matrix norm

Through matrix norm analysis the estimation ( expressed in terms of the disturbance range of the system parameters) of the disturbance range in the solution of the disturbed algebraic Riccati equation is established. This method appears quite convenient for the practical computational purposes.

通过矩阵范数分析建立了摄动的Riccati代数方程的解的摄动界估计（以系统参数摄动界表出），从而提供了一种方便的实用计算方法。

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In this paper, we introduce the definition of the matrix norm and its basic properties. And further more we get the concept of condition number and its basic properties.

本文介绍了矩阵范数的定义及其基本性质，进而引出了矩阵条件数的概念，得到了矩阵条件数的基本性质。

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As far as an uncertain singular system with time delay is concerned, this paper presents sufficient conditions independent of delay and decaying rate of its robust stability by using the matrix norm and measure.

本文利用矩阵范数和矩阵测度给出了一类具时滞不确定奇异系统与时滞无关的稳定性及具给定衰减速率稳定性的稳定性条件。

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By equivalent transformation, the interval system is transformed to an uncertain system with matrix norm bounds.

通过等价变换，将区间系统转换为对应的矩阵范数不确定系统，并据此导出区间系统的鲁棒滤波算法。

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Decentralized control of region for nonlinear composite systems with input saturation is studied by using Lyapunov's theory and matrix norm properties.

利用李雅普诺夫方法和矩阵范数性质研究了具有饱和输入的非线性组合系统区域分散控制问题。

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The Bounds of Matrix Norm of a Rectangular Matrix and p-condition Number of a Square Matrix

矩阵范数的界和方阵的p-条件数

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Tracking DOA of Multiple Targets Based on a Matrix Norm Minimization Technique

最小范数准则在多目标DOA跟踪中的应用

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In this paper, the problems of robust stability analysis for time-invariant and time-variant uncertain descriptor systems are discussed based on the matrix norm, matrix measure and Lyapunov approach, the sufficient conditions of impulse-free robustness and robustly admissible are derived, the numerical example is given.

本文通过矩阵测度、范数，以及Lyapunov方法研究了具有仿射型时不变和时变不确定广义系统的鲁棒稳定性问题，得到了不确定广义系统具有无脉冲鲁棒容许的充分条件，并给出数值算例。

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Using comparison theorem and some properties of the matrix norm and the matrix measure, the paper provides several stability conditions for single and symmetric composite uncertain delay systems.

利用比较定理、矩阵范数和矩阵测度的有关性质，提出了简单不确定时滞系统及对称组合不确定时滞系统的稳定条件。

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In a recent paper ( YANG Kai yang et al, Information and Control, Vol.30 no.5, pp: 474-476,2001), several stability conditions for single uncertain delay system were proposed by using comparision theorem and some properties of the matrix norm and matrix measure.

最近一篇论文（杨开阳，井元伟，信息与控制，Vo130，№5，pp：474-4762001）利用比较原理，矩阵范数和矩阵测度的有关性质，提出了简单不确定时滞系统的稳定条件。

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Four equations on matrix norm

关于矩阵范数的4个等式

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Some Matrix Norm Properties for s~ A

s~A的矩阵范数的一些性质

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According to the F norm's unitary invariant property of C mxn, the characteristic properties and deductions of the real symmetrical matrix and nonsingular matrix's F norm are achieved

由Cmxn中矩阵F范数的酉不变性质，给出了实对称矩阵与实非奇异矩阵F范数的特征性质及其推论

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Public Watermarking Using Matrix Norm

利用矩阵范数实现的公开水印技术

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Research on Semi-fragile Digital Watermarking Algorithm Based on Integer Wavelet Matrix Norm Quantization

基于整数小波矩阵范数量化半脆弱数字水印算法的研究

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The new updating method is to minimize the error matrix norm under the condition of a quadratic constraint under which the mode orthogonality should be satisfied and the mass and stiffness matrices should be fitted into the eigen equation.

该方法是在质量矩阵和刚度矩阵满足正交性条件和特征方程的约束下，使修正矩阵的范数最小，将模型修正问题转化为一个带二次约束的最小二乘问题。

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P. A. determining correlation dimension D2 from a single time sequence and by use of the concept of matrix norm, a method of computing correlation dimension D2 from multiple time sequences is presented in this paper.

在利用G.P.法由单一时间序列计算关联维D2的基础上，引入矩阵范数，提出了多时间序列数据联合计算关联维D2的算法。

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By the definition and properties of matrix norm, a corollary expressed by matrix norm is obtained.

又利用矩阵范数的定义及性质，得出了一个以范数形式表示的推论。

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A upper bound with consistent matrix norm and the estimate for error of AOR iterative method for solving linear equation system, which based on the doubly diagonal dominance, are presented.

在双严格占优矩阵条件下，给出了相容矩阵范数的一个上界，并以此为基础，得到了线性方程组求解时的AOR迭代法的误差估计式。

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This paper considers a class of uncertain generalized large-scale composite system and studies the decentralized stabilization problem for the system by employing Lyapunov method and using the matrix norm properties.

考虑了一类不确定广义组合大系统，利用Lyapunov稳定性理论和矩阵范数性质研究了该类系统的分散镇定问题。

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Scanning the Urgency of the Innovation of Math Education Through Matrix Norm Calculation by MATLAB

从MATLAB对矩阵范数的计算看数学教育改革的迫切性

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A Fast Algorithm of Computing H_ ∞ Norm of Transfer Function Matrix via Matrix Generalized Sign Function

一种计算传递矩阵H∞范数的快速方法&矩阵广义符号函数法

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Application of matrix norm on the error estimate of solution of matrix equation

矩阵范数的应用&矩阵方程解的误差估计

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A matrix norm analysis method of distinguishing control system's stability

控制系统稳定性判别的矩阵范数分析法

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This paper consists of three parts: In the first part, the explicit determinant formula with matrix norm elements of matrix Pad é-type approximation is presented by exploiting a linear mapping A.

第一部分通过引入一种新的线性映射A，建立了赋范型矩阵Padé-型逼近，给出了它的行列式公式。

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