复杂系统的结构演变

考虑复杂性的一个侧面,从最简单的非线性方程出发,探讨战斗格局的结构演变和国防经费的良性循环,并通过这两个实例,揭示控制参数临界点的研究和度的把握,具有很大的理论意义和广泛的应用前景。     

隐蔽锥扫雷达波束的交叉点电平

本文根据隐蔽锥扫雷达天线的工作原理,从方向性函数出发,分析了接收状态下高频馈电网络中,和差信号的幅相特性与隐蔽锥扫波束交叉点电平的关系,从而对不能自动跟踪的隐蔽锥扫雷达,从天馈系统方面分析了原因,并为设计和部队维修提供了理论根据和有效方法。     

载人登月着陆窗口与定点返回轨道耦合设计

对于月面中高纬度着陆且定点返回地球中高纬度着陆场的载人登月任务而言,月面着陆窗口与定点返回轨道设计存在耦合关系,这是工程任务面对的关键技术之一。针对任务背景及约束条件,建立月面着陆窗口与定点返回轨道求解数学模型;通过数值求解着陆窗口与返回轨道参数规律,并从空间几何关系分析耦合机理;以2025年载人月面虹湾探测为例,给出了着陆窗口与定点返回轨道求解流程及验证算例。计算结果经商业软件STK校验正确,表明该方法是一种简捷精确的载人登月任务规划方法,可在未来载人登月工程任务规划时直接使用。     

Bayesian inference based on partial monitoring of components with applications to preventive system maintenance

Consider a binary, monotone system of n components. The assessment of the parameter vector, θ, of the joint distribution of the lifetimes of the components and hence of the reliability of the system is often difficult due to scarcity of data. It is therefore important to make use of all information in an efficient way. For instance, prior knowledge is often of importance and can indeed conveniently be incorporated by the Bayesian approach. It may also be important to continuously extract information from a system currently in operation. This may be useful both for decisions concerning the system in operation as well as for decisions improving the components or changing the design of similar new systems. As in Meilijson [12], life‐monitoring of some components and conditional life‐monitoring of some others is considered. In addition to data arising from this monitoring scheme, so‐called autopsy data are observed, if not censored. The probabilistic structure underlying this kind of data is described, and basic likelihood formulae are arrived at. A thorough discussion of an important aspect of this probabilistic structure, the inspection strategy, is given. Based on a version of this strategy a procedure for preventive system maintenance is developed and a detailed application to a network system presented. All the way a Bayesian approach to estimation of θ is applied. For the special case where components are conditionally independent given θ with exponentially distributed lifetimes it is shown that the weighted sum of products of generalized gamma distributions, as introduced in Gåsemyr and Natvig [7], is the conjugate prior for θ. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 551–577, 2001.     

Patterns in spatial point locations: Local indicators of spatial association in a minefield with clutter

The problem of detecting a minefield in the presence of clutter can be abstracted to that of detecting a spatial pattern within a set of point locations. The point locations are superpositions of several patterns, one of which corresponds to mines. In contrast to previous articles that take a formal, model‐based approach, this article proposes a statistical methodology that is distinctly exploratory. Each point location is considered separately, and its contributions to a global measure of spatial distances between locations are featured. Different patterns and unusual points can be more easily identified on the new scale. Both minefield data and simulated point patterns demonstrate the power of the method. © 2001 John Wiley & Sons, Inc., Naval Research Logistics 48:333–347, 2001     

无限大均匀介质中电荷间的相互作用力

本文对无限大均匀介质中电荷的受力情况进行了分析.分析结果表明无限大均匀介质中两个自由的点电荷之间的相互作用力服从介质中的库仑定律.     

中远程战术导弹预测命中点的计算

探讨了如何根据被动段反战术弹道导弹运动状态来计算其弹道根轨道参数和预测命中点的一般方法。     

高等几何中共点线(共线点)问题的证明

通过一题十种证法试图说明,共点线（共线点）问题的证明在高等几何中的重要作用。     

高维非线性电路平衡点稳定性研究

提出了一种新的分析具有分解形式的高维非线性电路平衡点全局渐近稳定的方法.这种方法以矩阵分解为工具,结合平衡点的渐近稳定判据,用分解矩阵的稳定性决定平衡点的全局渐近稳定性.与目前该问题所采用的LIYAPUNOV直接法相比,该方法具有无须判断平衡点的唯一性,判别方法直接明了等优点.电路维数越大时,此方法越有其优势.同时,该方法对于其他形式的非线性系统的分析,也有重要的启发性及应用价值.     

一类可逆多分子饱和反应系统的定性研究

研究了一类具有饱和输出的可逆多分子反应动力学模型 x=( y b) (δ-xyn cyn 1 ) y=( y b) yn(x-cy) -ay应用微分方程定性理论 ,较完整地解决了该系统极限环的存在性、唯一性及不存在性。