查询词典 rectangular matrix

Adopting generalized Jordan block and algebra equivalence transform method, all of the transfer functions at different load points can be transformed to state-space description with time variable. The steady robustness of three different mode of control systems were researched by mathematic analysis. It shows that: for the high order inertia controlled object with the characteristic of nonlinear and time-variable that described by the set of transfer functions, the Luenberger function observer established according to its any algebra equivalence state-space description, if some conditions can be met, there would be a matrix of T with n′n satisfied the Sylvester matrix equation TA- FT=GC.

采用广义约当块及代数等价变换方法，可将分段的传递函数描述转换为变参数的状态空间描述，对3种典型控制系统的稳定鲁棒性所进行的理论研究表明，对同一组传递函数描述的具有非线性和时变特性的高阶惯性受控对象，依据其任一代数等价的状态空间描述所构建的Luenberger函数观测器，在满足一定的条件时，存在n′n解阵T满足Sylvester矩阵方程TA- FT=GC。

Using the Jordan matrix block, we can solve the matrix M and the corresponding operator B .

用这些约当矩阵块可求得矩阵M，及相应的算子？

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan's normal form, and based on this property,the reducing matrix was taken as the transformation one. Thus all eigenvalues and eigenvectors of the system can be obtained.

利用具有完全特征向量系的矩阵在约化若当标准型过程中可正交相似对角矩阵的特性，将变换矩阵取为约化若当标准型过程中的分解矩阵，从而求出所求系统的特征问题的全部特征值和相应的特征向量。

A matrix which has a set of complete eigenvector system can be similar orthogonally to a diagonal one through reduce it to Jordan＇s normal form, and based on this property, the reducing matrix was taken as the transformation one.

针对非经典阻尼振动线性系统，为消除非经典阻尼项给求解带来的困难，通过引入矩阵函数变换消除了原系统的阻尼条件项，将非经典阻尼振动微分方程转化为拟时不变经典阻尼方程。

Kronecker product ; Generalized inverses of a matrix ; Matrix equation

Kronecker积；矩阵的广义逆；矩阵方程

Results reveal that the spatial correlation properties of MIMO channel are dependent on the PAS, the antenna pattern and the geometric configuration of the array. When the PASs at the base station and the mobile station are independent, the spatial correlation matrix of the MIMO channel is the Kronecker product of the spatial correlation matrix at the BS and the MS. The temporal correlation properties of the MIMO channel are determined by the PAS at the MS, antenna pattern and the traveling speed of the MS. Based on the analysis of the physical essence, the temporal correlation properties are equivalent to the spatial correlation properties at the MS. The joint spatio-temporal correlation properties at the BS and the MS are quite different. When the PASs at the BS and the MS are independent, the spatial correlation at the BS is independent on the temporal correlation, but this is not true for the spatial correlation at the MS.

分析与计算的结果表明，MIMO信道的空间相关特性由角度谱、阵元的方向图、阵元间距以及阵列几何结构决定，并且当发射端与接收端的空间统计特性相互独立时，MIMO信道的空间相关矩阵可以表示为发射阵列空间相关矩阵与接收阵列空间相关矩阵的Kronecker乘积：信道的时间相关仅与MS端的角度谱、阵元方向图以及MS的运动速度有关，通过对信道时间相关的物理本质的研究，说明了时间相关与MS端空间相关的等价性；MIMO信道的空-时联合相关特性在BS端和MS端具有不同的特点，当发射端与接收端的空间统计特性相互独立时，BS端的空间相关与时间相关是独立的，而由于信道的时间相关与MS端的空间相关具有相同的物理本质，MS端的空间相关与时间相关不是独立的。

Moreover, it is closely related to the crystal structures of reinforcement and matrix alloy. The formation of above crystallographic relationships is valuable to decrease the energy of lattice strain between reinforcement and matrix alloy.

与增强体的晶体结构及基体合金的晶体结构密切相关，形成该位相关系有利于降低增强体与基体合金界面的晶格畸变能。

Thenwe stressed the interval question of the previous research and extended theresearch of fuzzy matrix to the research of lattice matrix.

然后针对中外学者研究成果中区间问题，把模糊矩阵幂序列的研究推广到格矩阵上。

The results presented could be regarded as the development of the previ-ous research on fuzzy matrix.And the convergence problem is basically resolvedfor lattice matrix applying to the fields of nerve network.

本文建立的有关结果可以视为对以往关于模糊矩阵幂序列的收敛性的研究成果的发展，为格矩阵应用于神经网络等领域解决了收敛性问题。

The formation of martensite is accomplished by the immigration of well-defined glissile interface (121)fcc type and its misfit dislocations can produce the lattice invariant deformation on the basis of phenomenal theory of martensitic crystallography, however, LID is retarded slightly after the migration of interphase (121)fcc, i.e.a thin plate-like zone exists without LID in martensite near the well-defined interface. When the temperature reduces to the Ms point, the lattice parameter of austenite matrix is √3/2 times that of the martensite without LID. This critical condition for spontaneous transformation agrees with that the stack fault energy in matrix is less than zero according to Olson and Cohen's nucleation model.

通过模型分析表明：fcc/bcc马氏体形核与长大过程是通过(121)fcc型择优界面推移进行的，界面上的错配位错可以完成马氏体晶体学唯象理论要求的点阵不变变形，但LID要稍滞后于界面迁移，即在马氏体形核与长大过程中推移界面新相一侧存在一未发生LID的新相薄区；当相变温度达到马氏体相变点Ms时，母相奥氏体与这一薄区的晶格常数比为√3/2，这一几何条件和Olson-Cohen形核模型中要求扩展位错层错区界面能γ≤0是等价的。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。