The methods used in this dissertation include matrix, algebra as well as differential geometry theory.
本文采用的研究方法有矩阵方法，代数方法和微分几何理论。
Design of these controllers combines the differential geometry theory with the variable structure control theory.
这种控制器的设计结合了微分几何理论及变结构控制理论。
The feasibility of designing controller for control permanent-magnet synchronous motor speed is proposed by using differential geometry theory.
对采用微分几何方法设计永磁同步电机转速控制器的可行性进行了研究。
Secondly, differential geometry theory has been introduced to permanent magnet thruster motor for solving the problem of nonlinear object difficult to control.
第二、将微分几何理论引入到永磁推进电机系统中，以解决非线性控制对象难于控制的问题。
First, a differential geometrical description equation is obtained based on differential geometry theory without the need to estimate the parameter of available time-to-go.
首先，基于微分几何理论，得到了导弹运动的微分几何描述方程，无需估计剩余飞行时间。
Similar to methods of differential geometry theory, equivalent theorem between differential algebraic systems passivation and KVP property was used by introducing m derivative.
利用类似微分几何理论的方法，通过引入微分代数系统的m导数，利用微分代数系统无源性定义以及kvp特性的等价定理。
Based on the differential geometry theory, a mathematical model of milling cutter and a generalized 3-dimension nonlinear model of element cutting force are developed in this paper.
基于微分几何理论建立了任意形状铣刀的数学模型，给出适用于任意形状铣刀的三维单元铣削力模型。
Equation about isometric polygon curve is set up with differential geometry theory. The curve is proved to be convex curve which the distance between any parallel tangent lines is equal.
应用微分几何理论，导出了等距曲线的方程，证明了它是具有任意两条平行切线之间距离都相等的卵形线。
In this paper, velocity harmonization and acceleration harmonization of a 2R-1P3R two-arm robot have been studied for special-shaped surface stone with the differential geometry theory and D-H method.
用微分几何理论和D-H法研究了2R-1P3R 双臂机器人用于异形石材加工的速度协调和加速度协调，导出了由工艺给定的切削加工速度求解各关节运动速度和加速度的计算公式。
The theory of rectilinear congruence is an important field in differential geometry.
直线汇理论是古典微分几何的一个重要研究领域。
Based on the curve theory in differential geometry, we introduce for general control systems the concepts of shape variable, the controlled shape-trace curve and the shape congruence control.
针对一般控制系统，利用微分几何中的曲线理论提出了形状变量、被控形状轨迹曲线和形状合同控制等概念。
In the classical differential geometry which deals with the theory of curves and surfaces of three dimensional Euclidean space, the most distinctive study is the Weingarten surface.
经典微分几何研究三维欧氏空间中曲线曲面理论，其最具有特色的研究是主曲率函数满足某些关系的魏因加吞曲面。
The general equations of principal curvature derived from differential geometry overcame the limitations of previous equations derived from the theory of elastic thin plate with small deflection.
由微分几何学原理得到计算主曲率的一般公式，克服了由薄板小扰度弯曲理论得到的主曲率计算公式的局限性。
Non geodesic trajectory mandrel rotation and payout eye motion equations for fiber reinforced composite pressure vessels are derivated by theory of differential geometry.
本文用微分几何理论推导出纤维缠绕复合材料压力容器的非测地线缠绕轨迹、包角方程及绕丝头运动方程。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
The centerline of elastic rod or elastic filament can be abstracted as space curves to deal with them by the knowledge of the theory of space curve and differential geometry.
由于弹性杆的中心线或弹性细丝可以抽象成空间曲线，然后根据空间曲线论和微分几何的知识进行处理。
Combined the curve theory of differential geometry and the cable model applied distributed load, form analysis and tension analysis of boundary cable, ridge cable and valley cable were performed.
结合微分几何的曲线论和分布荷载作用下索的受力模型，研究了索膜结构中边索、脊索和谷索的受力分析和形状分析。
According to surface theory in differential geometry, the two-dimensional surface is parameterized by two variables.
微分几何中的曲面论，用两个变量就可以完全参数化一个二维曲面。
Aiming at the solving problem of equilibrium solution of this nonlinear model, geometry theory of differential equations is adopted, and the relative calculation formula is given.
采用微分方程几何理论分析河流综合水质模型的基本方程，探讨了河流综合水质模型的平衡状态解的求解方法，并给出相关计算公式。
A comparative study of two decoupling control methods based on vector control and nonlinear multi-input-multi-output state-feedback based on theory of differential geometry is researched.
对异步电动机的矢量控制和基于微分几何理论的非线性多输入多输出状态反馈两种解耦控制方案作理论和试验比较研究。
On the basis of the differential geometry, the geometrical theory of machining free form surface by cylindrical cutter in 5-axis NC machine tool is investigated.
从微分几何学的角度，探讨了在五坐标数控机床上采用圆柱形刀具线接触加工自由曲面的几何学原理，分析了刀具面与被加工曲面二阶密切的条件。
By making use of the methods about cutting theory and differential geometry, the cutting forces in the equations were calculated.
用切削原理的方法结合微分几何的理论求解切削力。
Then the basic formulae and the theorem on its unique existence have been established as doing in the curve theory in Differential Geometry.
接着，仿微分几何的曲线论，建立了基本公式和唯一存在定理。
Fractal theory is the most active branch of the non-linear science, what it concerns is non-smooth and non-differential geometry produced by complex systems.
分形理论是非线性系统理论中最为活跃的分支之一，研究的是复杂系统产生的不光滑、不可微分的复杂几何体。
Based on the theory of differential geometry and geodesy, the second order differential equation and the first differential relationship are derived on the regional earth ellipsoid in this paper.
通过在积分换元、微分方程求解、多（一）元复合函数求全微分、偏导数及高阶偏导数中的应用举例，论述了一阶微分的形式不变性在微积分学中的作用不应被忽略。
Equations for describing the tooth surface of a face-gear were established, and the contact path was formed by differential geometry and meshing theory.
推导了双圆环面包络环面蜗杆磨齿啮合界线方程及其与相配蜗轮啮合的啮合界线方程。
Equations for describing the tooth surface of a face-gear were established, and the contact path was formed by differential geometry and meshing theory.
推导了双圆环面包络环面蜗杆磨齿啮合界线方程及其与相配蜗轮啮合的啮合界线方程。
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