Analysis of system structure around degenerate critical points

Gou Nishida, Hisakazu Nakamura, Zhiwei Luo

Research output: Chapter in Book/Report/Conference proceedingConference contribution


In this paper, we will state the new problem of system structures around degenerate critical points in the viewpoint of control engineering. Then, two fundamental schemes are presented to construct a weak Lyapunov function systematically. The procedures are based on the following deformations. One of them is a collapsing residual singular-ity defined by the formal, local coordinate of Thom's splitting lemma. The other is a blowing-up for the resolution of singularity.

Original languageEnglish
Title of host publication2006 SICE-ICASE International Joint Conference
Number of pages4
Publication statusPublished - 1 Dec 2006
Event2006 SICE-ICASE International Joint Conference - Busan, Korea, Republic of
Duration: 18 Oct 200621 Oct 2006

Publication series

Name2006 SICE-ICASE International Joint Conference


Conference2006 SICE-ICASE International Joint Conference
CountryKorea, Republic of



  • Algebraic/Geometric methods
  • Nonlinear systems
  • Singular analysis

Cite this

Nishida, G., Nakamura, H., & Luo, Z. (2006). Analysis of system structure around degenerate critical points. In 2006 SICE-ICASE International Joint Conference (pp. 2386-2389). [4108039] (2006 SICE-ICASE International Joint Conference).