Differential games of fixed duration with state constraints

We consider differential games of fixed duration with phase coordinate restrictions on the players. Results of Ref. 1 on games with phase restrictions on only one of the players are extended. Using Berkovitz's definition of a game (Ref. 2), we prove the existence and continuity (or Lipschitz continuity) of the value under appropriate assumptions. We also note that the value can be characterized as the viscosity solution of the associated Hamilton-Jacobi-Isaacs equation.This work comprises a part of the author's PhD Thesis completed at Purdue University under the direction of Professor L. D. Berkovitz. The author wishes to thank Professor Berkovitz for suggesting the problem and many valuable discussions. During the research for this work, the author was supported by a David Ross Grant from Purdue University as well as by NSF Grant No. DMS-87-00813.     

Identifying Codes in Line Graphs

An identifying code of a graph is a subset of its vertices such that every vertex of the graph is uniquely identified by the set of its neighbors within the code. We study the edge‐identifying code problem, i.e. the identifying code problem in line graphs. If denotes the size of a minimum identifying code of an identifiable graph G, we show that the usual bound , where n denotes the order of G, can be improved to in the class of line graphs. Moreover, this bound is tight. We also prove that the upper bound , where is the line graph of G, holds (with two exceptions). This implies that a conjecture of R. Klasing, A. Kosowski, A. Raspaud, and the first author holds for a subclass of line graphs. Finally, we show that the edge‐identifying code problem is NP‐complete, even for the class of planar bipartite graphs of maximum degree 3 and arbitrarily large girth.     

SEM Modeling with Singular Moment Matrices Part II: ML-Estimation of Sampled Stochastic Differential Equations

Linear stochastic differential equations are expressed as an exact discrete model (EDM) and estimated with structural equation models (SEMs) and the Kalman filter (KF) algorithm. The oversampling approach is introduced in order to formulate the EDM on a time grid which is finer than the sampling intervals. This leads to a simple computation of the nonlinear parameter functionals of the EDM. For small discretization intervals, the functionals can be linearized, and standard software permitting only linear parameter restrictions can be used. However, in this case the SEM approach must handle large matrices leading to degraded performance and possible numerical problems. The methods are compared using coupled linear random oscillators with time-varying parameters and irregular sampling times.     

基于LabVIEW的激光诱导击穿光谱谱线识别软件研究

介绍了自主开发的LIBS谱线识别软件,基于LabVIEW虚拟仪器开发平台,利用二次微商和阈值判定对LIBS谱数据进行降噪、寻峰,并通过参考NIST原子光谱数据库,确定了多种常见元素的特征波长,可以自动识别元素谱线,实现了对样品所含元素种类的定性分析。该软件系统定性分析元素简单、快捷,具有一定的实用性及推广价值。     

基于PLSR的多级制造过程关键质量特性识别方法

为解决多级制造过程关键质量特性识别中多质量特性之间的相关性问题,将偏最小二乘回归方法(Partial Least Squares Regression, PLSR)引入模型构建与分析中。首先应用状态空间方法建立多级制造过程关键质量特性识别模型,进而利用PLSR方法解决质量特性间的多重共线性问题并进行模型分析,识别关键质量特性,最后以卷烟生产过程为例介绍了该方法的应用。实例表明,该方法不仅可以有效识别多级制造过程关键质量特性,而且能够建立各级过程的输出质量对最终产品质量的影响及其质量特性之间相互关系的模型,反映多级生产过程的结构特征和各级过程质量特性之间的因果关系,为多级制造过程质量分析与控制提供依据。     

关于带时间约束的单机排序的一个注记

研究单机带时间B-约束的排序问题,即在任意单位时间区间[x,x+1）内至多允许加工B个工件,目标函数是极小化工件的最大完工时间.分析了B=2时最优排序的结构与性质,设计了O（n log n）时间的启发式算法.当工件数较少（≤ 6）时,证明了该算法的最优性.     

Unattended acoustic events classification at the vicinity of airports

This paper describes a method for the automatic identification of acoustic events using a weighted average of sound pressure and sound intensity measured at the vicinity of airports. The classification is based on the combination of different parameters using a technique conceptually similar to the sensor fusion: the indications of different classifiers are merged using the classification uncertainty as a figure of merit. The method uses the results of a training phase for the observation of statistical distributions of sound pressure and sound intensity related parameters. The different parameters’ weights are computed analyzing the overlap of probability distributions of takeoffs and landings, so that more relevance is given to the quantities presenting a low risk of misclassification. The proposed method does not require any arbitrary assumption about the parameter effectiveness, given that the indications of multiple (potentially infinite) classifiers can be merged together with weights that minimize the chance of misclassification. The method has been validated with measurements performed at the Milan Malpensa airport (Italy). Results outlined that the proposed classification criterion correctly identifies approximately 99% of events.     

基于概率神经网络的欺诈性财务报告的识别研究

本文探索概率神经网络PNNs(Probabilistic Neural Networks)在构建欺诈性财务报告识别模型方面的有效性,重点探讨了PNN模型变量的选择及平滑参数的确定问题,同时将所提出模型的性能和人工神经网络(ANNs)、logit回归模型的性能进行了比较.结果证明,PNN模型具有很高的预测力,并发现该模型的性能优于ANN模型以及logit回归模型.     

偏好约束锥DEA模型在工业企业创新效率评价中的应用

为解决工业企业创新活动中的创新效率评价方法不能同时兼顾定量与定性分析的问题,结合现有的创新效率评价的方法,以及评价中既要依赖客观数据又要反映决策者偏好的评价准则特点,构建了带有偏好锥的DEA模型,并建立了相应的创新效率投入产出指标体系.利用该模型和体系对创新效率评价方法进行了研究,最后以重庆市2007年工业企业创新统计数据为依据,对8个不同类型企业的创新效率进行了评价.研究表明:该方法能反映决策者的偏好,解决了定量与定性分析相结合的问题.     

π-σ轨道作用能分解法和限制万轨道作用的几何优化

简要地介绍能量分解法的发展历史，强调能量分解的特点是给量子化学的计算提供明确的化学意义，介绍本实验室建立的能量分解法和限制轨道作用的几何优化法。在这两个方法的基础上，论证了丌．电子离域是失稳定的；颠倒了经典有机结构理论中基本的因果关系——共轭效应和构象之间的因果关系；为芳香能的计算提供了一个新的模型和新的方法，表明芳香能的计算不再需要参考分子；定量地区别静电作用和电子离域在化学键形成中的作用；定量地讨论取代基效应和张力芳环的扭曲驱动力。