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In the fifth part, the H〓 control problem for Lur'e systems with multiple nonlinearities is discussed. The existence is reduced to solvability of multiple linear matrix inequalities. And the design method is simple and feasible via iterative optimal algorithm based on the interior-point method of LMI.

第五部分:研究了具有多个非线性环节的Lur'e系统的H〓控制问题,给出了基于双线性代数矩阵不等式的可解条件,此结果可覆盖关于线性系统相应问题的结论,同时又避免了目前在非线性系统H〓控制的研究中出现的偏微分矩阵不等式难以求解的问题。

However, methods and references for difference equation are relatively less. The new method proposed in this paper transfer the complex boundary value problem into the existence and uniqueness of the solution of the linear equations. For linear case , we obtained the necessary and sufficient conditions for the existence and uniqueness of the solution for the BVP; For the nonlinear case ,we got a series of new sufficient conditions by using contraction mapping theory and cone theory .

而差分方程边值问题的研究方法和文献还很少,文中新的研究差分方程边值问题的方法是将复杂的边值问题求解转化为代数理论中的线性方程组解的存在和存在唯一问题;对线性情形,较容易地获得了边值问题的解存在以及唯一的充分必要条件,而对非线性情形,则通过压缩原理和锥理论等各种不动点定理,获得了一系列新的充分条件。

Firstly,we prove that the open mapping theorem to situations where spaces are normed and the graphs of convex maps are complete.

其次,我们还推广了在可度量化拓扑线性空间中,完备图的线性映射是开映射的结果。

About linear algebra and matrix of history, the understanding of linear algebra and matrix of people, there is a certain reference value.

讲述线性代数与矩阵的历史,对了解线性代数和矩阵的人来说,有一定的参考意义。

Can be used to inverse matrix, and Vector Group's nothing to do great group that Vector Group equivalent, of linear equations, and the judgement of the matrix equation Vector Group's linear, and so on.

可以用来求逆矩阵,求向量组的极大无关组,证明向量组等价,解线性方程组,解矩阵方程和判断向量组的线性相关性,等等。

Secondly,we present internal stability of feedback systems.The fundamental idea is to represent a linear system as the range of a 2×1 operator matrix with causal entries.

其次介绍了线性时不变系统中的内部稳定性理论,基本思想是将一个线性系统表示成一个2×1算子矩阵的值域,其中的矩阵元素是关联的。

We apply this general result to Vamos matroid and obtain a family of non-representable multipartite matroids.

我们将这一结论应用于Vamos拟阵,于是得到了一族不可表示的多部拟阵,同时我们利用向量的线性相关和线性无关性对Vamos拟阵的不可表示性给出了新的证明。

This is the core part of the whole paper.Based on maximum likelihood estimator of generalized linear model which was done before,we apply M-estimator to generalized linear model.

这一部分是本篇文章的核心部分,主要是根据现有文献中对广义线性模型中未知参数β的极大似然估计的方法,我们引入了广义线性模型的M-估计。

In operations research, a procedure for locating the maximum or minimum of a linear function of variables that are subject to linear constraints

在运筹学中,找出受线性约束的变量的线性函数的最大值或最小值的过程。

In operations research, a procedure for locating the maximum or minimum of a linear function of variables that are subject to linear constraints.

在运筹学中,找出受线性约束的变量的线性函数的最大值或最小值的过程。私立学校中)年幼的,小的

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