augmented matrix

Application of Augmented Matrix Method in Design of Nonlinear Control System

增广矩阵法在非线性控制系统设计中的应用

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Based on the basis of null space and M-P inverse theorem, a unified incremental solution formulae, expressed as the null space basis of the augmented matrix, were firstly formulated herein for the incremental equilibrium equation at the limit point and non-critical points.

根据零空间基和M-P广义逆理论，推导了结构非线性增量平衡方程极值点与非临界点解的统一形式，并直接表示为增广矩阵零空间基的形式。

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This paper presents a method of information hiding based on the digital-position information, bringing forward an augmented identity matrix and a definite arithmetic upon it.

描述了一种基于数字位置信息的信息隐藏方法，给出了一个单位增广矩阵，并在此基础上给出了具体算法。

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It shows that the presented method can be used to identify modal parameters effectively under ambient excitation and that the polynomial eigenvalue method is superior to the augmented matrix method.

结果表明，多参考点互相关差分模型能够有效地进行环境激励下的模态识别，并且多项式特征值法比增广矩阵法所得结果更好。

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An improving method of the augmented matrix and Realization of program

增广矩阵法的改进算法及程序实现

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In this paper, a modified augmented matrix algorithm is put forward and a general model of the digital simulation based on the augmented matrix algorithm is presented.

本文给出了增广矩阵法的改进算法，由此建立了基于增广矩阵法的一般仿真模型。

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Precise time-integration method with augmented matrix for analysis of non-stationary random responses

结构非平稳随机响应的增维精细时程积分

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It is shown that the augmented covariance matrix ( ACM) of MR MIMO radars has no guarantee of non-negative definition, which may fail Capon estimation methods.

研究表明，最小冗余MIMO雷达的增广协方差矩阵无法保证具有非负定特性，而增广协方差矩阵的负定特性会使Capon谱估计方法失效。

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The program adopted the improved augmented matrix method. Based on example verification and practical application and through statistics it demonstrated that the improved augmented matrix method is 4 to 10 times faster than the fourth order Runge-Kutta method with accuracy ensured and fine stability resulted.

它采用了改进增广矩阵算法，经考题验证和实际应用证明，在保证精度的前提下，改进增广矩阵法比四阶Runge-Kutta法提高运算速度4～10倍，且精度高、稳定性好。

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This paper presents directly the general solution to sets of linear equations by properly bordering on augmented matrix and elementary transformation, and produeces some theoretical proving.

通过对增广矩阵适当“加边”，利用矩阵的初等行变换，直接求出线性方程组的通解形式，并在理论上给予了论证。

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A General Form of the Augmented Matrix Method for System Simulation

系统仿真增广矩阵法中求取增广矩阵的新方法

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It is shown that the augmented matrix of misaligned complex optical systems can be represented by an ordered product of basic matrices.

研究表明，失调光学系统的增广矩阵可用三个基本矩阵的有序乘积表示。

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In order to give the neural network description of resource leveling problem and make the output correspondent with neurons, the new concept of Augmented permute matrix is proposed.

首先提出增广置位矩阵，描述了资源均衡的神经网络表示，使得神经元的输出和问题的解彼此对应起来；

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The nodal potential equation deduced from the generalized circuit may be expressed as follows: The augmented matrix of node potential equation of a generalized circuit is equal to the sum of all the part-matrixes of the circuit elements.

从广义电路上导出的节点电位方程可表述为：广义电路上节点电位方程的增广矩阵等于各单元电路的分矩阵之和；

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The old methods about solving a system of linear equations all base on using the row's elementary operation to matrix of coefficients or augmented matrix.

现有的关于线性方程组的解法，都是基于对系数阵或增广阵施行初等“行”变换。

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Calculating the bases of some spanning subspaces in f~ n by column augmented matrix

用贴边矩阵求F~n中生成子空间的基

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A poly reference difference model with a cross correlation function is derived from the classical difference model in this paper. The augmented matrix method and polynomial eigenvalue method are used to get modal parameters respectively.

针对这一实际情况，首先从经典差分模型入手，推导出了环境激励下的多参考点互相关差分模型，然后分别采用增广矩阵法和多项式特征值法求解模态参数。

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Using of the augmented matrix transformation the fault detection filter model with the long time-delay to the same as the one the short time-delay. The solvable condition of the H ∞ filtering optimization problem and further the solutions are derived by linear matrix inequalities.

利用增广矩阵把长延时的故障检测滤波器模型转换与短延时的故障检测一样的数值结构形式，利用线性矩阵不等式方法，给出H∞滤波器的最优解的存在和求解方法，实现对故障的检测。

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The aberrations were treated collectively by examining the pseudospectra of an augmented matrix constructed from the aberration matrices.

测量像差矩阵构造的增广矩阵的伪谱，就可全面地分析像差。

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It is clear in concept and easy to use, and reveals a general form of the augmented matrix method, conducing to its wider application.

该方法概念清晰，简便实用，揭示了增广矩阵法的一般形式，有助于增广矩阵法的广泛应用。

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When the formulation is done by hand calculation, only searching andinspecting the augmented incidence matrix are required;

在用手算分析时，它只需对网络的增广关联矩阵作搜索和观察；

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Propagation properties of high-order Bessel-Gaussian beam through a misaligned first-order ABCD system have been studied by using the generalized Huygens-Fresnel diffraction integral, augmented matrix.

使用广义惠更斯-菲涅耳衍射积分和增广矩阵，研究了Bessel-Gaussian光束通过失调一阶ABCD系统的传输特性。

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Vertical Random Response Analysis of Locomotives Based on Augmented Matrix

基于增广矩阵的机车垂向随机响应分析

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Prediction to the regression parameters was converted to predict cross product matrix of the variable augmented matrix.

对多元线性回归模型参数的预测，转化为对其变量集合的增广矩阵的叉积阵的预测。

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In this paper, a new method for finding the augmented matrix is presented.

本文给出了求取增广矩阵的一个新方法。

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The numerical approach principle is used for the simulation of linear time-invariant systems and another kind of algorithm for the transition matrix method is presented by using the results of the augmented matrix algorithm.

本文利用增广矩阵法的一些结果，将数值逼近原理运用于线性定常系统的数字仿真中，给出了转移矩阵法的另一类算法。

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Through appropriate transformation of coordinates, that is, transformation of columns on the matrix of coefficients, and interchanges of rows on the augmented matrix ( equivalent to change the order of hyperplanes), we get a special canonical form.

通过适当的坐标变换，即对其系数矩阵做列变换，对其增广矩阵做行互换（相当于改变超平面的次序），得到特殊的相抵标准形。

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Topological extension and augmented matrix based method for solution of complicated distribution load flow

基于拓扑扩展和矩阵增广的复杂配电网络三相不对称系统快速潮流算法

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An augmented matrix for relatively misaligned optical systems

有相对失调光学系统的增广矩阵

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By using the augmented state matrix of the linearized power system model and performing the corresponding sparsity-oriented calculation, the correction equation is solved exactly, and the speed of convergence for the selected Ritz values is asymptotically quadratic.

算法中使用了电力系统线性化模型中的增广状态矩阵进行相应面向稀疏的计算，可准确求解修正方程，以保证算法具有渐进二次收敛速度。

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