查询词典 affine variety

Due to the non-affine form of the control inputs, feedback linearization method can not be used to design control system. Therefore, implicit function theorem is firstly exploited to assert the existence of the ideal control inputs, which can compel the system outputs to track their desired trajectories, and then ideal control inputs are constructed.

由于该系统的控制输入为非仿射形式，不能采用反馈线性化的方法设计控制系统；因此，首先采用隐函数定理证实了能够使系统输出跟踪期望轨迹的理想控制输入的存在性，并构造了理想的控制输入。

We analyze the essence of affine reconstruction and prove the sufficient conditions that a reversible matrix can be an infinite plane homography matrix and we can not uniquely decide an infinite plane homography matrix from fundamental matrix.

详细分析了仿射重构的本质，证明了可逆矩阵为无穷远平面单应矩阵的充分条件，以及从基本矩阵无法唯一确定无穷远平面单应矩阵。

Then the affine permutation in the process of S-box construction was combined with an inverse mapping in order to construct all kinds of S-boxes, such as 8×8、4×4、6×6 and m×n S-boxes, and the avalanche probabilities of these S-boxes were analyzed in the light of variance, and some rules were obtained from the analysis, which will help to find safer S-boxes.

然后通过将有限域上的乘法逆元与一个可逆仿射变换相结合构造了一批8×8、6×6和4×4的S盒，并从方差的角度分析了S盒的雪崩概率，同时总结出部分结论。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下：在第1章中，给出了本文研究课题的研究现状、理论意义和实际应用，并介绍了本文的研究对象、研究内容以及主要贡献；在第2章中，针对确定性非线性系统和随机非线性系统，分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本；对仿射系统，在控制Lyapunov函数框架下，给出了Sontag公式；同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念；在第3章中，针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统，给出并证明了逆最优增益配置可解定理，使用自适应Backstepping算法和均值定理，系统地设计了自适应逆最优控制器和逆最优跟踪器，这种设计方法可同时获得逆最优控制策略和自适应律，简单明了，仿真结果表明该控制算法的有效性，并给出了性能估计。

The main contributions of the thesis are as follows: Using invariants and matrix theory, especially the special properties of eigenvalues and eigenvectors of the so called irreducible matrix, we put forward several effective new algorithms for the complete matching problem under Euclidean transformation, similarity transformation and general affine transformation.

论文的主要贡献如下：利用不变量和矩阵理论，特别是巧妙地利用了不可约矩阵的特征值和特征向量的特殊性质，提出了求解欧氏变换、相似变换和一般仿射变换下完全匹配情形的点模式匹配问题的几种非常有效的新算法。

The DRDC method has been improved in this paper.8 isometry transforms are added into the calculation of difference matrix of domain blocks and range blocks.The affine transform parameters,produced from the calculation of difference matrix,were used to calculate fractal codes corresponding to range blocks and a set of inference for formula was given.

对DRDC方法进行了改进，在定义域块与值域块的差值矩阵计算中，增加了8种旋转变换，并利用求解差值矩阵过程中产生的仿射变换参数来计算值域块所对应的分形码，并给出公式推导。

Iterated Function System and the basic of fractal image coding method are introduced. A new affine transformation based on nonlinear luminance transformation is present.

介绍了IFS框架及分形图象压缩编码的基本方法，提出了一组基于非线性亮度变换的仿射变换模型。

GDAL datasets have two ways of describing the relationship between raster positions (in pixel/line coordinates) and georeferenced coordinates. The first, and most commonly used is the affine transform.

GDAL dataset有两种方式去描述栅格位置和地理坐标的关系：第一种，也是最常用的一种是用仿射变换，另一种是GCPS地面控制点

By constructing local affine coordinate system , the geometric construction and properties of end vertices for rational cubic uniform B splines are studied.

给出了有理三次均匀 B样条曲线的几何形状修改法，使对该样条曲线的修改更加灵活、方便

With the assumption that electric field is constant within each element, the relationship of the degrees of freedom over each element is determined by introducing a local affine coordinate system.

在单元内部电场为常量场的假设下，使用局部仿射坐标架，确定出每个单元上自由度所服从的约束关系，由此导出对角化质量矩阵的公式。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。