线性化理论

In this paper a new variational method for approximating the semilinear singular parabolic equation is given by using continuous finite elem...

本文利用连续时空有限元法对半线性奇异抛物方程进行了研究，利用线性化方法给出了有限元解的存在性证明和理论误差估计。

By means of the nonlinear state feedback and coordinates transformation,many uncertain nonlinear systems can be transformed as a linear fractional transformation on the generalized plant and the uncertainty.

非线性系统线性化后，线性系统的鲁棒控制方法就可用于控制器的设计[1 - 3] 。80年代以来，鲁棒控制理论得到了迅速发展，H∞方法和μ方法成为鲁棒控制设计的有效工具，并广泛应用于线性系统控制中 [4- 8] 。

This article sets up a state equation of reactor power control, making- use of the differential geometry theory of modern cybernetics, and applying this theory to deal with the non-linear neuclear dynamics model .

本文建立了反应堆功率调节系统的状态方程，运用现代控制理论中微分几何理论对非线性核动力学模型进行线性化处理，根据观察器理论，构造了状态变量C的观察器，研究了在反应堆功率和反应性两种扰动下反应堆全反馈功率调节系统的品质。

The equations of dynamics for the balance are established by Kane's method, from which derives the characteristic equation of natural frequency by means of linearization of dynamic equations, and the six natural frequencies being developed according to the theory of vibration. The law of the six natural frequencies varying with mass of the upper platform and the stiffness of the elastic element are presented,and the Finite Element Method is employed to testify the validity of theoretical results.

基于 Kane 方法研究天平的动力学及模态，通过线性化动力学方程建立天平的固有频率方程，依据振动理论推导出并联天平的六阶固有频率及其对应的振型，同时研究了天平的六阶固有频率随敏感单元刚度系数及上平台质量的变化规律，并用有限元法验证理论计算结果的正确性。

By means of Floquet theory,Lyalpunov function, Hurwitz criterion, linearization, Lasalle invariable set principle,, characteristic line, coincidence degree, estimation of inequality ,numerical simulation and so on, we study two kinds of models with impulsive vaccination.

其中综合运用Floquet 原理、Lyapunov函数、 Hurwitz判据、线性化、 Lasalle不变集、数值模拟、射频映射、分支理论、不等式估计、重合度理论等方法和知识，系统地研究了两类实施脉冲疫苗策略的非线性模型。

This thesis introduces the basic principle of the least square data fitting.. According to the least square data fitting ,the paper studies and analyzes the linear least square fitting ,the quantic least square fitting and nonlinear least square fitting respectively . By using the mathimatic instrument Matlab , this paper shows a lot of examples of interrelated questions. Using Matlab makes the theory of data fitting easier to be understood.

本文介绍了最小二乘数据拟合法的基本原理，并根据最小二乘数据拟合方法，分别针对线性最小二乘拟合、多项式最小二乘拟合，非线性最小二乘拟合（lsqcurvefit、nlinfit、lsqnonlin、以及非线性的线性化）、多元最小二乘拟合进行了分析和研究，并通过数学工具Matlab实现了对相关问题的举例应用，使相关数据拟合理论更加生动易懂。

Based on the review of progress in parametric uncertainty nonlinear system control theory, it is noticed that design methods based on feedback linearization are the main parts and the author proposes a robust controller design method for a nonlinear parametrization uncertain system satisfying feedback linearization and triangularity conditions,and a robust output tracking controller for a nonlinear parametrization uncertain system based on the identification of uncertain parameters.

在对该领域研究进展分析的基础上，针对满足三角形条件和反馈线性化条件的非线性参数化不确定系统提出了一种鲁棒控制器设计方法，并针对非线性参数化不确定系统提出了基于参数识别的鲁棒输出跟踪器的设计方法。后者是本文为飞机防滑刹车系统设计输出跟踪器的理论基础，同时也是本文的创新点之一。在对结合力产生本质讨论的基础上，分析了滑水现象产生的原因和预防措施。

The paper also conducts experimental investigation and theoretical analysis of static instability, such as subcool boiling instability, intermittent boiling instability and geyser instability.

通过微小偏差法将非线性的液钠两相流动的基本方程组线性化和无量纲化，应用系统控制理论建立液钠沸腾流动不稳定性的理论分析模型，可以对液钠沸腾发生两相流动不稳定性进行预测计算。

The linear relationship between boiling temperature and salt concentration was verified by the experimental results and thermodynamical theory.

实验结果和热力学基本原理确证了体系的沸点与加入盐浓度间的线性关系，计算了各双液组成下体系的盐效应常数，分析了实验中产生&异常&现象的原因，探讨了溶液内部粒子相互作用的规律，通过用相律、盐效应理论、静电理论、溶剂化理论的解释，得到了一些具有理论价值的结论。

2Theory of pulse combustion was analyzed and its mechanism were discussed with planewave transferring theory in the thesis.Models of pulse combustor were reviewed and analyzed.Theone-dimensional unsteady nonlinear model of pulse combustor was simplified with lineal method.The phase relation between pulse pressure and combustion heat discharge which may prompt ordamp pulse combustion process were discussed.

对脉动燃烧理论进行了分析探讨，从平面波的传递理论出发，分析了脉动燃烧的机理；在归纳综合现有的脉动燃烧器理论模型的基础上，采用线性化分析方法，对一维非线性脉动燃烧器理论模型进行了简化，并定性分析了脉动压力与燃烧放热之间的相位关系对脉动燃烧过程的激励和阻尼作用。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。