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| Presentation | 2020-03-06 13:25 A finite state markov-chain approximation of the intermittent control model during human quiet standing using a finite element analysis of its Fokker-Planck equation Keigo Togame, Akihiro Nakamura, Yasuyuki Suzuki, Taishin Nomura (Osaka Univ.)  MBE2019-96 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The intermittent control during human quiet standing is a hypothetical neural control strategy that we have proposed in recent years. In this model, the standing posture is stabilized by switching between on and off in the use of a time-delay proportional-derivative feedback controller discontinuously depending on the postural state. By taking stochastic nature of the postural dynamics (postural sway) into account, the model driven by additive noise can be described by a hybrid stochastic differential equation. It is preferable that dynamics of such model is analyzed by a time evolution of probability density function of the state point, which can be described by a Fokker-Planck equation, rather than by that of a single sampled state point. Because a solution of a Fokker-Planck equation is a Markov process, we can obtain a finite state Markov-chain approximation of a Fokker-Planck equation using a finite element analysis that discretizes the equation in time and space. However, only few studies so far focused on the use of a finite element analysis for Fokker-Planck equation, particularly hybrid stochastic differential equations. In this study, we establish an algorithm for performing a finite element analysis for Fokker-Planck equations for hybrid stochastic differential equations. We then show that the developed algorithm can be successfully applied to the analysis of the intermittent postural control model. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | stochastic hybrid dynamical system / Fokker-Planck equation / finite element method / markov process / intermittent control / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 119, no. 452, MBE2019-96, pp. 83-83, March 2020. | |
| Paper # | MBE2019-96 | |
| Date of Issue | 2020-02-26 (MBE) | |
| 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 | MBE2019-96 |
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| Conference Information | |
| Committee | NC MBE |
| Conference Date | 2020-03-04 - 2020-03-06 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | University of Electro Communications |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Neuro Computing, Medical Engineering, etc. |
| Paper Information | |
| Registration To | MBE |
| Conference Code | 2020-03-NC-MBE |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | A finite state markov-chain approximation of the intermittent control model during human quiet standing using a finite element analysis of its Fokker-Planck equation |
| Sub Title (in English) | |
| Keyword(1) | stochastic hybrid dynamical system |
| Keyword(2) | Fokker-Planck equation |
| Keyword(3) | finite element method |
| Keyword(4) | markov process |
| Keyword(5) | intermittent control |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Keigo Togame |
| 1st Author's Affiliation | Osaka University (Osaka Univ.) |
| 2nd Author's Name | Akihiro Nakamura |
| 2nd Author's Affiliation | Osaka University (Osaka Univ.) |
| 3rd Author's Name | Yasuyuki Suzuki |
| 3rd Author's Affiliation | Osaka University (Osaka Univ.) |
| 4th Author's Name | Taishin Nomura |
| 4th Author's Affiliation | Osaka University (Osaka Univ.) |
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| Speaker | Author-1 |
| Date Time | 2020-03-06 13:25:00 |
| Presentation Time | 25 minutes |
| Registration for | MBE |
| Paper # | MBE2019-96 |
| Volume (vol) | vol.119 |
| Number (no) | no.452 |
| Page | p.83 |
| #Pages | 1 |
| Date of Issue | 2020-02-26 (MBE) |
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