A NECESSARY CONDITION FOR FEEDBACK STABILIZATION

被引：66

作者：

CORON, JM ^{[1
]}

机构：

[1] UNIV PARIS 11,ANAL NUMER LAB,F-91405 ORSAY,FRANCE

来源：

SYSTEMS & CONTROL LETTERS | 1990年 / 14卷 / 03期

关键词：

asymptotic stabilization; continuous feedback; controllability; homology; Nonlinear systems;

D O I：

10.1016/0167-6911(90)90017-O

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 give a new necessary condition for the existence of a - static or dynamic - continuous asymptotically stabilizing feedback control for the system x dot = f(x, u). We apply our condition to give an example of a system in R3 which is small time locally controllable, satisfies 'Brockett's second and third condition' and cannot be locally asymptotically stabilized by employing a - static or dynamic - continuous feedback law. © 1990.

引用

页码：227 / 232

页数：6

共 24 条

[1] STABILIZATION OF A CLASS OF NONLINEAR-SYSTEMS BY A SMOOTH FEEDBACK-CONTROL [J].