Stability analysis of nonlinear systems using high order derivatives of universal learning networks

K. Hirasawa; Y. Yu; J. Hu; Junichi Murata

Stability analysis of nonlinear systems using high order derivatives of universal learning networks

K. Hirasawa, Y. Yu, J. Hu, Junichi Murata

計測制御工学

研究成果: Contribution to conference › Paper › 査読

抄録

In this paper, a stability analysis method based on the higher order derivatives of ULNs is proposed. In the proposed method, the following are proposed. Firstly, if the absolute values of the first order derivatives of any nodes with respect to any initial disturbances approach zero at time infinity, then the trajectory is locally asymptotically stable. Secondly, the locally asymptotically stable region, where asymptotical stability is secured approximately is obtained by comparing the first order derivatives and higher order derivatives.

本文言語	英語
ページ	1273-1278
ページ数	6
出版ステータス	出版済み - 1 1 2001
イベント	International Joint Conference on Neural Networks (IJCNN'01) - Washington, DC, 米国継続期間: 7 15 2001 → 7 19 2001

その他

その他	International Joint Conference on Neural Networks (IJCNN'01)
Country	米国
City	Washington, DC
Period	7/15/01 → 7/19/01

All Science Journal Classification (ASJC) codes

Software
Artificial Intelligence

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引用スタイル

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