微分同胚

A catastrophe potential function, which has the same form of swallowtail catastrophe, was obtained by dimensionalnormalization and diffeomorphism.

基于能量平衡方程建立了热烟气层轰燃模型，经量纲归一化和微分同胚变换，得到属于燕尾突变的势函数。

Based on the diffeomorphism transformation and Lyapunov direct method, controllers for the reference yaw angle and the reference speed are designed.

首先应用微分同胚等效变换和Lyapunov直接法设计参考航向和参考速度，然后对船舶模型参数不确定的操纵环路和推进环路分别设计神经网络稳定自适应控制器跟踪参考航向和参考速度，并对外界风浪流干扰进行自适应补偿。

Appling nonlinear feedback with estimated parameters and state diffeomorphism, Based on the Lyapunov approach we can develop a kind of novel robust controller designed for a class of nonlinear systems with mismatched uncertainty.

针对反馈可线性化系统，利用含估计参数的非线性反馈及状态微分同胚，基于李亚普诺夫方法给出了含非匹配不确定性系统的新型鲁棒控制器的设计方案。

Using the theory of normal forms of diffeomorphism and according to nonlinear participation factors, a more accurate method to decide the location to implement load control or the place to allocate static var compensator is proposed.

应用微分同胚正规形理论，以非线性参与因子为依据，提出了确定实施负荷控制的地点及静止无功补偿(static var compensator，SVC)安装地点的更准确方法。

The nonlinear dynamic model was expressed based on the format of SISO affine nonlinear system. Then the system was represented into the standard Byres-Isidori format base on the diffeomorphism transform.

使用SISO仿射非线性系统描述了所建立的自行车机器人非线性动力学模型，利用非线性微分同胚变换将该系统化成了Byres-Isidori非线性系统的标准型形式。

The reduced dynamic model including motor dynamics is developed for nonholonomic mobile manipulators. The system is then decomposed into four lower-dimensional subsystems by applying diffeomorphism and nonlinear input transformation to the reduced model. The design of robust controller is also addressed for the output tracking of mobile manipulators.

首先给出了包括驱动电机动态特性的非完整移动机械臂的简化动态模型，然后通过微分同胚和输入变换将其分解为四个低阶子系统，并给出了其输出跟踪的滑模控制器设计方法。

After defining the normal forms and quasi—linearization forms, the simplified forms of uncertain nonlinear systems abtained by means of state feedback/disturbance feedforward/diffeomorphism are derived.

通过定义不确定非线性系统的规范型和准线性化形式，推出了不确定非线性系统经状态反馈/干扰前馈/微分同胚变换后所具有的简化形式。

Firstly, the reduced dynamic model including motor dynamics is developed for mobile manipulators. The system is then decomposed into four lower-dimensional subsystems by applying diffeomorphism and nonlinear input transformation to the reduced model. The design of the second order dynamical sliding mode controller is then addressed for the output tracking of mobile manipulators.

首先给出了包括驱动电机动态特性的移动机械臂的简化动态模型，然后通过微分同胚和输入变换将其分解为四个低阶子系统，并给出了其输出跟踪的二阶动态滑模控制器的设计方法。

A class of affine nonlinear system of single input-single output is investigated. Firstly, the nonlinear system is transformed into an equivalent linear system through a diffeomorphism transformation. The networked control problems for the delays are constant, stochastic and shorter than a sampling period, and long and stochastic are investigated respectively.

针对一类单输入-单输出仿射非线性系统，首先通过微分同胚变换实现了仿射非线性系统的无反馈精确线性化；然后基于精确化线性模型，分别讨论网络延时为常时滞，随机时滞小于一个采样周期和随机长时滞情况的控制问题。

In Chapter 3,the concept of obstruction set for diffeomorphisms is introduced.And then we givesan important relation between obstruction set and dual mapping.

在第三章我们对微分同胚引入了阻碍集的概念，随后给出了阻碍集与对偶映射之间的一个重要关系。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。