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Paper Abstract and Keywords
Presentation 2007-12-19 14:25
Global perturbation method for Hamilton-Jacobi equations of nonlinear control systems
Kazuyuki Yagasaki (Gifu Univ.), Noboru Sakamoto (Nagoya Univ.), Yoshihiro Hirata (Ishii Lab.) NLP2007-111
Abstract (in Japanese) (See Japanese page) 
(in English) We develop a global perturbation technique for obtaining approximate but analytical expressions of stabilizing solutions to Hamilton-Jacobi equations for nonlinear control systems. To this end, we approximately compute the stable manifolds of the equilibria in the corresponding Hamiltonian systems and use their relation to the stabilizing solutions.
Our basic idea for the computation is similar to an extension of Melnikov's method, which is a well known technique for detecting homoclinic orbits to equilibria or periodic orbits. We illustrate the developed technique for the Duffing oscillator as an example. A numerical computation for the stable manifold is also given and compared with the theoretical result to demonstrate the validity of this techinique.
Keyword (in Japanese) (See Japanese page) 
(in English) nonlinear control / Hamilton-Jacobi equation / global perturbation / stable manifold / dynamical systems theory / Melnikov's method / optimal control /  
Reference Info. IEICE Tech. Rep., vol. 107, no. 399, NLP2007-111, pp. 17-21, Dec. 2007.
Paper # NLP2007-111 
Date of Issue 2007-12-12 (NLP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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)
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Conference Information
Committee NLP  
Conference Date 2007-12-19 - 2007-12-20 
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 2007-12-NLP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Global perturbation method for Hamilton-Jacobi equations of nonlinear control systems 
Sub Title (in English)  
Keyword(1) nonlinear control  
Keyword(2) Hamilton-Jacobi equation  
Keyword(3) global perturbation  
Keyword(4) stable manifold  
Keyword(5) dynamical systems theory  
Keyword(6) Melnikov's method  
Keyword(7) optimal control  
Keyword(8)  
1st Author's Name Kazuyuki Yagasaki  
1st Author's Affiliation Gifu University (Gifu Univ.)
2nd Author's Name Noboru Sakamoto  
2nd Author's Affiliation Nagoya University (Nagoya Univ.)
3rd Author's Name Yoshihiro Hirata  
3rd Author's Affiliation Ishii Laboratory (Ishii Lab.)
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Speaker Author-1 
Date Time 2007-12-19 14:25:00 
Presentation Time 25 minutes 
Registration for NLP 
Paper # NLP2007-111 
Volume (vol) vol.107 
Number (no) no.399 
Page pp.17-21 
#Pages 5 
Date of Issue 2007-12-12 (NLP) 

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