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| Presentation | 2019-07-20 13:00 Analysis of a simple stochastic hybrid dynamical system using its Fokker-Planck equation Keigo Togame, Akihiro Nakamura, Yasuyuki Suzuki, Taishin Nomura (Osaka Univ.)  MBE2019-22 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | The intermittent control in human quiet standing is a hypothetical model that we proposed recently, in which a conventional (time-delay) proportional-derivative feedback controller is switched on and off discontinuously depending on the postural state. When torque noise is considered, this model is formulated by a stochastic hybrid dynamical system that switches between two stochastic differential equations representing the sub-systems with and without actions of the feedback controller. Dynamics of a stochastic differential equation are often analyzed using its Fokker-Planck equation. However, little studies reported the use of Fokker-Planck equations for stochastic hybrid dynamical systems. In this study, we analyze a very simple stochastic hybrid dynamical system model using its Fokker-Planck equation to provide a basis of a theoretical analysis for the intermittent control model in human quiet standing. In particular, we analyzed a hybrid Fokker-Planck equation that satisfies a continuity in the stochastic flux at the discontinuous switching surface, as a boundary condition, using a finite element method. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | intermittent control / postural control / stochastic hybrid dynamical system / Fokker-Planck equation / finite element method / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 119, no. 137, MBE2019-22, pp. 19-24, July 2019. | |
| Paper # | MBE2019-22 | |
| Date of Issue | 2019-07-13 (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 | MBE2019-22 |
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| Conference Information | |
| Committee | MBE |
| Conference Date | 2019-07-20 - 2019-07-20 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | MBE |
| Conference Code | 2019-07-MBE |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis of a simple stochastic hybrid dynamical system using its Fokker-Planck equation |
| Sub Title (in English) | |
| Keyword(1) | intermittent control |
| Keyword(2) | postural control |
| Keyword(3) | stochastic hybrid dynamical system |
| Keyword(4) | Fokker-Planck equation |
| Keyword(5) | finite element method |
| 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 | 2019-07-20 13:00:00 |
| Presentation Time | 25 minutes |
| Registration for | MBE |
| Paper # | MBE2019-22 |
| Volume (vol) | vol.119 |
| Number (no) | no.137 |
| Page | pp.19-24 |
| #Pages | 6 |
| Date of Issue | 2019-07-13 (MBE) |
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