整體微分幾何 的英文怎麼說
中文拼音 [zhěngtǐwéifēnjīhé]
整體微分幾何
英文
global differential geometry-
Secondly, we introduce the theory that flat systems, an important subclass of nonlinear systems introduced via differential algebraic methods, are defined in a infinite dimensional differential geometrical framework. utilizing this method, the control system of the vtol aircraft becomes a linear control system. finally, we introduce the theory that is found by my teacher, wanghong professor
3 、應用平坦性分析方法和整體微分幾何方法分別分析了pvtol飛機在其起飛過程時的控制律，得到了該系統的整體化方程，指出了該系統是能控能觀的，並且指出該系統是平坦的控制系統，可以通過動態狀態反饋和適當的坐標變換使之變成線性系統。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。Professor chern was awarded the shaw prize in mathematical sciences 2004 for his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years
二零零四年邵逸夫數學科學獎授予陳省身教授，以表彰他開辟整體微分幾何學的成就。整體微分幾何學的精妙發展占著當代數學的核心，與拓樸學、代數學和分析學，簡而言之，與過去六十年數學的所有主要范疇都有密切關連。This thesis deals with the following results with regard to the control systems of satellite : ( 1 ) on the basis of global geometry theory, deprive the representation of state equation for the satellite orbit control system under the geometric restraint, show that the geometrical structure of geometric restraint affect on satellite orbit control system, and study the connection between the equilibriums state of the control system and the geodesies of the geometric restraint
對於人造衛星控制系統的研究，本論文的主要工作表現在以下幾個方面： （ 1 ）基於整體微分幾何理論推導出人造衛星軌道控制系統在幾何約束下的整體化方程，展示了幾何約束條件對人造衛星軌道控制系統的影響。並且討論了具有幾何約束的人造衛星軌道控制系統的平衡態與幾何約束條件之間的關系。With the method of the lie group transformation, the symmetry of the equation governing one dimensional finite strain consolidation is discussed and, from the point of the symmetry, the feasibility to obtain the analytical solution of these nonlinear partial differential equations is discussed. where - after exact or approximate analytical solutions focused on different consolidation problems are obtained, these including : under some assumptions of relations of the void ratio with coefficient of permeability and effective stress, the method of lie group transformation is applied to solve the non - linear partial differential equation of large strain consolidation of homogenous saturated clay soil in semi - infinite domain with the consideration of the material and geometrical nonlinearity during consolidation procession. the implicit exact solution without considering the effect of self - weight of soil is obtained
運用lie群變換方法討論了一維大應變非線性固結方程的對稱性，以及在該對稱性的意義下求解這類非線性偏微分方程解析解答的可能性，並就大應變非線性固結問題的多種情況求得了其完整的或者近似的解析解答，具體包括：基於有效應力與孔隙比以及滲透系數與孔隙比之間的關系的一些假定，採用李群變換求解考慮材料非線性和幾何非線性的半無限均質土體大變形固結非線性偏微分方程，得到了一個不考慮自重固結的完全解析解。Based on the software engineering idea, the design ideas for this system are expanded in four parts : concept design, detail design, geometrical modeling and analyzing, the system ' s integration
全文以軟體工程思想為基礎，從概要設計、詳細設計、幾何建模及分析、系統的集成方法四部分闡述了微型汽車驅動橋智能化設計系統的設計思路，最後給出了完整的運行實例。However, it was not until 1990s " that p. d. e. was systematicly introduced to the field of image processing, and formed a relatively integrated theory system combined with other mathematic tools such as mathematic morphology and affine geometry
但直到九十年代才比較系統地將偏微分方程引入圖像處理領域，結合其他一些數學工具如數學形態學和仿射幾何等，形成了比較完整的理論體系。R [ 16 ] we deprive the mathematical model of altitude and shape control of satellite with articulated appendages although not essential, the model formulation using li group and li algebra theory leads to relatively simple and available control formulas
R ，利用整體微分幾何的相關理論推導了帶有關節相連的附屬物的人造衛星姿態?形狀控制系統的數學模型，該模型的優點是易於採用簡單有效的控制方法。分享友人