Adjoint Orbits of sl(2, R) on Real Simple Lie Algebras and Controllability

被引：0

作者：

El Assoudi-Baikari, Rachida ^{[1
]}

机构：

[1] INSA Rouen, Math Lab, Ave Univ, F-76801 St Etienne, France

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2016年 / 22卷 / 01期

关键词：

Simple Lie groups; Root systems; Invariant vector fields; Controllability; RIGHT INVARIANT-SYSTEMS; SEMIGROUPS;

D O I：

10.1007/s10883-015-9277-4

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 shows that for any Lie group G whose Lie algebra L is the split real form of a complex simple Lie algebra, and for any arbitrary root alpha, there exists a Cartan decomposition of L, related to alpha, which characterizes some controllability properties by using the adjoint orbits of sl(2, R). For a class of invariant control systems evolving on G, it is proved that the necessary full rank condition for controllability is also sufficient.

引用

页码：169 / 189

页数：21

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