論文

査読有り
2005年5月

Model structure simplification of nonlinear systems via immersion

IEEE TRANSACTIONS ON AUTOMATIC CONTROL
  • T Ohtsuka

50
5
開始ページ
607
終了ページ
618
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1109/TAC.2005.847062
出版者・発行元
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC

This paper concerns the simplification of model structures of nonlinear systems while preserving their input-output maps. The basic technique is an immersion of a system, which is a mapping of the initial state from the original system to another system of an identical input-output map. The necessary and sufficient conditions are presented for the immersibility of a given system into a state-space representation of such particular structures as rational functions or polynomials with respect to the state. The conditions are so mild that many types of nonlinear systems can be represented by rational or polynomial model structures. Moreover, it is also shown that a polynomial state-space representation can always be constructed to be at most quadratic with respect to the state.

リンク情報
DOI
https://doi.org/10.1109/TAC.2005.847062
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000229085100005&DestApp=WOS_CPL
ID情報
  • DOI : 10.1109/TAC.2005.847062
  • ISSN : 0018-9286
  • Web of Science ID : WOS:000229085100005

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