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

Kotaro Hirasawa, Jinglu Hu, Junichi Murata

研究成果: Conference 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English
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Published - 2002
外部発表はい
イベント15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
継続期間: 2002 7 212002 7 26

出版物シリーズ

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

Other

Other15th World Congress of the International Federation of Automatic Control, 2002
CountrySpain
CityBarcelona
Period02/7/2102/7/26

ASJC Scopus subject areas

  • Control and Systems Engineering

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