Presentation	2006-07-03 Exact Model Structure Simplification via Immersion to Polynomial Systems Toshiyuki OHTSUKA,
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Abstract(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.
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Keyword(in English)	nonlinear systems / input-output map / state-space representation / immersion
Paper #	NLP2006-27
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Conference Information
Committee	NLP
Conference Date	2006/6/26(1days)
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Paper Information
Registration To	Nonlinear Problems (NLP)
Language	JPN
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)
Keyword(1)	nonlinear systems
Keyword(2)	input-output map
Keyword(3)	state-space representation
Keyword(4)	immersion
1st Author's Name	Toshiyuki OHTSUKA
1st Author's Affiliation	Graduate School of Engineering, Osaka University()
Date	2006-07-03
Paper #	NLP2006-27
Volume (vol)	vol.106
Number (no)	135
Page	pp.pp.-
#Pages	4
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