线性算子

Robust filtering for the delta operator formulated linear uncertain discrete time systems with error variance constraints is considered.

研究基于Delta算子描述的线性不确定离散时间系统在稳态估计误差方差约束下的鲁棒滤波问题。

Every existence theorem of them is proved, respectively.

本文所获的一些结果不仅是非线性泛函分析领域中一系列重要定理的推广，而且它们为随机微分方程、随机积分方程及随机算子方程的研究提供重要的工具。

In Chapter 4, the related mathematical knowledge, methods and principles are presented which include mathematical morphology, Fourier transform and discrete cosine transform, illposed problem and corresponding regularization methods, basic iteration methods and preconditioning technologies.

回顾并比较了传统线性和非线性滤波方法，详细综述了从变分到PDE在图像滤噪与模糊恢复上的应用和发展，模型基本形式为无约束极小化问题：〓（1）惩罚算子L扩散形式为〓（2）Κ为扩散项，是调整扩散程度的关键因子。

A multi-channel representation of the input image was obtained by a bank of Gabor filters, corresponding to multiple scales and multiple orientations. Full-wave rectification of each channel and contrast gain control among the channels were performed sequentially to get orientation feature maps with multiple scales and multiple orientations.

从输入图像出发，采用Gabor算子建立多尺度、多方位的多通道图像，通过全波整流和各通道间的对比度增益控制，得到多尺度、多方位的方位特征图，这些特征图的线性组合则为显著性图。

About Dirac eigenvalue problem with general two points' liner algebra, corresponding operator of which often is non-self-adjoint operator.

对于一般两点线性边界条件下的Dirac特征值问题，相应的算子一般说是非自伴的。

It has been prepared for the investigation of inexact quasi-newton method for operator equations in infinite dimensional space.

文献[1]对有限维空间中非线性方程组的不精确拟牛顿法的收敛性进行了研究，为无穷维空间上的算子方程的不精确拟牛顿法的研究作好了准备。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Such a problem need us to know whether an onto isometry between the unit spheres of Banach spaces has an linear extension to the whole space?

它是问定义在两个Banach空间单位球面到单位球面上的等距算子是否可以线性等距延拓到整个空间上？

This book reviews the many areas of numerical analysis, including the configuration polynomial, finite difference, factorial polynomials, summation, Newton formula, operator and configuration polynomial, Cheung section, close polynomials, TaylM more item type, interpolation, numerical differentiation, numerical integration, and with the series, differential equations, differential equations, least squares polynomial approximation, minimax polynomial approximation, rational function approximation, triangular approximation, non-linear algebra, linear equations, linear programming, boundary value problems, MonteCarIo methods and so on.

本书综述了数值分析领域的诸多内容，包括配置多项式、有限差分、阶乘多项式、求和法、Newton公式、算子与配置多项式、祥条、密切多项式、TaylM多项式、插值、数值微分、数值积分、和与级数、差分方程、微分方程、最小二乘多项式逼近、极小化极大多项式逼近、有理函数逼近、三角逼近、非线性代数、线性方程组、线性规划、边值问题、MonteCarIo方法等内容。本书的特色主要表现在利用例题及大量详细的题解来透彻地阐明所述内容的内涵，同时附有大量的补充题以便读者进一步巩固和深化从书中获得的数值分析知识。

Considering the vehicular SG cruise integrating model under braking condition influenced by some factors of nonlinearity, time-delay and the disturbance, a new nonlinear SMITH predictor is designed to compensate the time delays of control variable in advance. Furthermore, with the resort of pure delay operator, extension of the Lie derivative and the Lie bracket, some issues of SISO nonlinear system with time delays in state variable are resolved, which cover the input-output linearization, invertability of coordinate transformation and the disturbance decoupling problem.the staged transformation and design technique, the vehicle deceleration tracking control and the SG cruise disturbance decoupling control under braking condition are carried out effectively using proposed control method.

在建立制动工况下车辆走-停巡航系统集成模型基础上，针对其非线性、时滞特性以及目标车减速度干扰的影响，提出一种改进的非线性SMITH预估补偿方法，以消除控制变量时滞，并结合时滞算子、扩展李导数和扩展李括号方法，研究并解决了SISO状态变量时滞非线性系统的输入输出线性化、坐标变换的可逆性以及输出干扰解耦问题，实现了SISO时滞非线性系统的综合控制。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。