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Paper Abstract and Keywords
Presentation 2008-08-05 10:45
On solution to the state equation for autonomous continuous Petri nets
Tadashi Matsumoto, Masahiro Osogami (Fukui Univ. of Tech.), Seiichiro Moro (Univ. of Fukui) CST2008-21
Abstract (in Japanese) (See Japanese page) 
(in English) Discrete Petri nets are basic models for concurrent systems and a firing count vector for transitions is one of key concepts to describe and evaluate algebraically their behavior, where Fourier-Motzkin method has been effectively used for the augmented system [A;¡b]ex = 0 of state equation Ax = b. Continuous Petri nets were introducted in 1987 and their behaviour was extensively studied from two aspects; the fluidication at the net level and the relaxation at some equation level. However, particular solutions for state equation of continuous Petri nets have not been demonstrated in the above two. In this paper, particular solutions as well as elementary T-invariants are obtained from the augmented system of state equation in continuous Petri nets by Fourie-Motzkin method, where, for a specified firing count vector x 2 Rn£1 + , the expansion coefficients with respect to all elemntary T-invariants
are also obtained by the same technique.
Keyword (in Japanese) (See Japanese page) 
(in English) autonomous continuous Petri nets / discrete Petri nets / hybrid Petri nets / firing count vectors, / T-invariants / particular solutions / expansion coefficients / Fourier-Motzkin method  
Reference Info. IEICE Tech. Rep., vol. 108, Aug. 2008.
Paper #  
Date of Issue 2008-07-28 (CST) 
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)
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Conference Information
Committee MSS  
Conference Date 2008-08-04 - 2008-08-05 
Place (in Japanese) (See Japanese page) 
Place (in English) Shizuoka University (Hamamatsu Campus), Faculty of Engineering 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Concurrent Systems 
Paper Information
Registration To MSS 
Conference Code 2008-08-CST 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On solution to the state equation for autonomous continuous Petri nets 
Sub Title (in English)  
Keyword(1) autonomous continuous Petri nets  
Keyword(2) discrete Petri nets  
Keyword(3) hybrid Petri nets  
Keyword(4) firing count vectors,  
Keyword(5) T-invariants  
Keyword(6) particular solutions  
Keyword(7) expansion coefficients  
Keyword(8) Fourier-Motzkin method  
1st Author's Name Tadashi Matsumoto  
1st Author's Affiliation Fukui University of Technology (Fukui Univ. of Tech.)
2nd Author's Name Masahiro Osogami  
2nd Author's Affiliation Fukui University of Technology (Fukui Univ. of Tech.)
3rd Author's Name Seiichiro Moro  
3rd Author's Affiliation University of Fukui (Univ. of Fukui)
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Speaker Author-1 
Date Time 2008-08-05 10:45:00 
Presentation Time 25 minutes 
Registration for MSS 
Paper # CST2008-21 
Volume (vol) vol.108 
Number (no) no.176 
Page pp.53-58 
#Pages 6 
Date of Issue 2008-07-28 (CST) 

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