(N, ε) stability analysis of nonlinear systems using universal learning networks

Kotaro Hirasawa, Jinglu Hu, Junichi Murata

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

抄録

This paper proposes a stability analysis method based on the higher order derivatives of ULNs. In the proposed method, the following are proposed. Firstly, if the absolute values of the first order derivatives of any coordinates of the original trajectory with respect to any initial disturbances approach zero at time infinity, then the trajectory is locally asymptotically stable. Secondly, the (n, ε) locally asymptotically stable region, where asymptotical stability is secured approximately, is obtained by neglecting the higher order derivatives until nth order with e approximation.

本文言語英語
ホスト出版物のタイトルIFAC Proceedings Volumes (IFAC-PapersOnline)
編集者Gabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
出版社IFAC Secretariat
ページ241-246
ページ数6
1
ISBN(印刷版)9783902661746
DOI
出版ステータス出版済み - 2002
イベント15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, スペイン
継続期間: 7 21 20027 26 2002

出版物シリーズ

名前IFAC Proceedings Volumes (IFAC-PapersOnline)
番号1
15
ISSN(印刷版)1474-6670

会議

会議15th World Congress of the International Federation of Automatic Control, 2002
Countryスペイン
CityBarcelona
Period7/21/027/26/02

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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