地月系低能转移轨道设计

分析了不同转移轨道间的性能指标,以黄道面与白道面交线作为庞加莱截面实现不同系统轨道的拼接,利用其中耗能最小的日地系稳定流形和地月系的不稳定流形设计了一条低能耗转移轨道.最后对不同轨 道进行了能量分析和对比,优化了国内提出的低能探月轨道.仿真结果表明,文中方法比直接通过霍曼转移节约21.1%的能量,对探月工程的轨道设计具...     

输出跟踪问题中内部动态有界解的存在性

由于系统的内部动态不稳定，非最小相位系统的输出跟踪问题是一个具有挑战性的非常困难的问题，非最小相位系统在跟踪期望的输出轨这时，内部动态的不稳定变量可能发散。研究表明，不稳定内部动态有界解的存在性是非最小相位系统能够稳定跟踪期望输出轨迹的关键。对于系统内部动态具有双曲型形式的情形，Ｄｅｖａｓｉａ，Ｐａｄｅｎ和Ｃｈｅｎ利用对于不稳内部动态变量反时间方向积分的方法，证明了系统的内部地部存在有界解。文中讨     

不完全市场理论中的Grassmann流形

给出不完全市场一般均衡理论分析中最重要的数学对象Grassmann流形有关知识的详细论述。     

导弹非线性控制系统设计方法研究

导弹过载输出跟踪控制系统是一个非最小相位系统.为了克服非最小相位特性造成的设计控制器的困难,介绍了一种新颖的导弹非线性控制算法--(系统)浸入和(流行)不变算法,将导弹的输出跟踪问题转化为系统的镇定问题.研究和仿真结果表明,这种方法是简单和实用的.     

Low-energy Earth–Moon transfers involving manifolds through isomorphic mapping

Analysis and design of low-energy transfers to the Moon has been a subject of great interest for decades. Exterior and interior transfers, based on the transit through the regions where the collinear libration points are located, have been studied for a long time and some space missions have already taken advantage of the results of these studies. This paper is concerned with a geometrical approach for low-energy Earth-to-Moon mission analysis, based on isomorphic mapping. The isomorphic mapping of trajectories allows a visual, intuitive representation of periodic orbits and of the related invariant manifolds, which correspond to tubes that emanate from the curve associated with the periodic orbit. Two types of Earth-to-Moon missions are considered. The first mission is composed of the following arcs: (i) transfer trajectory from a circular low Earth orbit to the stable invariant manifold associated with the Lyapunov orbit at L₁ (corresponding to a specified energy level) and (ii) transfer trajectory along the unstable manifold associated with the Lyapunov orbit at L₁, with final injection in a periodic orbit around the Moon. The second mission is composed of the following arcs: (i) transfer trajectory from a circular low Earth orbit to the stable invariant manifold associated with the Lyapunov orbit at L₁ (corresponding to a specified energy level) and (ii) transfer trajectory along the unstable manifold associated with the Lyapunov orbit at L₁, with final injection in a capture (non-periodic) orbit around the Moon. In both cases three velocity impulses are needed to perform the transfer: the first at an unknown initial point along the low Earth orbit, the second at injection on the stable manifold, the third at injection in the final (periodic or capture) orbit. The final goal is in finding the optimization parameters, which are represented by the locations, directions, and magnitudes of the velocity impulses such that the overall delta-v of the transfer is minimized. This work proves how isomorphic mapping (in two distinct forms) can be profitably employed to optimize such transfers, by determining in a geometrical fashion the desired optimization parameters that minimize the delta-v budget required to perform the transfer.     

飞行器壁板颤振的无限维非线性分析

 一、无限维Hopf分叉定理和中心不变流形定理 由于偏微分方程的矢量场（在任一适当的Banach空间中）常常不是光滑函数,Marsden-McCracken利用（相）流的光滑性提出了流的Hopf分叉定理和中心流形定理。这里的流都是半（相）流,也就是半群。     

行星际高速公路技术

介绍了行星际高速公路技术的研究背景，有条件地分析了行星际高速公路技术的限制性三体问题、混沌动力学问题和行星际高速公路的描述与计算问题，最后探讨了行星际高速公路在低能量星际转移轨道设计中的应用和在未来星际城市开发中的潜在价值。     

一种雷达信号模糊函数特征提取与识别方法

现代雷达面向智能化、软件化、多功能与多用途方向发展,一部雷达往往具有多种工作体制与工作状态,雷达信号采用复杂的波形设计,这就使得雷达信号的特征提取与识别过程变得越来越困难。另外,现代电磁环境复杂,杂波、噪声干扰严重,给雷达的侦察工作带来更大的难度。基于此,提出将流形学习应用于雷达信号模糊函数的特征提取,并对其进行仿真与分析。结果验证了该方法的可行性。     

不锈钢弯管上用预制椭圆孔翻边成形圆孔

通过对液体火箭发动机所用不锈钢弯管上椭圆预制孔翻边成形圆孔的分析、计算及试验，确定了合理的椭圆孔长轴和短轴尺寸计算公式，给出了翻边力的计算公式．翻边凸模为球形。考虑到回弹的影响，实际长、短轴尺寸要比根据公式计算出的值小一些，球形凸模的直径要比翻边直径大一些。     

星际高速公路技术及其在夸父计划中的应用

 简述了星际高速公路技术的物理意义和特征以及中国深空探测的现状和计划,分析了圆型限制性三体问题及其周期和准周期轨道,给出星际高速公路的描述与初步计算,探讨了星际高速公路技术在夸父卫星A轨道设计中的应用,最后分析了该技术在未来深空探测活动中的潜在价值。