论文标题
海森堡集团同质空间上的线性控制系统
Linear control systems on the homogeneous spaces of the Heisenberg group
论文作者
论文摘要
让H表示三维的Heisenberg Lie Group。本文通过其封闭的子组在H的均匀空间上对所有可能的线性控制系统进行了分类,并揭示了针对非简单连接的均匀(状态)二维均值的特定动力学的控制行为(可控性能和控制集)的详细研究。
Let H denote the 3-dimensional Heisenberg Lie group. The present paper classify all possible linear control systems on the homogeneous spaces of H through its closed subgroups and expose a detailed study on the control behavior (controllability property and control sets) of a particular dynamics evolving on a non simply connected homogeneous (state) space of dimension two.