多项式矩阵

满秩仿Hermite多项式矩阵的J-谱分解计算

The calculation of j_ - spectrum factorization for the full rank para Hermite polynomial matrix

本文利用线性系统的模论，给出了在多项式矩阵所描述下的线性系统的Kalman标准结构形式。

Using module theory of linear systems , Kalman 's standard forms for linear systems in polynomial matrix description have been given in this paper .

矩阵的广义Schwarz形和多项式矩阵的稳定性

The generalized Schwarz form of matrix and the stability of matrix polynomials

该方案利用对称多项式矩阵的LU分解特性，保证任意一对节点间都有共享多项式，同时实现了节点到节点的多重认证。

This scheme makes use of LU symmetrical polynomial matrix to guarantee that there is at least one shared polynomial between any pair of nodes .

多项式矩阵Drazin逆的两个算法

Two Algorithms of Drazin Inverse of a Polynomial Matrix

通信系统稳定性的n-D多项式矩阵互质性判定方法

A Coprime Criterion of n-D Polynomial Matrix in Communication Stability

基于仿等价变换实现了满秩仿Hermite多项式矩阵的J-谱分解计算。

Using the para equivalent transform , we propose a method for calculating the J spectrum factorization for the full rank para Hermite polynomial matrix .

本文给出了一个构造ISP（InternallySkewPrime）多项式矩阵的新算法，例子说明了算法的应用。

A new algorithm is presented for constructing an internally skew prime pair of polynomial matrices from a given pair of polynomial matrices and its effectiveness is illustrated by an example .

应注意在构造ARMA新息模型时，必须进行多项式矩阵的左素分解，才能得到正确的ARMA新息模型。

Notice that constructing the ARMA innovation model , a left co-prime factorization to a polynomial matrix must be performed , so that the ARMA innovation model can correctly be obtained .

先将模型转化为模上线性递归序列的研究，并通过矩阵表示理论，进一步转化为上F2上2阶多项式矩阵性质的研究。最后讨论了这种新型线性递归序列的非奇异性。

With the aid of matrix representation , we turn it into further study on properties of polynomial matrix of rank 2 over F_2 . Nonsingularity of this new linear recurring sequence is discussed in the end .

对于一个满秩的仿Hermite多项式矩阵，首先用仿等价变换将其变换为单模的满秩仿Hermite多项式矩阵，进一步再用仿等价变换将其变换为常数满秩矩阵，最后变换为J-矩阵。

For a full rank para Hermite polynomial matrix , we transform it into a uni module full rank para Hermite polynomial matrix by para equivalent transform at first , then into a full rank constant symmetric matrix , and into a J - matrix at last .

对带相关噪声的线性离散随机控制系统，应用Kalman滤波方法，基于CARMA新息模型导出了统一的最优固定区间白噪声递推Wiener平滑器，它带有系数阵指数衰减到零的高阶多项式矩阵。

For the discrete stochastic control systems with correlated noises , using the Kalman filtering method , based on the CARMA innovation model , a unified optimal fixed-interval white noise recursive Wiener smoother is derived . It contains high degree polynomial matrices with coefficient matrices exponentially decaying to zero .

讨论了两个多项式矩阵右互质时其广义Sylvester矩阵的性质，指出了广义Sylvester矩阵与R-循环分块矩阵的联系，得到了R-循环分块矩阵可逆时的充要条件。

The properties of the generalized sylvester matrix are discussed when two polynomial matrices are right coprime . The relations between an R-block circulant matrix and a suitable generalized Sylvester matrix are presented . The necessary and sufficient condition for R-block circulant matrix invertible is obtained .

由此出发，证明了只要得到多项式矩阵[C'（zI-A）']'的左零空间的基，则可得到所有的误差检验式；

Then it is proved that all parity checks can be generated from the basis of the left null space of the polynomial matrix [ C ' ( zI-A ) ' ] .

互素多项式矩阵的秩的一个简单结论及其应用

A Conclusion and Application of the Ranks of Coprime Polynomial Matrices

多项式矩阵理论在网络分析中的应用

Application of Polynomical Matrix Theory to Analysis of Linear Time-Invariant Active Networks

关于结构算法的多项式矩阵运算

The Algorithm for Polynomial Matrices Based on the Constructive Algorithm

多项式矩阵变换成典范型的一种算法

Algorithm for Transformation of A Polynomial Matrix to Canonical form

多项式矩阵求逆的连分式插值方法

Matrix Continued Fraction Interpolation Solving Inverse for Polynomial Matrix

区间多项式矩阵族的鲁棒稳定性及稳定域计算

Robust stability and stability domains for interval polynomial matrices

多变量多项式矩阵素分解的结果和问题

Results and problems for prime factorizations multivariate polynomial matrices

有理严格正实矩阵与多项式矩阵的稳定性

The rational strictly positive real matrices and the stability of the polynomial matrices

一类多项式矩阵方程的结式解法

Resolution of a kind of polynomial matrix equation

多项式矩阵代数性质讨论

The Discussion on Algebraic Properties of Polynomial Matrices

多项式矩阵根及其应用研究

Study about Polynomial Matrix Roots and its Application

多项式矩阵互质的结式定理

Resultant theorem of relative prime of polynomial matrices

仿射多项式矩阵的鲁棒D稳定性分析

Robust D-Stability Analysis for Affine Polynomial Matrices

多项式矩阵根的再研讨

Further Discussions on Roots for Polynomial Matrix

二自由度控制系统的多项式矩阵描述与完全表征

The Polynomial Matrix Description and Complete Characterization for Two - Degree - of - Freedom Control Systems

分别引入了解决这一问题的状态空间方法和多项式矩阵插值方法。

Both the state space method and the polynomial matrix interpolation method are introduced to solve the problem .