问题

By investigating Newton\'s Problem of the Solid of Least Resistance,John Bernoulli\'s Brachystochrone Problem and Jacob Bernoulli\'s Isoperimetric Problem, the physics and Calculus background of the calculus of variations is illustrated,the fundamental thought together with the patterns of solutions are summarized,and the ideas and the interaction of the pioneers,such as the Bernoullis and B.

通过考察牛顿最小阻力体问题、约翰·伯努利最速降线问题和雅可布·伯努利等周问题等问题的提出过程及解决方法，深入探究了变分法诞生的深刻背景，提炼和概括出了伯努利兄弟和泰勒等先驱者解决变分问题的基本思想和求解模式，追溯了其微积分渊源，并分析了三位先驱(来源：ABCbc论文64网www.abclunwen.com)者之间的变分法思想传承及相互影响。3。

For the single objective optimization, the decomposition and coordination method is adopted to build the decomposition and coordination model according to the existing sub-area division conditions of power networks. Then using the Augmented Lagrange method, the minimization problem of decomposition and coordination model can be changed to the saddle point problem of augmented Lagrangian function. Finally, the so called auxiliary problem principle is selected to decompose variables as well as the functions. This transforms the voltage and reactive optimization problem of the wholenetworks to some sub-problems in some sub-areas.

对于单目标无功电压优化，根据实际电网分区情况，采用分解协调法复制各分区的边界节点，建立分解协调模型，采用增广拉格朗日法将求分解协调模型的极小值问题转化为求增广拉格朗日函数的鞍点问题，然后采用辅助问题原理分解变量和增广拉格朗日函数，从而将全网无功电压优化问题分解为多个分区的分布式并行优化问题。

Return us for this task, actually individual information leak this problem is to become more and more serious actually, actually this problem we look from the whole world, it is a few leak of individual information data only not only, see among the report that includes us to be able to differ from whole world each district a lot of about database of popular of a few societies, the information of a few governments and legionary database has produce missing situation, about this problem actually we also had a lot of experts to had realized, the technologist of each countries on the world, the firm expert that includes us is engaged in on this problem all the time and study a lot of years, I think everybody may be on the product to us, the circumstance understanding that serves client field to the product still is not very clear, but what I want to assure is, personnel meets the technology that our company and I believe global each district discuss this issue further, can capture further such difficult problem.

回到我们这个课题来说，其实个人信息泄漏这个问题实际上是变得越来越严重了，其实这个问题我们从全球来看，不仅只是个人信息数据的一些泄漏，包括我们可以从全世界各地不同的报道当中看到很多关于一些社会大众的数据库，一些政府和军队数据库的信息都有发生丢失的情况，其实关于这个问题我们也有很多的专家已经意识到了，世界上各个国家的技术专家，包括我们的公司专家一直在这个问题上从事和研究很多年，我想大家可能在对于我们的产品上，对于产品服务客户方面的情况了解还不是很清晰，但是我想保证的是，我们公司以及我相信全球各地的技术人员会进一步的探讨这个问题，会进一步攻克这样的难题。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少，文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题；对线性情形，较容易地获得了边值问题的解存在以及唯一的充分必要条件，而对非线性情形，则通过压缩原理和锥理论等各种不动点定理，获得了一系列新的充分条件。

Based on the concept of flexible decision, this paper studies 3 problems. They are multiobjective decision making, resource allocation and one kind of cooperative game. In order to solve the flexible decision problem, the methods used in this paper include maximin method, set inclusion method, interactive method and interval analysis method.

本文提出了符合客观决策问题的柔性决策的概念，并把柔性决策的思想贯穿于三方面问题的研究，即多目标决策问题、资源分配问题和一类合作协商对策问题。

In some mixture design problems, it may not be necessary to consider processing issues and hence we would not have the process model constraints and the problem becomes a simple mixing problem, which would already have been addressed

在一些混合料设计上的问题，它可能没有必要考虑处理的问题，因此我们不会有流程模型的限制，问题就一个简单的混合问题，这已经得到解决在分4相容性问题的准则。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

The problem of PI controller design for the multi-input and multi-output system is transformed to that of static output feedback controller design via the new state variable. As to the problem of the static output feedback, a new LMI-based sufficient condition of the controller is presented in this thesis. We can gain the multivariable PI controllers just solving one LMI inequality. The numerical example is provided to illustrate the proposed design approach. 3.The H_∞ robust control is able to solve the multivariable problem, also the control problem characteristic of the modeling error, parameters uncertainties and unknown perturbation, Its application research in the power electronics is beginning now. Considering the characteristics of the PWM DC-DC converters, a multivariable PI controllers which is based on H_∞ Performance Index is designed.

通过构造新的状态变量，可以将多输入多输出系统的PI控制器设计问题转化为静态输出反馈控制问题，利用后者的成熟理论来设计控制器；本文在问题转化后采用更为简便的算法，只需通过求解一个LMI不等式，就能求取基于H_∞性能指标的多变量PI控制器参数，实例验证了算法的有效性。3.H_∞鲁棒控制具有处理多变量问题的能力，可解决具有建模误差、参数不确定和干扰未知系统的控制问题；它在电力电子学中的应用研究刚刚开始。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

Distinct from those methods, this paper's main idea is to reformulate CPs as an unconstrained minimization problem with the form of least squares of a system of overdetermined equations being equivalent to the CPs.

与这些方法不同，本文的基本思想是借助互补问题与某个超定方程组同解的事实，利用该方程组的最小二乘形式将原问题直接转化为无约束优化问题，这样不仅把问题转化为光滑优化问题，而且避免了引入光滑参数导致的不便。

Chrysanthemum of 10 thousand birthday is lax to edaphic requirement, with the arenaceous qualitative loam with fecund, good drainage had better.

万寿菊对土壤要求不严，以肥沃。排水良好的砂质壤土为好。

He unstepped the mast and furled the sail and tied it.

他拔下桅杆，把帆卷起，系住。