geometry of the group manifold 中文意思是什麼
geometry of the group manifold
解釋
群流形幾何學-
In the part of orbit control, the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint, and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control, the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra, moreover, to design corresponding control schemes
在軌道控制部分,研究的主要思想是從整體化的觀點出發定義一種建立在riemann流形上的非線性控制系統,將狀態空間的幾何結構與控制系統的狀態方程建立直接的聯系。在姿態控制部分,研究的主要思想是以整體微分幾何方法為工具,以李群與李代數等數學理論為基礎,從數學角度建立具有良好性能的數學模型,並設計出相應的控制方法。
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