查询词典 imbedding theorem

On the basis of the Lyapunov stabilty theorem, the calculating method of the optimum coordinating gain on-line is put forward, which makes the algorithm stable and quick in convergence. Simulation results show that the method is effective.

根据Lyapunov稳定性定理，给出了MTS法稳定收敛的最优协调增益K的在线计算方法，大大加快了算法的收敛速度，以甲醇制甲醛生产优化控制为例，仿真结果表明，该方法是有效的。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理，在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下，通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道，在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件，并找到了一组对应的实参数，由此证明了异宿轨道的存在性。

The validity of simulating star map is verified by using the angle-distance of stars and projection theorem.

利用星间角距和投影原理的性质来验证星图模拟的有效性。

Using Taylor Theorem,we generalize the second sufficient conditions for extreme point and inflection point,and give the classification for a large class of stationary point .

利用泰勒定理，推广了极值的第二充分条件和拐点的第二充分条件，并对某一大类驻点进行了分类。

The stabilities of the stationary state solutions are studied with a linear stability theorem.

用线性稳定性定理分析了相对粒子数布居的定态解的稳定性。

With the help of Stokes theorem, the restriction condition of elastic-response functional is obtained.

进一步讨论了由于使用上述背应力张量的定义对屈服函数形式的限制。

Methods The method of shooting and bouncing rays was used to calculate the RCS and stokes' theorem was used to improve the arithmetic.

方法利用射线跟踪法对电大尺寸的三面角反射器的后向散射场进行分析，并利用斯托克斯定理将射线跟踪法中的面积分简化为代数多项式。

In the light of Stokes theorem, the reason why latex paint would be delaminated was analyzed and factorsinfluencing latex paint delamination were exploited interms of selection of wetting dispersant, assortment of thickener anddesign of pigment volume concentration .

本文以斯托克斯法则为依据，分析了乳胶漆分层的原因，并从润湿分散剂的选择、增稠剂的搭配及颜料体积浓度的设计上探讨了影响乳胶漆分层的因素。

In the new method for two-dimensional problems the line integrals onboundary elements are converted into the evaluation of potentialfunctions at the ends of these elements.For three-dimensional cases,thesurface integrals on the usual boundary elements are transformed,through an application of Stokes'theorem,into line integrals on thebounding contours of these elements.

边界轮廓法是刚刚出现的一种新型的边界元法，该方法的核心是利用边界积分方程被积函数散度为零的特性，对二维问题，原积分方程中沿边界单元的线积分被化为单元两端点势函数之差计算，对三维问题，将边界单元上的面积分转变为沿单元轮廓的线积分，它是一种十分简便有效的边界元新技术。

By regarding the forest-sum growth-cutting rate as the control variable and judging its optimality by "norm minimum", we have given a existence theorem of the optimal control for the area distributing systems of forest trees by utilizing space L2(0,T)'s reflexivity, smoothness and strict convexity.

本文将林木总和长消率作为控制变量，以"范数最小"来衡量其最优性，利用空间L2（0，T），T＞0的自反、光滑和严格凸性，给出了森林面积分布系统最优控制的一个存在性定理。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。