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Based on the parametric solutions of a Sylvester matrix equation, the parametric expressions of the gain matrices of synchronization dynamic observer in the nonlinear feedback chaotic systems are presented, in which the parameter vectors offer all the design degrees that can be selected to satisfy some performances, such as robustness.

基于Sylvester矩阵方程的参数化解，给出了非线性反馈混沌系统的同步动态观测器矩阵的所有参数化表达式，其所含参量为混沌系统控制设计提供了全部自由度，可适当选择自由参量满足某些鲁棒性指标。

Part five discusses 3D model parametric representation, which includes 3D geometry parametrization and relative position relationship parametrization. In the former, the sweeping rules are further formalized, the concept of design parameters and modeling parameters is introduced. In the later, constraint transformation matrices of the position relationships between features are deduced, and the lost of model freedom resulted from the correspending constraint is analysed.

在特征几何参数化中，进一步规范化了特征几何的扫描生成规则，引入了设计参数和造型参数的概念，分析了造型参数向设计参数适时转化的必要性；在相对定位约束参数化中，推导了特征间一般位置约束关系的约束变换矩阵，拓宽了约束表示范围，并对约束的自由度亏损情况进行了分析。

Based on a general parametric eigenstructure assignment result proposed for descriptor linear systems via proportional plus partial derivative state feedback and a result for generalized eigenvalue sensitivity problem of matrix pairs, parametric representation of the closed-loop eigenvalue sensitivities to the perturbed elements in the open-loop system matrices is obtained. An effective algorithm for eigenvalue assignment with minimum sensitivity in descriptor linear systems via proportional plus partial derivative state feedback is then proposed.

摘要基于广义线性系统比例与部分状态导数反馈参数化特征结构配置结果和矩阵对广义特征值灵敏度结果，得到了关于开环系统矩阵中摄动元素的闭环特征值灵敏度的参数表达式，并在此基础上提出了广义线性系统比例与部分状态导数反馈最小灵敏度特征值配置的有效算法。

They are defined by sparse parity check matrices, with various construction methods.

LDPC码定义在稀疏校验矩阵上，有许多种构造方法。

The correlation projection analysis proposed in this paper, including Canonical Correlation Analysis, Generalized Canonical Correlation Analysis and Partial Least Squares Analysis, is a feature extraction method based on two groups of features or two data matrices.

本文提出的相关投影分析，包括典型相关分析、广义典型相关分析和偏最小二乘分析是建立在两组特征或两个数据矩阵上的特征抽取方法。

Moreover, relations between some matrix weighted partial orderings are investigated, and weighted partial orderings of matrices and orderings of their functions are also compared.

此外，我们还讨论了几种矩阵加权偏序之间的关系，并结合本文提出的矩阵函数研究了矩阵偏序与其函数偏序之间的关联。

Especially, combining with the weighted polar decomposition and simultaneous weighted polar decomposition of matrices given in this thesis, we derive two interesting characters of the new matrix partial ordering.

特别地，与本文提出的矩阵加权极分解和同时加权极分解相结合得到了两个有意义的结论。

Finally,a new partial ordering in the subset of universal nonnegative definite matrices is defined and.

最后讨论了泛非负定子集类上的一种新的矩阵偏序的性质与充要条件。

The value of information depends on its structure which is characterized by the joint probability matrix of information variable and state variable, we have defined some partial ordering over the matrices, our main results provide some sufficient conditions, which described by the partial ordering,for the value of information to increase.

信息结构由状态变量与信息变量联合概率矩阵来描述。我们定义了矩阵的一些偏序，通过这些偏序给出了信息价值的比较关系。

Part 4 (chapter5) The weighted-star partial ordering is defined, some characterizations are given using the weighted inverse, and the relation between the partial ordering with the existing partial ordering of the matrices are discussed.

4利用加权广义逆定义复数域上矩阵的加权*序，给出它们的若干性质和等价刻划，讨论它们与已有的矩阵偏序之间的关系，并推广关于矩阵*序的有关结果。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。