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

Kotaro Hirasawa, Takayuki Furuzuki, Junichi Murata

研究成果: Conference contribution

抜粋

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.

元の言語English
ホスト出版物のタイトルIFAC Proceedings Volumes (IFAC-PapersOnline)
出版者IFAC Secretariat
ページ241-246
ページ数6
15
エディション1
出版物ステータスPublished - 2002
外部発表Yes
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

Other

Other15th World Congress of the International Federation of Automatic Control, 2002
Spain
Barcelona
期間02/7/2102/7/26

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • これを引用

    Hirasawa, K., Furuzuki, T., & Murata, J. (2002). (N, ε) stability analysis of nonlinear systems using universal learning networks. : IFAC Proceedings Volumes (IFAC-PapersOnline) (1 版, 巻 15, pp. 241-246). IFAC Secretariat.