一类矩阵反问题的扰动分析

考虑一类矩阵反问题minA∈1A‖A-(A)‖F,其中lA={A∈(X)n×m|‖AX-B‖F＝min},(A)∈(X)n×m,x∈m×p,B∈(X) n×p是给定的矩阵,讨论了当A,X,B有扰动时问题解的稳定性,作出了问题解的扰动分析,对相容和不相容两种情况给出了解的扰动上界.所获得的扰动上界是相对于扰动解到无扰动流形的距离.     

地月空间NRHO与DRO在月球探测中的应用研究

针对地月系统三体问题低能往返轨道转移在月球探测中的应用研究，结合天体借力飞行技术与混合优化技术，系统分析了不同目标轨道与借力方位对任务飞行时间与燃料消耗等关键参数的影响，给出了往返轨道设计初值的选择策略。针对轨道设计初值猜想问题，首先采用遗传算法与二体Lambert转移快速确定轨迹拼接点初值。在同时考虑近月点与近地点多约束条件下，基于序列二次规划算法与多重打靶法进一步对燃料最优的地月往返轨道进行研究，并推导了约束方程解析梯度提高设计效率。最后分析近月点高度、不同目标轨道的转移时间与燃耗变化特性，对于考虑月球借力的地月空间轨道往返转移设计及参数选取具有重要的参考价值。     

全变差正则化方法对一类热传导反问题的应用

热传导终端反问题是典型的不适定问题,应用基于全变差的正则化方法来获得它的稳定数值解,将近似解的求解范围由连续函数空间扩大到了有界变差函数空间,并将固定点迭代法用于求解非线性的Euler方程,并进行了理论分析和数值实验。结果表明:该方法与算法具有高效稳定全局收敛等优点。     

大学生马克思主义信仰教育：问题与对策

本文在调查研究的基础上对大学生的马克思主义信仰状况进行了分析，找出了理性信仰感性化、信仰分布多元化、入党动机功利化、理论教育不得力等问题。问题的原因有理论教育队伍的素质与教育目标的要求不相适应，教育的方式方法与目标要求不相适应，应试教育的弊端、就业的压力与迷茫、多元信息的吸引与诱惑，马克思主义在大学生信仰中的地位悄然变化等。相应的思路与对策有切实加强师资队伍建设，切实把信仰教育纳入社会系统工程，切实加强党风廉政建设、消除腐败现象对信仰教育的负面影响，切实提高大学生信仰选择能力。     

Classification of hyperspectral remote-sensing data with primal SVM for small-sized training dataset problem

With recent technological advances in remote sensing, very high-dimensional (hyperspectral) data are available for a better discrimination among different complex land-cover classes having similar spectral signatures. However, this large number of bands makes very complex the task of automatic data analysis. In the real application, it is difficult and expensive for the expert to acquire enough training samples to learn a classifier. This results in a classification problem with small-size training sample set. Recently, a regularization-based algorithm is usually proposed to handle such problem, such as Support Vector Machine (SVM), which usually are implemented in the dual form with Lagrange theory. However, it can be solved directly in primal formulation. In this paper, we introduces an alternative implementation technique for SVM to address the classification problem with small-size training sample set. It has been empirically proven that the effectiveness of the introduced implementation technique which has been evaluated by benchmark datasets.     

行为艺术中的若干著作权问题研究

行为艺术展示本身不是我国著作权法规定的一种独立的作品，但是当行为艺术展示被摄影、摄像等方式固定下来后，其就是一种思想构想的表达形式，构成著作权法中的作品，根据其固定下来后的形式，受著作权法保护。     

Optimal station-keeping near Earth–Moon collinear libration points using continuous and impulsive maneuvers

In this study the gravitational perturbations of the Sun and other planets are modeled on the dynamics near the Earth–Moon Lagrange points and optimal continuous and discrete station-keeping maneuvers are found to maintain spacecraft about these points. The most critical perturbation effect near the L₁ and L₂ Lagrange points of the Earth–Moon is the ellipticity of the Moon’s orbit and the Sun’s gravity, respectively. These perturbations deviate the spacecraft from its nominal orbit and have been modeled through a restricted five-body problem (R5BP) formulation compatible with circular restricted three-body problem (CR3BP). The continuous control or impulsive maneuvers can compensate the deviation and keep the spacecraft on the closed orbit about the Lagrange point. The continuous control has been computed using linear quadratic regulator (LQR) and is compared with nonlinear programming (NP). The multiple shooting (MS) has been used for the computation of impulsive maneuvers to keep the trajectory closed and subsequently an optimized MS (OMS) method and multiple impulses optimization (MIO) method have been introduced, which minimize the summation of multiple impulses. In these two methods the spacecraft is allowed to deviate from the nominal orbit; however, the spacecraft trajectory should close itself. In this manner, some closed or nearly closed trajectories around the Earth–Moon Lagrange points are found that need almost zero station-keeping maneuver.     

适用于纯物质流体工质S2流面半反命题和A型杂交命题的变分原理族

文献[2]建立了轴流式叶轮机S_2流面半反命题、A型杂交命题的变分原理族。文献[1]在此基础上提出混流式叶轮机S_2流面半反命题和A型杂交命题的变分原理族,避免混流式中可能出现解的不确定性及分区处理的麻烦。但这些文章中所提出的变分原理均只适用于完全气体工质,使这些变分原理的应用受到一定的限制。例如对水蒸汽及氟里昂等工质,在某些极限工况下,如果再以完全气体的模型求解,会与实际情况相差较大。本文提出可将以上各变分原理推广至纯物质流体工质,从而使这些变分原理具有较强的适应性。     

动力学反演的迭代过程及应用

把结构动力学反演归结为一类广义特征值反问题 ,提出了一种迭代算法 ,并讨论了解的存在条件。大量数值实验结果表明 ,本文迭代过程收敛性好。结合某型直升机旋翼桨叶的动力学设计 ,文中给出了工程应用的数值例子 ,结果令人满意。