Approximately controllable finite-dimensional bilinear systems are controllable

被引：2
|
作者：
Cannarsa, Daniele [1 ]
Sigalotti, Mario [2 ]
机构：
[1] Univ Paris, Sorbonne Univ, CNRS, INRIA,Inst Math Jussieu Paris Rive Gauche, F-75013 Paris, France
[2] Univ Paris, Lab Jacques Louis Lions, Sorbonne Univ, CNRS,INRIA, Paris, France
来源：
SYSTEMS & CONTROL LETTERS | 2021年 / 157卷
关键词：
Bilinear control systems; Controllability; Foliations; FOLIATIONS; ORBITS;
D O I：
10.1016/j.sysconle.2021.105028
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 show that a bilinear control system is approximately controllable if and only if it is controllable in R-n \ {0}. We approach this property by looking at the foliation made by the orbits of the system, and by showing that there does not exist a codimension one foliation in R-n \ {0} with dense leaves that are everywhere transversal to the radial direction. The proposed geometric approach allows to extend the results to homogeneous systems that are angularly controllable. (c) 2021 Elsevier B.V. All rights reserved.
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页数：6
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