矩阵函数

By structuring a Lyapunov function, and using matrix norm , the stability of the time-delay uncertain systems is analysed with the result of some significant sufficientconditions.

通过构造适当的Lyspunov函数和利用矩阵范数，对时滞扰动多变量系统的鲁棒稳定性进行了较为详细的分析，得出了几个较有意义的充分条件

Some methods for dealing with the stability problem has presented and these methods include: Lyapunov function, differential inequality, matrix norm and measure, Razumikhin theorem method etc. The results of stability for these systems are derived by using these methods. This paper may be summarized as follows.

本文考察了区间Lurie型控制系统与不确定时滞系统的稳定性问题，给出了判定系统稳定的一些处理方法，这些方法包括：Lyapunov函数法、微分不等式法、矩阵范数与测度法、Razumikhin定理等方法，并且应用这些方法得到了系统稳定的判别条件。

In Chapter 5, some knowledge about large-scale system and methods for investigating them are introduced, Lyapunov function, differential inequality, Razumikhin theorem, matrix norm and measure methods have been used to discuss the stability of uncertain large-scale system with delays and decay estimates for uncertain time-varying large-scale system with delays, the criteria of stability and decay estimates for uncertain large-scale system with delays are given.

第五章首先介绍了大系统的有关知识以及时滞大系统研究的方法，然后利用Lyapunov函数法、微分不等式法、Razumikhin定理法、矩阵范数与测度法研究了不确定定常时滞大系统的稳定性以及不确定时变时滞大系统的稳定性与系统衰减率的估计问题，得到了系统稳定的判别条件以及系统衰减率的估计。

This approach was based on the NonSubsampled Contourlet Transform. The means and variables of NSCT coefficients matrix in different subbands and various directions were extracted to form the feature vectors which were regarded as indexes of texture images in image database. Two similarity functions were used to compute the similarity between images. A texture retrieval system based on query image was developed.

该方法利用非下采样Contourlet变换对图像进行分解，提取不同子带和不同方向变换系数矩阵的均值和方差为特征向量，作为数据库中纹理图像的索引，并利用两种不同的相似度函数计算图像之间的相似度，建立了一套基于示例查询图像的纹理图像检索系统。

To extract the parameters in partial coefficients matrix of potential efficiently in silicon substrate integrated circuits, an approximated closed-form three-dimensional multilayered Green's function is derived with a modified complex fitting the exponential function method in spectral domain.

为了有效地提取硅衬底集成电路中导体单元之间的电位系数矩阵，在谱域中采用了改进的复数拟合指数函数方法，导出了三维有耗多层介质中的近似闭式格林函数。

The analyzed results of the grain orientations may be directly expressed in a unit stereograph triangle and also easily determined on the transformation matrix of the grain boundaries, because the shapes of etch-pits are described by a continuous function of azimuth angle.

因为蚀坑形状是以方位角的连续函数来描述，故晶粒位向的分析结果可直接表示在单位赤面投影三角形中，且易于确定晶界的变换矩阵。

According to the common faults in the course of the operation of MOA and the fuzzy relationship between the faults and the fault symptoms, the faults set, fault symptoms set,membership function,fuzzy diagnosis matrix,fuzzy operator and diagnosis rules are determined.

根据MOA运行过程中的常见故障及故障与征兆之间的模糊关系，确立了MOA的故障集、征兆集、隶属函数、模糊诊断矩阵、模糊算法和故障诊断原则。

Involves the membership function specifically, the operations research, and so on linear algebra, as well as mathematical model of analytic hierarchy process, matrix representation and so on.

具体涉及隶属函数，运筹学，线性代数等数学知识，以及层次分析法，矩阵计算等数学模型。

A method for extracting the beta-function and phase of the beam position monitors and the corrector magnets from the measured response matrix based on storage ring theoretical model is presented.

根据电子储存环理论模型，采用迭代方法从实测响应矩阵计算束流横向振荡的振幅函数和相位。

So it produces a series of approximation matrix Bk+1 to the second order derivatives of the objective function.

因此它产生了一系列对目标函数二阶导数的近似矩阵Bk+1。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。