CONTROLLABILITY ALONG A TRAJECTORY - A VARIATIONAL APPROACH

被引：67

作者：

BIANCHINI, RM ^{[1
]}

STEFANI, G ^{[1
]}

机构：

[1] DIPARTIMENTO MATEMAT & APPL,I-80100 NAPLES,ITALY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1993年 / 31卷 / 04期

关键词：

LOCAL CONTROLLABILITY AT A POINT; LOCAL CONTROLLABILITY ALONG A TRAJECTORY; HIGH-ORDER VARIATIONS; C-1 CONTROL SYSTEMS; C-INFINITY AFFINE CONTROL SYSTEMS; GRADED APPROXIMATIONS;

D O I：

10.1137/0331039

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 paper unifies and improves most sufficient conditions of local controllability both along a trajectory and at a point. This is accomplished by defining high-order variations that can be continuously summed. The peculiar property of these variations is that they may be generated by thin conditions as relations in the Lie algebra associated with a control system. This property leads to a variational interpretation of Sussmann-type sufficient conditions of local controllability (neutralization of obstructions), and it allows the use of different weights for neutralization.

引用

页码：900 / 927

页数：28

共 20 条

[1]

Bianchini R. M., 1988, Analysis and Control of Nonlinear Systems, P131

[2] GRADED APPROXIMATIONS AND CONTROLLABILITY ALONG A TRAJECTORY [J].