Stability in a general oligopoly model

We analyze a general but parsimonious price competition model for an oligopoly in which each firm offers any number of products. The demand volumes are general piecewise affine functions of the full price vector, generated as the “regular” extension of a base set of affine functions. The model specifies a product assortment, along with their prices and demand volumes, in contrast to most commonly used demand models. We identify a fully best response operator which is monotonically increasing so that the market converges to a Nash equilibrium, when firms dynamically adjust their prices, as best responses to their competitors' prices, at least when starting in one of two price regions. Moreover, geometrically fast convergence to a common equilibrium can be guaranteed for an arbitrary starting point, under an additional condition for the price sensitivity matrix.     

基于通用扩张状态观测器的鲁棒飞行控制方法

针对参数不确定、外界干扰与测量噪声情况下飞行控制问题,提出一种基于通用扩张状态观测器的鲁棒飞行控制方法。基于状态相关的Riccati方程控制方法对飞行器俯仰通道非线性模型进行扩展线性化;引入基于通用扩张状态观测器的控制方法,设计干扰补偿增益,实现对外界干扰的估计与补偿;通过在线解算状态相关矩阵及代数黎卡提方程,得出状态反馈增益与干扰补偿增益,实现对飞行器期望攻角的跟踪控制。与已有方法对比表明,所提方法不仅对系统模型不确定性与外界干扰具有较强的鲁棒性,而且在较大测量噪声情况下,其依然能够保证良好的跟踪控制效果,具有较强的工程应用价值。     

基于子阵结构的相控阵MIMO雷达分辨能力分析

在阵元总数一定的情况下,不同的子阵划分方式和布阵间距对不同子阵发射正交波形,子阵内发射相干波形的相控阵-MIMO雷达系统的分辨力的影响,首先通过相控阵-MIMO雷达的信号模型推导出其广义模糊函数,然后以此分析子阵结构对距离、多普勒、方位三维分辨力的影响。仿真结果表明,在阵元总数一定的情况下,子阵越多,系统距离分辨力越高,子阵越大,多普勒分辨力越高,子阵间距满足一定条件才能有较好的系统分辨力。这些结论对相控阵-MIMO雷达子阵结构设计具有指导意义。     

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     

超凸度量空间中KKM理论的一些应用

在超凸度量空间利用广义度量KKM映象原理的特性得到一类新的广义极大极小不等式,并进一步借助这类极大极小不等式,在更广泛的条件下,获得鞍点问题的一个新的存在性结果。     

关于火工品设计的若干问题探讨

以一个导弹级间分离用火工方案为例 ,提出了“一次性产品”(火工品 )设计的主要问题 ,特别是对“一次成功”有重要意义的“产品故障树”进行了探讨     

宋代士人心理与词的内在契合

士人是中国文化的主体 ,他们的心理对文学有着决定作用。宋代士人的心理转向契合了宋词的特质 :宋代士人偏重内心关怀 ,词则长于情绪抒写 ;宋代士人有无法言说的内心愁绪 ,词则婉转曲折、伤感缠绵。另外词虽为艳科 ,宋人却有出污泥而不染的阔达胸境。由此宋代士人将其真情实感倾注于词中 ,成就了一代文学     

使用I-DEAS软件进行产品结构标准的计算

介绍了产品结构(productarchitecture)的定义和研究背景.目前有若干种方法来衡量产品结构,其中一种是结合实体建模程序自动完成量化工作,文中重点介绍了此方法.采用I DEAS软件,基于Steiner方法,所编程序植入I DEAS,从而实现产品结构的计算.     

武器系统总体设计集成框架设计与实现

讨论了支持武器系统总体设计的集成框架所要解决的主要问题 ,提出了基于共享产品模型和过程建模的集成框架体系结构 ,结合某武器系统的总体设计 ,研究了实现这类集成框架的主要技术问题 ,最后 ,给出了一个运用集成框架进行导弹外形设计的计算实例     

模糊匈牙利算法在舰艇抢修人员指派问题中的研究

分析了舰艇在执行任务或作战等紧急情况下的抢修人员指派问题,并对此建立了多目标广义指派问题的数学模型。在任务数少于工作人数的情况下,采用虚拟“工作”和“人员”的方法,得到适合经典匈牙利算法的拓展效益矩阵,并对此矩阵采用匈牙利算法求得最优指派。