CONTROL AFFINE SYSTEMS ON SEMISIMPLE THREE-DIMENSIONAL LIE GROUPS

被引：8
|
作者：
Biggs, R. [1 ]
Remsing, C. C. [1 ]
机构：
[1] Rhodes Univ, Dept Pure & Appl Math, ZA-6140 Grahamstown, South Africa
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA | 2013年 / 59卷 / 02期
关键词：
nonlinear control system; feedback control; affine space; semisimple Lie algebra;
D O I：
10.2478/v10157-012-0038-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify the full-rank left-invariant control affine systems evolving on (real) semisimple three-dimensional Lie groups. This is accomplished by reducing the problem to that of classifying the affine subspaces of the Lie algebras so (2; 1) and so (3).
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页码：399 / 414
页数：16
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