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

Kotaro Hirasawa, Jinglu Hu, Junichi Murata

研究成果: ジャーナルへの寄稿Conference article

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.

元の言語英語
ページ(範囲)241-246
ページ数6
ジャーナルIFAC Proceedings Volumes (IFAC-PapersOnline)
15
発行部数1
出版物ステータス出版済み - 1 1 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

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Nonlinear systems
Derivatives
Trajectories

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

これを引用

(N, ε) stability analysis of nonlinear systems using universal learning networks. / Hirasawa, Kotaro; Hu, Jinglu; Murata, Junichi.

:: IFAC Proceedings Volumes (IFAC-PapersOnline), 巻 15, 番号 1, 01.01.2002, p. 241-246.

研究成果: ジャーナルへの寄稿Conference article

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