论文标题
关于线性控制系统的有界控制集的结构特性
On the structural properties of the bounded control set of a linear control system
论文作者
论文摘要
本文表明，连接的Lie组$ G $上线性系统的有界控制集包含系统的所有有界轨道。结果，它的闭合是与系统漂移相关的中央亚组的笛卡尔乘积的连续图像。
The present paper shows that the bounded control set of a linear system on a connected Lie group $G$ contains all the bounded orbits of the system. As a consequence, its closure is the continuous image of the cartesian product of the set of control functions by the central subgroup associated with the drift of the system.
