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Paper Abstract and Keywords
Presentation 2022-01-22 11:20
A response analysis of a system with time delay under non-Gaussian colored noise -- Validity of Taylor expansion approximation for a time-delay term --
Hideto Fukushima, Ikuhiro Yamaguchi, Takahiro Tsuchida, Hiroya Nakao (Tokyo Tech) NLP2021-101 MICT2021-76 MBE2021-62
Abstract (in Japanese) (See Japanese page) 
(in English) The response characteristics of dynamical systems to random signals have been studied widely, e.g., in vibration control of structures subjected to wind loads or seismic waves in civil engineering, and in suppression of seizures in the nervous system such as epileptic seizures or Parkinson's disease in medical engineering. The non-Gaussianity of the random signal and the time delay of the system response can be important in such systems, but they are either neglected or only one of them is considered in many studies and their synergistic effects remain unclear due to the difficulty in mathematical treatment. In this study, we consider a simple linear system with a time delay subjected to non-Gaussian colored noise. Despite its simplicity, the time delay makes the system mathematically infinite-dimensional. However, the system can be reduced to a finite-dimension system by applying the Taylor expansion approximation. We investigate and visualize the validity and accuracy of this dimensionality reduction in detail to reveal the characteristics of the original time-delay system, in particular the effect of non-Gaussianity.
Keyword (in Japanese) (See Japanese page) 
(in English) non-Gaussian noise / colored noise / time-delay / simulation / Taylor expansion approximation / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 335, NLP2021-101, pp. 129-134, Jan. 2022.
Paper # NLP2021-101 
Date of Issue 2022-01-14 (NLP, MICT, 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 NLP2021-101 MICT2021-76 MBE2021-62

Conference Information
Committee NLP MICT MBE NC  
Conference Date 2022-01-21 - 2022-01-23 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NLP 
Conference Code 2022-01-NLP-MICT-MBE-NC 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A response analysis of a system with time delay under non-Gaussian colored noise 
Sub Title (in English) Validity of Taylor expansion approximation for a time-delay term 
Keyword(1) non-Gaussian noise  
Keyword(2) colored noise  
Keyword(3) time-delay  
Keyword(4) simulation  
Keyword(5) Taylor expansion approximation  
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1st Author's Name Hideto Fukushima  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
2nd Author's Name Ikuhiro Yamaguchi  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
3rd Author's Name Takahiro Tsuchida  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
4th Author's Name Hiroya Nakao  
4th Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2022-01-22 11:20:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2021-101, MICT2021-76, MBE2021-62 
Volume (vol) vol.121 
Number (no) no.335(NLP), no.336(MICT), no.337(MBE) 
Page pp.129-134 
#Pages 6 
Date of Issue 2022-01-14 (NLP, MICT, MBE) 

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