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Ii The problems of optimal control of piecewise linear affine descriptor systems are studied by using some elementary matrix transformations and line matrix inequalities.

二、运用初等矩阵变换和线性矩阵不等式,初步研究了分段线性仿射广义系统的二次最优控制问题,得到了系统二次最优控制的上界、下界,估计成立的条件。

Chapter 2 and Chapter 3 of this dissertation,we discussoptimal boundary control problems for a semilinear elliptic type equation with linearboundary condition and nonlinear boundary condition,respectively.

全文共分为三部分内容:在第一部分即本文的第二章和第三章中,我们分别讨论了带有线性边界条件以及非线性边界条件的半线性椭圆型方程的最优边界控制问题。

A class of elliptic problems in Orlicz-Sobolev space with Neumann boundary conditions are studied. The sublinear case and the superlinear case are discussed, and using the classical critical point theory with the Cerami compactness condition two existence theorems are given.

研究一类在Orlicz-Sobolev空间上具有Neumann边界条件的椭圆问题,分别讨论了次线性和超线性情形,利用满足Cerami紧性条件的经典临界点理论给出两个解的存在性定理。

Keywords: Linear time-delay systems; Uncertainty; Decoupling control; Energetic decoupling; Linear matrix inequality

中文关键词:线性时滞系统;不确定性;解耦控制;能量解耦;线性矩阵不等式

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合,将其推广到线性等式约束最优化问题,提出了线性等式约束最优化问题的一类投影下降算法,并提出了基于这类算法的混合算法,在Wolfe线搜索下证明了这两类算法的收敛性,并通过数值试验验证了算法的有效性。

In 1960's, the famous statist,named Moore, proved the asymptotic normality of one kind of linear order statistic. While Hajek gained the equational condition of the asymptotic normality of rank statistic.

早在二十世纪六十年代,Moore构造了一种较为一般的线性次序统计量,并证明了它的渐近正态性,而Hajek也得出了著名的Hajek基本定理,找出了线性秩统计量渐近性的一个充要条件。

In this paper we study the translation equivalence class es of linear recurring m -arrys, and give respectively the enumeration of m -arrays with fixed period vectors and with a fixed linear complexity.

本文研究线性递归m—阵列的平移等价类,分别出了具有相同周期和相同线性复杂度的m—阵列的平移等价类的计

At high-frequency voltage, a transformer winding is equivalent to a linear, bilateral passive network which consists of linear resistance, capacitance and inductance. The equivalent model of a transformer winding in different frequency bands can be known by studying the bilateral network.

变压器绕组在较高频率的电压作用下,每个绕组本身均可视为一个由线性电阻、电容、电感等分布参数构成的无源线性双口网络,通过对该双口网络的研究可以得到变压器绕组在各个频段的等效模型。

As to the linear minimax estimators of estimable function in the linear model, Xu Xingzhong and Yu Shenghua have done some improved research.

对于线性模型可估函数的线性Minimax估计问题,徐兴忠、喻胜华等已作出了比较完善的研究。

Chapter Four deals with the linear admissible minimax estimators of linear estimable function of parameter matrix in the given linear estimator for a general growth curve model.

第四章讨论了一般增长曲线模型参数阵的线性可估函数在给定的线性估计类中的容许Minimax估计,并给出了具体的表达式。

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