Generic bifurcations of control-affine systems in the plane and their properties

被引：0

作者：

Jakubczyk, B ^{[1
]}

Respondek, W ^{[1
]}

机构：

[1] Warsaw Univ, Inst Appl Math & Mech, PL-02097 Warsaw, Poland

来源：

42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS | 2003年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We define bifurcations of control-affine systems in the plane and classify all generic 1-parameter bifurcations with nonvanishing control field. More precisely, we classify topological bifurcations of invariants of usual feedback equivalence. There are six such bifurcations: two bifurcations of equilibrium sets, two bifurcations of critical sets and two bifurcations of pairs of invariants. We also analyze how time optimality properties and stabilizability of generic planar families change when the parameter varies.

引用

页码：3305 / 3310

页数：6

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