最优Hamilton圈的一种新算法

提出了一种行之有效的执行算法——换顶算法,对无向图权值矩阵的数据进行有效处理,通过交换顶点来寻找一条较优Hamilton圈。在整个过程中,权值矩阵的上三角数据为有效数据,只需要按一定的顶点交换规则对这部分数据进行调整就可以达到优化Hamilton圈的目的。提出了交换规则的思想,且通过选择适当的规则,先判定可行性再执行交换算法,节省了大量的运算时间,降低了算法的时间复杂性。该算法也适用于Hamilton链的情况。     

基于Lab Windows/CVI的弹发射信号检测方案

在分析NI-6259模块采样机理基础上,提出了一种基于Lab Windows/CVI检测28路弹发射信号的方案,并采用了矩阵转换法对采样数据进行处理,从而使发射信号波形更能直观地显示。实际应用表明,该方案能够实时检测火控单体输出的弹发射信号,对提高火控系统的检测效率有十分重要的意义。     

多边修正算法中的换顶原理及复杂性分析

对于无向赋权图,利用换顶过程中矩阵翻转与数据块调换时上三角部分数据的变化规律,对权值矩阵的数据进行处理,以完成无向完全图中H圈（H路类似）的修正过程。事实上,多边修正的原理最终是通过变换顶点达到的,而其主要用到的换顶规则是矩阵数据的块调换与翻转,该思想还可以推广到有向图的情形。最后利用换顶原理对多边修正算法进行了复杂性分析,讨论修正边数对复杂性的影响。     

具有偏好系数允许卖空的投资组合模型解存在的条件

在投资组合各种模型中,具有偏好系数的投资组合模型是最重要的模型之一,对其求解的研究具有理论价值。本文利用矩阵分块理论对此模型进行了研究,并给出了此模型解存在的一个充分条件。     

不相容矩阵方程AXB=D的反中心对称迭代解

研究了不相容矩阵方程AXB=D的反中心对称最佳逼近解,基于经典共轭梯度法思想,构造了求解这一问题的迭代算法,证明了该算法的有限终止性并给出了该方法的误差估计,最后利用具体的数值例子验证了算法的有效可行性。     

Discrete‐time analysis of MAP/PH/1 multiclass general preemptive priority queue

We use the matrix‐geometric method to study the MAP/PH/1 general preemptive priority queue with a multiple class of jobs. A procedure for obtaining the block matrices representing the transition matrix P is presented. We show that the special upper triangular structure of the matrix R obtained by Miller [Computation of steady‐state probabilities for M/M/1 priority queues, Oper Res 29(5) (1981), 945–958] can be extended to an upper triangular block structure. Moreover, the subblock matrices of matrix R also have such a structure. With this special structure, we develop a procedure to compute the matrix R. After obtaining the stationary distribution of the system, we study two primary performance indices, namely, the distributions of the number of jobs of each type in the system and their waiting times. Although most of our analysis is carried out for the case of K = 3, the developed approach is general enough to study the other cases (K ≥ 4). © 2003 Wiley Periodicals, Inc. Naval Research Logistics 50: 662–682, 2003.     

导弹自动驾驶仪控制算法鲁棒性研究

以某型轴对称导弹为研究对象,在解耦和线性化的情况下,得到简化的数学模型。通过求解线性矩阵不等式(LMI)设计了状态反馈H∞控制导弹自动驾驶仪,采用模糊和变论域理论设计了变论域模糊PID控制自动驾驶仪。考虑飞行过程中的干扰、气动参数摄动,对两种自动驾驶仪的控制性能进行对比研究,仿真结果表明,二者皆能实现对导弹制导指令的有效跟踪,其中状态反馈H∞控制设计的自动驾驶仪在指令跟踪的快速性、准确性和抗干扰性上具有明显的优越性。     

基于任意两共面相交圆的双目立体视觉标定法

提出一种基于同一平面内两相交圆作为平面标定模板的自标定原理,应用于固连在同一支撑架上（相对静止）的双摄像机组成的视觉系统,分别从四个角度对模板进行拍摄,即可求解摄像机的内外参数。实验表明：该算法可以得到比较满意的精度, 并且计算简便。     

A comprehensive review on material selection for polymer matrix composites subjected to impact load

Polymer matrix composites (PMC) are extensively been used in many engineering applications. Various natural fibers have emerged as potential replacements to synthetic fibers as reinforcing materials composites owing to their fairly better mechanical properties, low cost, environment friendliness and biodegradability. Selection of appropriate constituents of composites for a particular application is a tedious task for a designer/engineer. Impact loading has emerged as the serious threat for the composites used in structural or secondary structural application and demands the usage of appropriate fiber and matrix combination to enhance the energy absorption and mitigate the failure. The objective of the present review is to explore the composite with various fiber and matrix combination used for impact applications, identify the gap in the literature and suggest the potential naturally available fiber and matrix combination of composites for future work in the field of impact loading. The novelty of the present study lies in exploring the combination of naturally available fiber and matrix combination which can help in better energy absorption and mitigate the failure when subjected to impact loading. In addition, the application of multi attributes decision making (MADM) tools is demonstrated for selection of fiber and matrix materials which can serve as a benchmark study for the researchers in future.     

数字通信及状态相关方法在线缆测试中的应用

给出了基于串行数字通信及状态相关的线缆测试方法。对舰艇作战系统中各分系统、设备之间互连的电缆线路进行快速测试,通过对芯线状态测试矩阵的逻辑处理和变换,能准确地得到芯线状态的检查结果。实验表明:这种方法能大大提高对舰艇作战系统中各分系统、设备之间互连的电缆线路的检查维修效率。