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

Kotaro Hirasawa, Jinglu Hu, Junichi Murata

Research output: Contribution to journalConference article


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.

Original languageEnglish
Pages (from-to)241-246
Number of pages6
JournalIFAC Proceedings Volumes (IFAC-PapersOnline)
Issue number1
Publication statusPublished - Jan 1 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: Jul 21 2002Jul 26 2002


All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering

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