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The sufficient conditions to guarantee robust exponential stability for the closed-loop systems are obtained based on Linear Matrix Inequality, moreover, the approach of design of robust H# output feedback controller is introduced.3 The problem of reliable H# control for a class of Lur"e systems with polytopic uncertainties is studied when all control components are operational as well as when some control components experience failures, the design approach of reliable H# controller is also obtained.4 Considering a class of uncertain Lur"e singular system with time-delays, the problem of robust stability is investigated based on Barbalats Lemma and nonsingular linear transformation of model reduction.

针对一类不确定Lur'e奇异时滞系统,基于Barbalat引理以及非奇异降阶变换,讨论了Lur'e奇异时滞系统的鲁棒稳定问题,提出了鲁棒H_∞状态浙江大学博士学位论文反馈控制器的设计方法。5、针对一类具有饱和执行器的不确定Lur'e奇异系统,提出了时滞依赖的鲁棒稳定与鲁棒二次镇定的充分条件,所的结果不需要参数的整定。6、针对任意协方差有界的有色噪声,讨论了一类不确定Lur'e奇异系统的鲁棒凡滤波问题,得出了鲁棒几滤波器设计的充分条件。7、针对一类不确定Lur'e时滞系统,通过线性变换,把它转换成奇异系统,根据奇异系统鲁棒控制理论所得出的鲁棒稳定与鲁棒镇定控制器设计的充分条件具有很小的保守性。

When a basic kinematic chain reaches a singular configuration, the complex linkage is at a singular position.

即对组成复杂机构的数量有限的基本运动链进行奇异分析,推导出这些复杂基本运动链产生奇异位置构型的奇异性条件,然后将之看作是复杂机构和操作手奇异分析的基本模块;只要一个基本运动链达到奇异位置时,该复杂机构即处于奇异位置。

Based on this result,the intrinsic reasons that singular value vector-based recognition methods have the low recognition accauracy are follows: singular value vectors of arbitrary two face images have not the equivalent basis space in general;there is no one-to-one correspondence between singular value vector and face image;singular value vectors are not separated.

进一步研究发现,导致基于奇异值向量人脸识别算法识别率低的根本原因是:不同人脸图像对应的奇异值向量所在的基空间不一致、奇异值向量与人脸图像之间并不存在一一对应关系、奇异值向量具有不可分割性。

This chapter clarifies the nested relationship between the matrix family of unitary, orthogonal, Givens, Householder, permutation, and row or column symmetric matrices. A precise correspondence of the singular values and singular vectors between the unitary-symmetric matrix and its mother matrix is derived and proved (hence a fast algorithm of singular value decomposition for unitary-symmetric matrix is straightforwardly obtained), and the corresponding perturbation bound is provided.

该章揭示了酉对称矩阵、正交对称矩阵、 Givens 对称矩阵、 Householder 对称矩阵、置换对称矩阵和行对称矩阵之间的逐级包含关系;推导并证明了,酉对称矩阵的奇异值和奇异向量与母矩阵的奇异值和奇异向量之间的定量关系,据此可得酉对称矩阵奇异值分解的快速算法;给出并证明了摄动矩阵的摄动界。

They are waiting to take us into the severed garden Do you know how pale and wanton thrillful comes death on a strange hour unannounced, unplanned for like a scaring over-friendly guest you've brought to bed Death makes angels of us all and gives us wings where we had shoulders smooth as raven's claws No more money, no more fancy dress This other kingdom seems by far the best until it's other jaw reveals incest and loose obedience to a vegetable law.

高贵的婴儿,红宝石必须马上取代流产泥泞中的陌生人这些变种,为种下的植物所举办的鲜血之宴他们在等待,把我们带到恐怖的花园你是否知道,在一个奇异的时间到来的死亡有多麼苍白,荒唐和惊惧不曾宣布,未经计画就像你带到床上的可怕的,过分友好的宾客死亡使我们都成为天使使我们平滑的肩膀上生长出翅膀,如大乌鸦的脚爪没有了金钱,也没有了化妆舞会上的华服另一个王国是目前为止最好的直到下一个入口展现出乱伦以及对无聊法律的松散的服从我不会离去宁愿为庞大的家庭举办朋友的盛宴

The matrix =( xi, xjp having the e-th power of the greatest common P-divisorp of xi and xj as its-entry is called the e-th power GCD matrix on S. The matrix = having the e-th power of the least common P-multiple p of xi and xj as its-entry is called the e-th power LCM matrix on 5. We obtained the following results:(1) is nonsingular for any set S;(2) If S is an FC set, then the determined of has formula Det =Jpe(x1)...Jpe, where the function Jpe is the generalized Jordan totient function;(3) A formula of the inverse of is given when S is an FC set;(4) If S is an FC set, then |.

以_P的e次方为第i行j列元素的矩阵称为定义在S上的e次幂GCD矩阵,记为;以_P的e次方为第i行j列元素的矩阵称为S上的e次幂LCM矩阵,记为,我们得到了如下结果:①定义在集合S上的e次幂GCD矩阵是非奇异的;②若S是R上的FC集,则S上的e次幂GCD矩阵的行列式Det=J_p~e(x_1)J_P~e(x_2)…,J_p~e,其中J_p~e为R上的Jordan函数;③当S为FC集时,得到了的逆矩阵~-1的表达式;④证明了当S是FC集时,整除,即等于与R上另一个矩阵的乘积。

By analyzing the structure singularity and configuration singularity with the screw theory and the line geometry method, the fundamental conditions of generating the motion singularity are obtained.

本文采用螺旋理论和线几何方法对结构奇异以及配置奇异进行分析,从而得到运动奇异位形产生所满足的条件,并给出3-PRPS并联机器人奇异位形图解说明了该方法的可行性。

The maximum peak coordinates in curvature spectrum, which indicates the maximum turning point position of singular value, is used to determine the number of effective singular values.

进而提出了奇异值曲率谱的概念,利用它来描述含噪信号奇异值曲线上的转折点情况,并提出根据曲率谱最大峰值位置即奇异值最大转折点来确定有效奇异值个数。

The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen.

在重力波的传播过程中,氢氧大气成分的水平和垂直分布均受到了不同程度的影响,以氧原子的响应最为明显,而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现;另外,分析显示,重力波的非线性传播对OH气辉的峰值分布由明显影响,小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布,重力波的破碎现象也可以从对气辉的观测中反映应出来,这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

The breaking of gravity wave accelerates the downward transport of atomic oxygen, some smaller-scale structures appear on the horizontal distribution of atomic oxygen number density , and other chemical species are also affected due to the chemical reaction with atomic oxygen and the propagation of gravity wave. The OH airglow volume emission rate has an obvious response to the breaking gravity wave and atomic oxygen. The nonlinear propagation of smaller vertical wavelength gravity waves can induce the double-peaked structure in the OH airglow. The results can explanation some sporadic measurements of OH airglow and can provide a good indication for studying the characteristic of nonlinear gravity wave by using OH airglow measurement.

在重力波的传播过程中,氢氧大气成分的水平和垂直分布均受到了不同程度的影响,以氧原子的响应最为明显,而其中重力波破碎在氧原子水平分布上的反应则是非线性重力波过程的一个重要表现;另外,分析显示,重力波的非线性传播对OH气辉的峰值分布由明显影响,小尺度重力波的传播有时会引起OH气辉出现奇异的双峰分布,重力波的破碎现象也可以从对气辉的观测中反映应出来,这对利用气辉观测研究重力波传播特性有非常重要的指示意义。

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