序统计滤波器的一些特性

本文分析了序统计滤波器的特性,并提出了它的几个统计特性。给出了输出信号的解析表达。并着重分析了它的联合分布,从而对输出信号的独立性进行了一定的描述。这为滤波器的设计提供了理论依据     

管道中高次波的有源控制

探讨管道中高次波的有源控制问题.首先,对消声条件下的次级声源强度进行了理论分析,并对误差传声器的数目与位置进行了讨论.最后,进行了控制方截面管中(0,0)次波(平面波)和(1,0)次波的实验.结果表明,对管道中的高次波实施有源控制是完全可能的.     

The joint signature of coherent systems

We investigate the joint signature of $m$ coherent systems, under the assumption that the components have independent and identically distributed lifetimes. The joint signature, for a particular ordering of failure times, is an $m$‐dimensional matrix depending solely on the composition of the systems and independent of the underlying distribution function of the component lifetimes. The elements of the $m$‐dimensional matrix are formulated based on the joint signatures of numerous series of parallel systems. The number of the joint signatures involved is an exponential function of the number of the minimal cut sets of each original system and may, therefore, be significantly large. We prove that although this number is typically large, a great number of the joint signatures are repeated, or removed by negative signs. We determine the maximum number of different joint signatures based on the number of systems and components. It is independent of the number of the minimal cut sets of each system and is polynomial in the number of components. Moreover, we consider all permutations of failure times and demonstrate that the results for one permutation can be of use for the others. Our theorems are applied to various examples. The main conclusion is that the joint signature can be computed much faster than expected.     

基于改进ESO的交流伺服系统FOPID定位控制

针对高炮炮控交流伺服系统高精度定位控制存在的外界干扰及诸多非线性因素,提出了基于连续光滑函数fan()的改进扩张状态观测器(ESO),并将其应用于分数阶PID控制器,即CS-ESO-FOPID。该控制器将所有外界干扰因素作为"总干扰"获取干扰实时量,并通过改进扩张状态观测器实现非线性因素的实时动态补偿。数字仿真证明,CS-ESO观测优于传统ESO观测,CS-ESO-FOPID的动态控制精度及对外部扰动的鲁棒性均优于FOPID控制,避免了基于传统ESO的分数阶PID易出现的高频颤振现象,从而验证了该控制策略的可行性和有效性。     

一类广义L-统计量的极限分布

假定(X1,Y1),(X2,Y2),…,(Xn,Yn)是取自二维随机向量(X,Y)的独立同分布样本.记X(1)≤X(2)≤…≤X(n)是X1,X2,…,Xn产生的次序统计量,Y[1],Y[2],…,Y[n]是诱导的次序统计量.讨论广义L-统计量Tn=n-1 n∑i=1 J(i/n+1)Y[i]的极限分布,式中J(x)是由实际问题的需要而选取的权函数.在较弱的条件下,证明了Tn的渐近正态性,同时给出了Tn的期望和方差的渐近公式.     

机场目标打击顺序灰色决策分析

对军事机场目标的结构、特征进行了系统分析,确立了军事机场目标评估体系,并运用灰色决策分析方法建立了军事机场多目标打击顺序确定的优化模型,为对该类实施导弹打击所进行的火力计划拟制提供了一种新的数学方法。     

基于内外子区域划分的高阶精度CFD程序异构并行算法

对计算流体力学(CFD)程序CNS提出一种Offload模式下基于内外子区域划分的异构并行算法,结合结构化网格下有限差分计算和四阶龙格库塔方法的特点,引入ghost网格点区域,设计了一种ghost区域收缩计算策略,显著降低了异构计算资源之间的数据传输开销,负载均衡时CPU端的计算与MPI通信完全和加速器端的计算重叠,提高了异构协同并行性。推导了保证计算正确性的ghost区域的参数,分析了负载均衡的条件。在“CPU(Intel Haswell Xeon E5-2670 12 cores ×2)＋加速器(Xeon Phi 7120A ×2)”的服务器上测得该算法较直接将任务子块整体迁至加速器端计算的异构算法性能平均提升5.9倍,较MPI/OpenMP两级并行算法使用24个纯CPU核的性能,该算法使用单加速器时加速1.27倍,使用双加速器加速1.45倍。讨论和分析了性能瓶颈与存在的问题。     

实兵演习战场态势研究

实兵演习战场态势是指挥员通过实战化训练提升获取战场情况、指挥部队行动能力的重要支撑和手段。首先针对当前实兵演习战场态势存在的数据结构、传输机制、系统架构和聚合显示等重点难点问题进行了详细地阐述和分析,然后在此基础上提出了态势数据结构的层次化设计、按需公布订购的数据传输机制、态势框架的柔性化设计和基于作战能力的态势聚合机制等相关的解决方法。以期能够建立一个支持大规模、分布式联合应用,并且可以显示综合战场态势和专用战场态势的战场态势系统。     

地球扰动引力对弹道导弹命中精度影响的等效补偿理论

为消除地球扰动引力的影响、提高弹道导弹的命中精度,根据地球扰动引力对弹道导弹运动影响的特性与控制系统理论,建立不直接补偿地球扰动引力对导弹运动参数的影响却能满足命中精度要求的等效补偿理论。根据不同补偿方式与补偿量的特点,提出嵌入式、分步式、分段式等补偿模式,为补偿地球扰动引力对导弹运动的影响提供了一个通用框架和理论基础。     

Convolutions and generalization of logconcavity: Implications and applications

Additive convolution of unimodal and α‐unimodal random variables are known as an old classic problem which has attracted the attention of many authors in theory and applied fields. Another type of convolution, called multiplicative convolution, is rather younger. In this article, we first focus on this newer concept and obtain several useful results in which the most important ones is that if is logconcave then so are and for some suitable increasing functions ?. This result contains and as two more important special cases. Furthermore, one table including more applied distributions comparing logconcavity of f(x) and and two comprehensive implications charts are provided. Then, these fundamental results are applied to aging properties, existence of moments and several kinds of ordered random variables. Multiplicative strong unimodality in the discrete case is also introduced and its properties are investigated. In the second part of the article, some refinements are made for additive convolutions. A remaining open problem is completed and a conjecture concerning convolution of discrete α‐unimodal distributions is settled. Then, we shall show that an existing result regarding convolution of symmetric discrete unimodal distributions is not correct and an easy alternative proof is presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 109–123, 2016