FEEDBACK EQUIVALENCE FOR NONLINEAR-SYSTEMS AND THE TIME OPTIMAL-CONTROL PROBLEM

被引：26

作者：

BONNARD, B

机构：

[1] Domaine Univ, Saint-Martin-d'Heres

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1991年 / 29卷 / 06期

关键词：

NONLINEAR CONTROL SYSTEMS; FEEDBACK CLASSIFICATION; TIME OPTIMAL CONTROL; INVARIANT THEORY;

D O I：

10.1137/0329067

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article relates the classification of affine control systems under the action of the feedback group, with a differential classification of a set of constrained Hamiltonian vector fields, arising from Pontryagin's Maximum Principle, for the time minimal control problem. They represent the singularities of the input-state mapping. This relation provides a method to compute feedback invariants.

引用

页码：1300 / 1321

页数：22

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