
| #Pages | 6 |
| Date of Issue | 2012-11-12 (NLP) |
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