THEORY OF SINGULARITIES OF INPUT-OUTPUT APPLICATION AND OPTIMALITY OF SINGULAR TRAJECTORIES IN THE OPTIMAL-TIME PROBLEM

被引：51

作者：

BONNARD, B ^{[1
]}

KUPKA, I ^{[1
]}

机构：

[1] UNIV TORONTO,DEPT MATH,TORONTO M5S 1A1,ONTARIO,CANADA

来源：

FORUM MATHEMATICUM | 1993年 / 5卷 / 02期

关键词：

D O I：

10.1515/form.1993.5.111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the time optimality status of singular trajectories for single-input affine systems. The basic tools are the construction of semi-normal forms under the action of the transformation group generated by changes of coordinates and feedbacks and the use of an adaptated representation of the input space, which allow to evaluate the accessibility sets. We get necessary and sufficient optimality conditions under generic or codimension one assumptions.

引用

页码：111 / 159

页数：49

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