The isoperimetric problem is one of the basic differential geometric problems.
平面上等周问题是微分几何的基本问题之一。
The decoupling problem for a class of nonlinear MIMO time-delay systems is studied with differential geometric method.
利用微分几何方法研究了一类非线性多输入多输出时滞系统的解耦问题。
Based on modern differential geometric approach and Lie algebra, nonlinear control theory has formed a new theoretical branch.
基于近代微分几何理论与李代数之上的非线性控制理论形成了一新的理论分支。
The approach largely simplifies the system analysis, and build a necessary basis for the application of differential geometric methods.
这种方法极大地简化了分析和演算，并为应用微分几何控制方法打下了必要的基础。
A measurement with good or high radial resolution will have a sharp peak in the radial differential geometric factor at some distance from the tool.
对于径向分辨率好或高的测量结果而言，其径向微分几何因子在与仪器一定距离的位置有一个尖峰。
Comparison between the direct feedback Iinearization (DFL) theory and the differential geometric feedback linearization theory for nonlinear control systems is presented.
对非线性控制系统的直接反馈线性化(DFL)方法与微分几何反馈线性化方法进行了比较研究。
The approach proposed in this paper is based on differential geometric theory, and the HVDC systems are taken as a variable admittance connected at the inverter or rectifier ac bus.
该方法基于微分几何理论，并将直流输电系统等效为两个分别连接在整流侧和逆变侧的变导纳支路。
A nonlinear control design approach based on differential geometric control theory and nonlinear control strategies of advanced static VAR generator (ASVG) are presented in this paper.
基于微分几何控制理论中的零动态设计方法，首次提出了新型静止无功发生器(ASVG)非线性控制的设计方法和相应的控制规律。
However, the abstract differential geometric method is lack of system theory for nonlinear system and relies on the precise of the system, which to some extent limited its application.
但是，由于抽象的微分几何理论缺乏面向非线性控制的系统理论，且它必须依赖于系统的精确数学模型，这严重制约了它在实际工程中的广泛应用。
Chapter 4 mainly solved the problems of tooth flank parameterization and the analysis of differential geometric structure, which is the theoretical basis to implement the third order contact analysis.
第4章主要解决了齿面的参数化和微分几何结构分析问题，它是实现三阶接触分析理论的基础。
The geometric continuity of two regular curves at the connection point can be discussed from differential geometry and Algebra.
关于两段正则曲线在公共节点处的几何连续性的问题可以从微分几何和代数的角度考虑。
It plays an important role in global differential geometry to study the geometric and topological properties of Gaussian image of submanifolds.
子流形高斯像的几何与拓扑是整体微分几何领域的重要研究课题之一。
Geodesics on smooth surface have many good geometric properties and there are equivalent partial differential equations and analytical methods solving it.
测地线在光滑曲面上有很好的几何性质，也有相应的测地线偏微分方程表达以及一些解析的方法来求解。
Conditions for the existence of solutions to periodic and isolated waves of limited amplitude are directly obtained based on qualitative geometric theory for ordinary differential equations.
利用微分方程解的几何定性理论，直接得到该方程存在有限振幅的周期波与孤立波解的存在条件。
According to the geometric character of the plant root systems, the method was designed to simulate the continuous growth of the plant root systems with differential L-systems theory.
本文根据植物根系的几何特征，结合植物根系的生长函数，探讨了微分l系统理论在植物根系模拟中的具体应用。
The nonlinear partial differential equations for the tall pier vibration of railway bridges are derived by taking the influence of geometric nonlinearity into consideration, i.
以铁路高桥墩为研究对象 ，导出了计轴力及内力素方向改变所致非线性项的高桥墩振动偏微分方程。
My main research interests are differential geometry, complex geometry, and geometric analysis, the speciality is the geometric heat flows and its applications in geometry and topology.
从事微分几何，复几何，几何分析方面的研究，主要为几何热流及其在几何拓扑中的应用。
In this paper the geometric properties of the difference periodic solutions of ordinary differential equations are discussed.
本文讨论常微分方程差分周期解的几何性质。
D′Alembert′s principle is used to derive an ordinary differential equation set for free vibration of a discretized square tensioned membrane with geometric nonlinearity.
应用达朗贝尔原理建立了考虑几何非线性的方形张拉膜结构的离散非线性振动方程组；
D′Alembert′s principle is used to derive an ordinary differential equation set for free vibration of a discretized square tensioned membrane with geometric nonlinearity.
应用达朗贝尔原理建立了考虑几何非线性的方形张拉膜结构的离散非线性振动方程组；
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