线性部分

On the basis of diagnosis and measure of multicollinearity,a new biased estimator of unknown parameters called partial ridgeestimator is proposed for Gauss-Markov model.Its properties are discussed,and some important conclusions are drawn.The determination of biased parameter in the PR estimator is discussed too.

基于复共线性诊断和度量的结果，提出了测量平差Gauss-Markov模型参数的一个新的有偏估计，称为基于复共线性诊断和度量的部分岭估计，讨论了部分岭估计的优良性质，提出了岭参数的选取方法。

The scheme gave rise to a controller that clearly decomposed into a conventional linear model-based controller plus a nonlinear correction term.

这种方法所设计的控制器，可以分解为两个部分：一个基于线性模型的线性控制器；和一个基于模型非线性部分的校正环节。

This paper is devoted to studying the linear diophantine equation systematically under the ABS environment.

本文的研究工作分三个部分，首先介绍了ABS算法的研究进展和ABS软件的概况，其次对线性丢番图方程组的解法作了系统的阐述，最后给出了求解线性丢番图方程组的整隐式LU算法和整隐式LX算法并介绍了在ABS软件方面的部分工作。

Chapter 2 and Chapter 3 of this dissertation,we discussoptimal boundary control problems for a semilinear elliptic type equation with linearboundary condition and nonlinear boundary condition,respectively.

全文共分为三部分内容：在第一部分即本文的第二章和第三章中，我们分别讨论了带有线性边界条件以及非线性边界条件的半线性椭圆型方程的最优边界控制问题。

In chapter 2,we discuss the problem of the relationship between the solution of non - homogeneous linear differential and small function.

其中第二部分讨论了非齐次线性微分方程解取小函数的收敛指数，第三部分研究了齐次线性微分方程f~+Af=0的解的零点收敛指数与A的级的关系。

Content of the course consists of:(1)Basic Theories of Polynomials ;(2)Linear Algebra: topics on basic matrix theory, determinant, system of linear equations, vector space, linear transformation, eigenvalue problems, inner product and Euclidean space , and quadratic form etc.;(3) Analytic Geometry: topics on algebraic operations of vectors, coordinates, lines and planes, curves and curved surfaces, etc.

学习本课程后，学生应学会用线性空间与线性变换的观点处理包括线性代数方程组在内的有关理论与实际问题；学会熟练地运用矩阵工具；本课程还学习基本的多项式知识和空间解析几何的基本知识。课程内容包括几个主要部分：（1）多项式代数；（2）线性代数：矩阵，行列式，线性代数方程组，向量空间与线性变换理论，特征值问题，欧氏空间理论，二次型等；（3）解析几何：几何空间向量代数，通过建立坐标系以及借助向量方法研究空间平面与直线及点﹑线﹑面的相互关系，借助曲面方程研究空间曲面，尤其是柱面，锥面，旋转面和二次曲面以及曲面的交线等。

To develop Linear Fractional Transformation model based on quasi-linear model for ground-to-air missile, state transformation method was used to establish quasi-Linear Parameter Varying model for missile longitudinal short-period dynamics by changing missile states along with an equilibrium trajectory decided by time-varying parameters. Based on the obtained quasi-LPV model, the LFT model of the missile was developed by use of MATLAB functions, and the missile dynamics were explicitly separated into certainty part and time-varying parameter part.

为了建立基于准线性化模型的地空导弹线性分式变换模型，采用状态替换方法将导弹的状态沿着一条由时变参数决定的平衡点轨迹进行变换，建立了纵向短周期动力学的准线性参数时变模型；基于所建立的准LPV模型，采用MATLAB函数建立了导弹的LFT模型，将导弹动力学明确描述为确定性部分和时变参数部分。

In this paper,we discuss the Walsh spectral characteristics of partially-bent functions over ring Znq(q=p1*p2,p1、p2 are primes),propose two new concepts―nonzero factor variant-permanently linear structure and zero divisor variant―permanently linear structure,classify the variant-permanently linear structure of partially-bent functions and show their correlation,obtain several new equivalent conditions of partially-bent functions on ring Znq,finally,point out the correlations among balance, linear structure and points taking nonzero spectrum.

本文在环Znq上讨论了部分bent函数的谱特征(q=p1*p2，p1，p2是素数)，得到了Znq上部分bent函数的几个新的刻划，揭示了部分bent函数的平衡性、线性结构点及非零谱值点之间的相互关系，并对部分bent函数的恒变线性结构点进行了分类，指出了它们之间的相互关系，提出了零因子恒变线性结构点和非零因子恒变线性结构两个新概念。

The contributions of this paper are followed:1 IntroductionIntroduce the concept "Blind" and present MEMO blind source separation model.2 Research on the instantaneous mixture systemReview the techniques developed for the demixing of the instantaneous mixture case.3 Research on the linear convolutive systemModel the linear convolutive system and review the deconvolution approaches in time domain.4 Introduce a new method to MIMO BSSA new approach to MIMO blind source separation in frequency domain is introduced, experimental tests are conducted,and results are satisfied.

论文包括了以下几个部分： 1。简介介绍&盲&的概念，并对瞬时混合盲源分离系统进行建模。 2。对瞬时混合多输入多输出系统的研究对瞬时混合系统的盲源分离原理和技术进行了简单的回顾。 3。对线性卷积混合系统时域算法的研究对线性卷积混合系统建模，并对时域的盲解卷方法进行研究和比较。 4。提出了一种对线性卷积混合系统进行分离的新方法提出一种多输入多输出线性混合系统的频域盲源分离方法，进行仿真实验，以验证该算法的效果，初步结果令人满意的

Modeling and stability analysis problem of linear switched system are emphasized in this part and main results include:(1) Through investigation in the projection of 〓 on x, where x denotes continuous state vector, a series of sufficient conditions for stability, asymptotic stability and unstability of linear switched system's equilibrium in the sense of Lyapunov are achieved. And also, a sufficient and necessary condition for state bounded stability of linear switched system is received.(2) For a class of periodical linear switched system whose switching sets are a group of ordinal lines starting from the original point, it's proved that state bounded stability can be defined by the running characteristic in a single period (3) Based on linear switched system, the concept of linear switched system network is put forward. Linear switched system network is a complex network interconnected by many linear switched systems.

这部分着重研究线性切换系统的建模与稳定性分析问题，主要成果包括：（1）通过考察〓在x上的投影，得到线性切换系统的平衡点在Lyapunov意义下稳定、渐近稳定及不稳定的一系列充分条件，并得到了线性切换系统状态有界稳定的一个充要条件；（2）证明了对于一类切换集为从原点出发的一组射线的周期线性切换系统，其状态有界稳定可根据一个周期内的系统运行特性来判定；（3）在线性切换系统的基础上提出了线性切换系统网络的概念，线性切换系统网络是由多个线性切换系统交互作用而形成的复杂网络。

It has been put forward that there exists single Ball point and double Ball points on the symmetrical connecting-rod curves of equilateral mechanisms.

从鲍尔点的形成原理出发，分析对称连杆曲线上鲍尔点的产生条件，提出等边机构的对称连杆曲线上有单鲍尔点和双鲍尔点。

The factory affiliated to the Group primarily manufactures multiple-purpose pincers, baking kits, knives, scissors, kitchenware, gardening tools and beauty care kits as well as other hardware tools, the annual production value of which reaches US$ 30 million dollars.

集团所属工厂主要生产多用钳、烤具、刀具、剪刀、厨具、花园工具、美容套等五金产品，年生产总值3000万美元，产品价廉物美、选料上乘、质量保证，深受国内外客户的青睐