基于循环子空间理论的线性系统测试矩阵优化

研究了线性定常系统在循环指数大于1(即其约当标准形不同的约当块有重根)的情况下测试矩阵的优化方法.以循环子空间相关定理的证明为基础,根据根向量链的相关特性,得到了测试向量的线性和与系统观测性的直接关系,给出了在保证系统可观测性的同时,使得测试代价最小的测试矩阵优化方法.算例表明,提出的方法简单直观,对配置测试向量具有良好的工程价值.     

机动目标一维距离像RAT法线性化补偿

研究了机动目标宽带线性调频脉冲回波全去斜率信号模型,根据速度和加速度的调频频谱展宽特点,提出了机动目标宽带一维距离像线性化调频回波模型,给出了Radon模糊图转换(RAT)法线性参数估计与运动补偿方法,并进一步分析了测速和测距误差.仿真实验验证了RAT法一维距离像线性化参数估计与补偿,表明该方法很好地解决了运动参数未知情况下机动目标的一维距离像频谱展宽问题.     

多爆炸成型弹丸性能参数灰关联分析

为了获得各参数对多爆炸成型弹丸毁伤性能的影响程度,以EFP速度和MEFP发散角为参考序列,以药型罩和装药参数为比较序列,运用灰关联理论对影响MEFP毁伤性能的参数进行了灰关联分析。在此基础上,应用灰关联分析结果完成了MEFP战斗部优化设计。结果表明:在较少样本空间前提下,采用灰关联理论可以分析获得影响多爆炸成型弹丸毁伤性能的各因素主次关系,而且经过优化后的MEFP战斗部,大大地提高了EFP的集聚性和毁伤性能。     

Adjacency‐based local top‐down search method for finding maximal efficient faces in multiple objective linear programming

It is well‐known that the efficient set of a multiobjective linear programming (MOLP) problem can be represented as a union of the maximal efficient faces of the feasible region. In this paper, we propose a method for finding all maximal efficient faces for an MOLP. The new method is based on a condition that all efficient vertices (short for the efficient extreme points and rays) for the MOLP have been found and it relies on the adjacency, affine independence and convexity results of efficient sets. The method uses a local top‐down search strategy to determine maximal efficient faces incident to every efficient vertex for finding maximal efficient faces of an MOLP problem. To our knowledge, the proposed method is the first top‐down search method that uses the adjacency property of the efficient set to find all maximal efficient faces. We discuss this and other advantages and disadvantages of the algorithm. We also discuss some computational experience we have had with our computer code for implementing the algorithm. This computational experience involved solving several MOLP problems with the code.     

短脉冲激光作用下爆发沸腾的温度及汽泡行为研究

采用短脉冲激光加热浸没在丙酮液池的铂薄膜电阻的方法,以及高压电火花单次放电高速照相技术,在国内首次建立了超急速爆发实验台,达到了微秒级的温度频响和2×106帧/s的高速照相.研究发现,随着激光热流密度增加,试件表面温度快速升高到一饱和值,与过热液体的动力学理论极限温度非常接近.拍摄到了与常规沸腾很不相同的蘑菇云式爆发沸腾照片.试件表面及临近表面的微薄液层内瞬间爆发生成大量大小相当的细小汽泡,汽泡脱离直径远低于经典Fritz公式计算值,上浮速度先快后慢.     

光顺样条函数的再生核表示与计算

光顺样条是散乱数据拟合的理想函数,是噪声数据最优平滑的重要工具。因此,光顺样条的数学表示和计算的研究具有重要的意义。本文在一般的线性微分算子和线性泛函的情况下讨论光顺样条函数的构造和计算,通过构造一个适当的再生核Hilbert空间,使得所讨论的微分算子光顺样条成为该空间中的最小范数问题,再利用投影理论建立了光顺样条函数的再生核表示方法,并得到了插值偏差表达式。作为特例,还给出了奇次多项式光顺样条函数新的简洁的计算方法。     

基于全寿命周期的舰船喷水推进装置综合保障技术研究

针对舰船喷水推进装置的保障需求，介绍了喷水推进装置的基本组成、技术特点，引入环境特征，使用特征因素，研究喷水推进装置从交装到服役期满的全寿命服役周期的综合保障技术，提出针对喷水推进装置在不同状态、不同时期的保障策略，建立喷水推进装置保障能力体系。     

Analytic solution for the nucleolus of a three‐player cooperative game

The nucleolus solution for cooperative games in characteristic function form is usually computed numerically by solving a sequence of linear programing (LP) problems, or by solving a single, but very large‐scale, LP problem. This article proposes an algebraic method to compute the nucleolus solution analytically (i.e., in closed‐form) for a three‐player cooperative game in characteristic function form. We first consider cooperative games with empty core and derive a formula to compute the nucleolus solution. Next, we examine cooperative games with nonempty core and calculate the nucleolus solution analytically for five possible cases arising from the relationship among the value functions of different coalitions. © 2010 Wiley Periodicals, Inc. Naval Research Logistics, 2010     

A search game taking account of attributes of searching resources

This article deals with a two‐person zero‐sum game called a search allocation game (SAG), in which a searcher and a target participate as players. The searcher distributes his searching resources in a search space to detect the target. The effect of resources lasts a certain period of time and extends to some areas at a distance from the resources' dropped points. On the other hand, the target moves around in the search space to evade the searcher. In the history of search games, there has been little research covering the durability and reachability of searching resources. This article proposes two linear programming formulations to solve the SAG with durable and reachable resources, and at the same time provide an optimal strategy of distributing searching resources for the searcher and an optimal moving strategy for the target. Using examples, we will analyze the influences of two attributes of resources on optimal strategies. © 2007 Wiley Periodicals, Inc. Naval Research Logistics 2008     

超音速子母弹时序抛撒分离干扰特性

为分析在时序抛撒方式下子母弹多体干扰流场特性及其对各舱段弹体气动特性的影响,基于流体控制方程与六自由度刚体运动方程,结合非结构动网格技术,分别对两种时序抛撒方式及后舱子弹单独抛撒方式下的子母弹三维非定常分离流场进行数值模拟,得到不同抛撒时序下的分离流场特性及其气动干扰特性,揭示各舱段子弹在不同分离阶段的气动干扰相互作用过程。研究结果表明:在时序抛撒分离过程中各弹体间激波不断地交错干扰,增加了流场结构的复杂性;前舱子弹的激波干扰使得后舱段子弹气动分离参数较低,分离效率较慢,尤其在短时序间隔下,后舱弹体受前舱子弹干扰较为严重,弹体的安全分离受到影响。