this paper deals with the linear systems with parametric faults. a control strategy based on the linear quadratic form is proposed.

研究了含有参数故障的线性系统，提出了一种基于线性二次型的控制策略。

the theory of quadratic form is of very extensive application.

二次型理论有着十分广泛的应用。

then, by introducing a corresponding krein space stochastic system and applying projection and innovation analysis, the minimum of indefinite quadratic form and its existence condition are derived.

引入相应的格林空间随机系统，应用格林空间投影理论和新息分析方法，得到了不定二次型的最小值及其存在条件。

this paper uses the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.

本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。

an inequality of quadratic form of the three variables referring to the three triangle;

给出两个新的三角不等式，并将其应用于讨论角成等比的三角形形状。

the paper gives a number of methods for differentiating half positive definite quadratic form and some relevant properties in respect to half positive definite corresponding coefficient matrix.

本文给出的半正定二次型的若干判别方法及半正定对应系数矩阵的一些相关性质。

by introducing theories of matrix, this paper presents a calculation method for the rank of the quadratic form in quadratic sum resolution.

引用矩阵的有关理论，给出了平方和分解式中二次型秩数的计算方法。

method of completing square is often used when transforming a quadratic form into a normal one, whose process is equivalent to making the relevant matrix contract diagonal.

二次型化标準形常采用配方法，而二次型化标準形等价于它的矩阵合同对角化，文中利用初等矩阵和初等变换之间的关系。

in this paper, the author proves that there exists nondecomposable quaternionic integral quadratic form of no less than 7 variables.

该文证明，变量不少于7个时存在不可分解的四元数整二次型。

in order to resolve the shortage, the thesis chooses the linear quadratic form optimal controller design scheme by applying linear state feedback control of the modern optimal control theory.

针对这种不足，选择现代控制理论中的线性状态反馈控制方法，采用了线性二次型最优控制器设计方案。

in this paper, the main work is about the binary quadratic form of nurbs .

本文的主要工作就是围绕二元二次nurbs 曲面展开的。

through the quadratic form theory, another solution to the extremum problem of function of several variables is given.

利用二次型的理论，给出解决多元函数极值问题的另一种方法。

the author introduce the method of applying positive semi-definite quadratic form to prove inequality by giving several examples.

通过给出几个实例，介绍了利用二次型的半正定性证明不等式的方法。

the admissibility of non-homogeneous quadratic form estimate of variance on the growth curve model was studied under quadratic loss function.

在二次损失函数下，研究了增长曲线模型误差方差的非齐次二次型估计的可容许性问题。

as a result, the quadratic form will contain zero - polynomial so that some contradictions in theory on quadratic form caused by excluding zero-polynomial from quadratic form is eliminated.

这样二次型就包含了零多项式，从而解决了把零多项式排除在二次型外带来的二次型理论中的某些矛盾现象。

by means of congruent transformation in matrix, the method of transforming real quadratic form into standard form and the method of normal orthogonal basis are given in this paper.

借助矩阵的合同变换法，给出了化实二次型为标準形的方法、求标準正交基的方法，并给出了正定二次型判定定理的新证明。

the paper proposes a new concept; input pattern error. on the basis of this concept, precise tracking can be realized after the correction design of optimal control of linear quadratic form is made.

提出了输入方式误差的新概念。以它为基础，对线性二次型最优控制问题进行修正设计后，可实现精密跟蹤。

on the basis of this concept, precise tracking can be realized after the correction design of optimal control of linear quadratic form is made.

以它为基础，对线性二次型最优控制问题进行修正设计后，可实现精密跟蹤。

the vector approximation file approach overcomes some of the difficulties of dimensionality curse, but it cant support the quadratic form metric.

为解决传统索引方法对高维数据索引时存在的维数灾难问题，提出一种多分辨率向量近似方法。

by use of the real quadratic form theory, the general method of factoring real quadratic polynomials is given.

在深入分析参数多项式方法数学原理的基础上 ，提出了参数分布形状特征式法。

firstly, some new conceptions such as component function matrix and generalized quadratic form function are presented.

提出了分量函数矩阵和广义二次型函数等新的概念，讨论了广义二次型函数定号性的判定方法。