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Paper Abstract and Keywords
Presentation 2009-03-12 13:00
Approximation of Dynamical Systems by Continuous Time Recurrent Neural Networks -- Extension to Non-autonomous Systems, and Approximate Extended Conditions --
Yuichi Nakamura, Masahiro Nakagawa (Nagaoka Univ. of Tech.) NC2008-141
Abstract (in Japanese) (See Japanese page) 
(in English) As the theoretic capability of recurrent neural networks, approximate realization to trajectories of dynamical systems was shown. However, in the proof of approximation capability of continuous time recurrent network, there is a restriction as approximation to only the autonomous dynamical system which has no external input. In this paper, we show that the approximation capability of continuous time recurrent networks can be extended to the non-autonomous dynamical system with external input signals. Moreover, if the dynamical system has an asymptotically stable periodic solution for periodic external input, it is shown that the approximation to trajectories which converge to the periodic solution can be extended to global time interval.
Keyword (in Japanese) (See Japanese page) 
(in English) Recurrent Neural Network / Continuous Time System, Dynamical System / Non-autonomous / Approximation Capability / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 480, NC2008-141, pp. 225-230, March 2009.
Paper # NC2008-141 
Date of Issue 2009-03-04 (NC) 
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 NC2008-141

Conference Information
Committee NC MBE  
Conference Date 2009-03-11 - 2009-03-13 
Place (in Japanese) (See Japanese page) 
Place (in English) Tamagawa Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To NC 
Conference Code 2009-03-NC-MBE 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Approximation of Dynamical Systems by Continuous Time Recurrent Neural Networks 
Sub Title (in English) Extension to Non-autonomous Systems, and Approximate Extended Conditions 
Keyword(1) Recurrent Neural Network  
Keyword(2) Continuous Time System, Dynamical System  
Keyword(3) Non-autonomous  
Keyword(4) Approximation Capability  
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1st Author's Name Yuichi Nakamura  
1st Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
2nd Author's Name Masahiro Nakagawa  
2nd Author's Affiliation Nagaoka University of Technology (Nagaoka Univ. of Tech.)
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Speaker Author-1 
Date Time 2009-03-12 13:00:00 
Presentation Time 25 minutes 
Registration for NC 
Paper # NC2008-141 
Volume (vol) vol.108 
Number (no) no.480 
Page pp.225-230 
#Pages 6 
Date of Issue 2009-03-04 (NC) 

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