一类带有临界Sobolev指标和强奇性项椭圆方程解的存在性

运用变分方法及Hardy不等式讨论了一类特殊的椭圆方程,证明了在一定条件下方程解的存在性。     

基于最小最大概率回归的混沌时间序列全局预测

提出了使用最大化最小概率机器回归MPMR方法进行混沌时间序列的全局预测,在分析最大化最小概率机器MPM及用于回归的原理的基础上,MPMR方法被用于Mackey-Glass混沌时间序列多步预测.在对该序列进行1至20步的预测中,MPMR方法较局步加权线性回归方法具有更好的预测效果.核函数形状参数及回归管道宽度ε的选取将直接影响MPMR回归技术的系统性能,试验中我们使用了交叉验证的方法确定这两个参数值.试验证明,核函数形状参数和回归管道宽度取值都为2和3的情况下,预测效果更为理想.     

一个几何不等式的加强

根据一个已知的几何不等式,应用差分代换方法并借助于Maple软件进行计算,证明了下述几何不等式:对△ABC与任意一点P有∑PAw2b w2c≥2(其中wa,wb,wc为△ABC的内角平分线),给出了它的几个推论,提出并应用计算机验证了两个猜想.     

基于6σ的动车组转向架构架 非概率可靠性分析

针对转向架构架静强度实验结果仅对测试件有效,不能准确反映整批构架的结构强度是否满足要求的问题,提出一种基于6σ的非概率可靠性分析方法。首先,通过对转向架构架进行结构强度分析,确定受力较大部位的区间变量,并基于参数化模型对其进行D-最优试验设计,建立表征转向架构架结构特征的多项式响应面函数。其次,结合6σ原则和Chebyshev不等式,建立描述区间变量的分段函数模型,给出新模型中区间变量的生成策略和非概率可靠度的计算方法。最后,以动车组转向架构架为研究对象,对其进行结构可靠性分析,并与传统的分析方法进行对比。研究结果表明:在信息缺乏或小样本的条件下,分段函数模型更好地反映整批构架的结构可靠性,弥补了基于均匀分布假定相对保守的缺陷,同时,解决了由测试次数少导致的实验结果的局限性。     

New Sarwate Bounds on Aperiodic Correlation of Sequences over pth Roots of Unity

Introduction　　Thecorrelationpropertiesofsetsofsequencesareimportantwhentheyareusedasthespreadingcodesincode divisionmultipleaccess (CDMA)spread spectrumcommunicationsaswellasinrangingandsynchronizationapplications[1] .Thesequencesusedinthesefieldsarealw…     

二阶积分微分差分方程的Robin边值问题的存在性与唯一性

利用微分不等式技巧研究了某一类二阶积分微分差分方程的Rob in边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明:这种技巧为其它边值问题的研究提出了崭新的思路.     

非匹配不确定奇异系统变结构控制设计

研究一类系统状态矩阵含非匹配不确定项的线性奇异系统的变结构控制设计问题.建立了能控规范受限等价分解形式.基于分解形式,利用线性矩阵不等式方法设计了切换面,并给出了满足系统状态到达切换面条件的变结构控制律.仿真示例表明,该设计方法不仅能保证系统状态轨迹实现滑模运动,而且保证系统的滑模运动正则、无脉冲且渐近稳定.     

仿紧集上新型抽象广义双拟变分不等式

笔者在本文应用文献[1]中得到的极大极小不等式研究了仿紧集上新型抽象广义双拟变分不等式解的存在性问题.     

Dynamic and disequilibrium analysis of interdependent infrastructure systems

There is a growing awareness in recent years that the interdependencies among the civil infrastructure systems have significant economic, security and engineering implications that may influence their resiliency, efficiency and effectiveness. To capture the various types of infrastructure interdependencies and incorporate them into decision-making processes in various application domains, Zhang and Peeta (2011) propose a generalized modeling framework that combines a multilayer infrastructure network (MIN) concept and a market-based economic approach using computable general equilibrium (CGE) theory and its spatial extension (SCGE) to formulate a static equilibrium infrastructure interdependencies problem. This paper extends the framework to address the dynamic and disequilibrium aspects of the infrastructure interdependencies problems. It briefly reviews the static model, and proposes an alternative formulation for it using the variational inequality (VI) technique. Based on this equivalent VI formulation, a within-period equilibrium-tending dynamic model is proposed to illustrate how these systems evolve towards an equilibrium state within a short duration after a perturbation. To address a longer time scale, a multi-period dynamic model is proposed. This model explicitly considers the evolution of infrastructure interdependencies over time and the temporal interactions among the various systems through dynamic parameters that link the different time periods. Using this model, numerical experiments are conducted for a special case with a single region to analyze the sensitivity of the model to the various parameters, and demonstrate the ability of the modeling framework to formulate and solve practical problems such as cascading failures, disaster recovery, and budget allocation in a dynamic setting.     

Efficiency Loss of the Multiclass Stochastic Traffic Equilibrium Assignment with Fixed Demand

There exists efficiency loss when introducing a user equilibrium traffic assignment in comparison with the system optimization assignment. Seeking the upper bound of the efficiency loss has attracted many scholars' attentions. The existing researches mainly focus on single user class and deterministic traffic assignment, few on stochastic user equilibrium (SUE) assignment with multiple user classes. In this paper, the authors investigate the upper bound of this SUE's inefficiency. Two decision-making criteria are used in the SUE, namely, time-based and monetary-based. It is shown that the upper bound of efficiency loss caused by the time-based SUE depends on the type of link travel time function, the network complexity, the travel demand, and the degree of users' perception error to travel cost. The upper bound of efficiency loss caused by the monetary-based SUE depends on the value of time of user classes besides the aforementioned factors.