基于结构随机跳变系统的制导误差预测

针对空中目标作大机动时导弹制导误差难以预测的缺点,将导弹和目标视为一个结构随机跳变系统,并将目标作大机动当作系统的外部扰动输入,建立了该系统的数学模型,应用结构随机跳变系统理论对脱靶量的数学期望和方差进行了计算。通过仿真表明,该方法可对大机动目标进行制导误差预测,还可为变系数导引律的设计提供依据。     

具有分布时滞的随机反应扩散细胞神经网络的几乎必然指数稳定性

研究一类具有分布时滞和反应扩散的随机细胞神经网络的稳定性。通过构造Lyapunov泛函,并利用It公式、半鞅收敛定理以及不等式技巧,得到了系统几乎必然指数稳定的充分条件。     

Optimal pricing and inventory control policy in periodic‐review systems with fixed ordering cost and lost sales

This paper studies a periodic‐review pricing and inventory control problem for a retailer, which faces stochastic price‐sensitive demand, under quite general modeling assumptions. Any unsatisfied demand is lost, and any leftover inventory at the end of the finite selling horizon has a salvage value. The cost component for the retailer includes holding, shortage, and both variable and fixed ordering costs. The retailer's objective is to maximize its discounted expected profit over the selling horizon by dynamically deciding on the optimal pricing and replenishment policy for each period. We show that, under a mild assumption on the additive demand function, at the beginning of each period an (s,S) policy is optimal for replenishment, and the value of the optimal price depends on the inventory level after the replenishment decision has been done. Our numerical study also suggests that for a sufficiently long selling horizon, the optimal policy is almost stationary. Furthermore, the fixed ordering cost (K) plays a significant role in our modeling framework. Specifically, any increase in K results in lower s and higher S. On the other hand, the profit impact of dynamically changing the retail price, contrasted with a single fixed price throughout the selling horizon, also increases with K. We demonstrate that using the optimal policy values from a model with backordering of unmet demands as approximations in our model might result in significant profit penalty. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Requirements planning for modular products

The focus of this paper is on determining the requirements of different component options of a modular end‐product in an uncertain environment. We explicitly model two distinct sources of uncertainty: stochastic end‐product demand and unknown market proportions for the different product options available. Our cost minimizing model focuses on determining the optimal requirements policies for component options that meet a pre‐set service level. We show that simple common‐sense requirements policies are not generally optimal; there is a non‐linear connection between service level and component requirements that is hard to characterize without a detailed analysis. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006     

Reliability inference for field conditions from accelerated degradation testing

Accelerated degradation testing (ADT) is usually conducted under deterministic stresses such as constant‐stress, step‐stress, and cyclic‐stress. Based on ADT data, an ADT model is developed to predict reliability under normal (field) operating conditions. In engineering applications, the “standard” approach for reliability prediction assumes that the normal operating conditions are deterministic or simply uses the mean values of the stresses while ignoring their variability. Such an approach may lead to significant prediction errors. In this paper, we extend an ADT model obtained from constant‐stress ADT experiments to predict field reliability by considering the stress variations. A case study is provided to demonstrate the proposed statistical inference procedure. The accuracy of the procedure is verified by simulation using various distributions of field stresses. © 2006 Wiley Periodicals, Inc. Naval Research Logistics, 2006.     

防御矩阵满足乘法交换律的证明

在使用马尔柯夫链分析多层防御系统的防御效用值时,发现防御矩阵是否满足乘法交换律将关系到多层防御系统变换部署后的防御效用值,因此有必要对防御矩阵是否满足乘法交换律进行证明。首先介绍了防御矩阵的概念、物理意义、重要性质及计算方法,分析了防御矩阵满足乘法交换律的重要意义,最后综合运用数学归纳法和随机矩阵性质证明了防御矩阵满足乘法交换律的事实,此结论无论对于多层防御系统的防御效用值研究还是矩阵理论研究都有一定的指导作用。     

梯格形自适应控制

本文讨论并解决了具有d步时延的多变量系统的梯格形自适应控制问题。为此,把自适应控制下的闭环系统嵌入到ARMA模型中,采用梯格算法进行预报。为了考虑d步时延控制系统,采用简捷方法推导了d步梯格预报公式,并给出了控制量的确定方法。采用梯格形自适应控制可方便地调节模型的阶次,从而可以克服对象阶次不准引起的自适应控制失效的问题。     

微机数控定比运动速度插补的最小误差法

本文针对微机数控中检测一轴的运动、控制另一轴运动的定比运动,提出了一个控制速度插补的算法,证明了这种方法的最小误差特点,并进行了误差分析。     

地形匹配辅助导航中的地形独特性分析

本文提出了一种用于地形匹配辅助导航系统中地形独特性分析方法。该方法从地形匹配的物理模型出发，定义了描述局部地形独特性的一个概率向量，在此基础上，给出了地形独特性的熵度量方法。分析和仿真实验表明，地形熵越小，地形就越独特，地形匹配区的可导航性就越好。     

高功率水介质开关加载脉冲电压波头的数值分析

文中对02号实验装置——高功率脉冲水介质开关上加载的脉冲电压的波头作了数值分析,理论上讨论了各参数对水开关工作性能的影响,得出了C_M/C对水击穿特性影响很大的重要结论,从而给高功率亚微秒水开关的设计提供了理论依据。本装置的大量实验数据验证了计算的正确性。