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| Presentation | 2008-01-31 17:55 Estimate of Attractive Regions of Saturated Systems by using Star Shaped Polytopic Lyapunov Functions Yuzo Ohta (Kobe Univ.)  NLP2007-140 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We show how the combination of piecewise linear Lyapunov functions and star-shaped polytopic Lyapunov functions can be used to estimate attractive regions for linear systems with saturation. We first construct a piecewise linear Lyapunov function for a given system by using the linear programming method, and compute the estimate of attractive region which is a level set of the Lyapunov function. Then, we construct polytopes from obtained regions, and apply star-shaped polytopic Lyapunov function approach to improve the estimate of attractive region. To demonstrate the usefulness of the proposed method we show a numerical example. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Attractive Region / Saturation / Piecewise Linear Lyapunov function / Star shaped Polytopic Lyapunov Functions / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 107, no. 477, NLP2007-140, pp. 61-66, Jan. 2008. | |
| Paper # | NLP2007-140 | |
| Date of Issue | 2008-01-24 (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 | NLP2007-140 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2008-01-31 - 2008-02-01 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2008-01-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Estimate of Attractive Regions of Saturated Systems by using Star Shaped Polytopic Lyapunov Functions |
| Sub Title (in English) | |
| Keyword(1) | Attractive Region |
| Keyword(2) | Saturation |
| Keyword(3) | Piecewise Linear Lyapunov function |
| Keyword(4) | Star shaped Polytopic Lyapunov Functions |
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| 1st Author's Name | Yuzo Ohta |
| 1st Author's Affiliation | Kobe University (Kobe Univ.) |
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| Speaker | Author-1 |
| Date Time | 2008-01-31 17:55:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2007-140 |
| Volume (vol) | vol.107 |
| Number (no) | no.477 |
| Page | pp.61-66 |
| #Pages | 6 |
| Date of Issue | 2008-01-24 (NLP) |
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