Local Controllability for Linear Control Systems on Lie Groups

被引：0
|
作者：
Fabiana Cardetti
Dirk Mittenhuber
机构：
[1] University of Connecticut,Department of Mathematics
[2] Rauser Towers Perrin GmbH,undefined
来源：
Journal of Dynamical and Control Systems | 2005年 / 11卷
关键词：
Systems on Lie groups; noninvariant systems; linear control systems; local controllability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this work, we study controllability properties of linear control systems on Lie groups. Using Lie theory of semigroups, we obtain local controllability results for this type of systems. In addition, properties for the flow of the drift vector field X and for the reachable set of the system are presented. Finally, an example on the Heisenberg Lie group is considered, and its properties are proved using the theory developed.
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页码：353 / 373
页数：20
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