退化临界点附近系统结构分析

2006 SICE-ICASE International Joint Conference Pub Date : 2006-12-01 DOI:10.1109/SICE.2006.315105

G. Nishida, H. Nakamura, Zhiwei Luo

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摘要

本文从控制工程的角度出发，讨论了退化临界点周围系统结构的新问题。然后，给出了系统构造弱Lyapunov函数的两种基本格式。该过程基于以下变形。其中一种是由索恩分裂引理的形式局部坐标定义的坍缩残余奇点。另一种是对奇点解析的夸大

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Analysis of system structure around degenerate critical points

In this paper, we 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 singularity defined by the formal local coordinate of Thorn's splitting lemma. The other is a blowing-up for the resolution of singularity

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2006 SICE-ICASE International Joint Conference

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