CONTROLLABILITY OF LINEAR SYSTEMS ON LIE GROUPS

被引：40

作者：

Jouan, P. ^{[1
]}

机构：

[1] Univ Rouen, CNRS, UMR 6085, F-76801 St Etienne, France

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2011年 / 17卷 / 04期

关键词：

Lie groups; linear systems; controllability; time optimal control;

D O I：

10.1007/s10883-011-9131-2

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A vector field on a connected Lie group is said to be linear if its flow is a one parameter group of automorphisms. A control-affine system is linear if the drift is linear and the controlled vector fields right invariant. The controllability properties of such systems are studied, mainly in the case where the derivation of the group Lie algebra that can be associated to the linear vector field is inner. After some general considerations controllability properties on semi simple, nilpotent and compact Lie groups are stated. The paper ends by many examples.

引用

页码：591 / 616

页数：26

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