| Paper Abstract and Keywords |
| Presentation |
2006-07-03 14:45
Exact Model Structure Simplification via Immersion to Polynomial Systems
Toshiyuki Ohtsuka (Osaka Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Although a state-space representation of a nonlinear system can consist of a various kind of functions, its model structure can be simplified to rational functions or polynomial functions via a mapping called immersion, while preserving the input/output mapping exactly. An immersion is a mapping of the state and, in most cases, maps the state to a higher dimensional space. In this paper, the necessary and sufficient condition for immersibility of a given system into a polynomial system is characterized in terms of the finiteness of a certain field. This algebraic condition is so mild that almost all practical systems can be immersed into a polynomial systems. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
nonlinear systems / input-output map / state-space representation / immersion / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 106, no. 135, NLP2006-27, pp. 31-34, July 2006. |
| Paper # |
NLP2006-27 |
| Date of Issue |
2006-06-26 (NLP) |
| ISSN |
Print edition: ISSN 0913-5685 |
| Download PDF |
|
| Conference Information |
| Committee |
NLP |
| Conference Date |
2006-07-03 - 2006-07-04 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Kanazawa Univ. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
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| Paper Information |
| Registration To |
NLP |
| Conference Code |
2006-07-NLP |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Exact Model Structure Simplification via Immersion to Polynomial Systems |
| Sub Title (in English) |
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| Keyword(1) |
nonlinear systems |
| Keyword(2) |
input-output map |
| Keyword(3) |
state-space representation |
| Keyword(4) |
immersion |
| Keyword(5) |
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| 1st Author's Name |
Toshiyuki Ohtsuka |
| 1st Author's Affiliation |
Osaka University (Osaka Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2006-07-03 14:45:00 |
| Presentation Time |
25 minutes |
| Registration for |
NLP |
| Paper # |
NLP2006-27 |
| Volume (vol) |
vol.106 |
| Number (no) |
no.135 |
| Page |
pp.31-34 |
| #Pages |
4 |
| Date of Issue |
2006-06-26 (NLP) |