微分

This dissertation discusses the numerical solution of diff...

本文研究微分代数方程的数值求解问题。

But diffeomorphism invariant theory leaves some problems to be explained, and the meanings of spacetime and physical theory are still in question.

但微分同胚不变理论存在需要解释的问题，空时及物理理论的意义仍不明确。

Further, when the coefficients are smooth, the solutions form a stochastic diffeomorphism flow.

而且，若系数是光滑的，则方程的解形成一随机微分同胚流。

A diffeomorphism is applied to transform the nonlinear system into a new coordinate system. The stability and robustness of the system are analysized in detail.

根据微分同胚，将含有建模误差的非线性系统变换为易于分析的规范形式，并在此基础上分析了故障诊断系统的稳定性和鲁棒性。

Results show that the normal forms of diffeomorphism theory can reflect the nonlinear characteristic of power grid better, and the location to implement load control and place to allocate SVC can be effectively decided.

结果表明，微分同胚正规形方法能更好地反映电力系统的非线性特性，有效地确定实施负荷控制措施的地点以及SVC的安装地点。

Analysis shows that the robot model containing uncertainty can be transformed into a quasi—linearized form by using nonlinear feedback and diffeomorphism. Based on this result, a simple design method is proposed for robot tracking control.

第一种算法将谈自忠等提出的机器人反馈线性化控制推广到存在不确定性的情形，指出通过非线性反馈和微分同胚变换可将含不确定性的机器人模型变换成准线性形式，基于此给出一种简单的跟踪器设计方案。

The basic idea of the method is: take a diffeomorphism mapping and coordinate transformation to the nonlinear model, to get exact linearization model of the power system, with the state feedback. At last, optimal control method is adopted to design the chaos controller of the power system.

该方法基本路线为：对系统非线性模型通过微分同胚进行坐标变换，再采用状态反馈，完成对电力系统非线性模型的精确线性化处理，之后，采用最优控制方法，设计控制器。

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。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。