考虑非线性退化与随机失效阈值的剩余寿命预测

针对广泛存在的非线性退化设备,现有方法尚未考虑随机失效阈值对剩余寿命预测结果的影响。因此,通过对设备性能退化过程进行分析,提出了一种综合考虑非线性退化与随机失效阈值的剩余寿命预测方法。基于Wiener过程构建了考虑个体差异与测量误差的非线性退化模型;基于卡尔曼滤波算法建立状态空间模型以实现对退化状态的在线更新;基于极大似然法估计失效阈值分布系数估计方法,得到随机失效阈值的概率分布;基于随机失效阈值推导出剩余寿命的概率分布,实现对剩余寿命的在线预测。算例研究表明,所提方法可以有效地提升剩余寿命预测的准确性,具备一定工程应用价值。     

超连续谱激光光源研究进展

高非线性光纤制造技术的成熟和光纤激光器性能的提升,极大地促进了超连续谱光源的快速发展,以光纤为非线性介质的超连续谱的产生成为当前研究热点。从可见光、近红外和中红外3个不同波段,综述了超连续谱产生的技术方案与最新进展。当前,可见光和近红外波段的超连续谱光源输出功率已经突破百瓦量级,并出现了多芯光子晶体光纤、光纤放大器和随机光纤激光器产生超连续谱等众多新方案;以氟化物光纤和亚碲酸盐光纤为非线性介质的中红外超连续谱,输出功率也突破了十瓦量级;在光谱拓展方面,以硫系光纤为非线性介质的超连续谱,输出光谱已扩展到12μm以上。     

Revenue management under randomly evolving economic conditions

We consider a dynamic pricing model in which the instantaneous rate of the demand arrival process is dependent on not only the current price charged by the concerned firm, but also the present state of the world. While reflecting the current economic condition, the state evolves in a Markovian fashion. This model represents the real‐life situation in which the sales season is relatively long compared to the fast pace at which the outside environment changes. We establish the value of being better informed on the state of the world. When reasonable monotonicity conditions are met, we show that better present economic conditions will lead to higher prices. Our computational study is partially calibrated with real data. It demonstrates that the benefit of heeding varying economic conditions is on par with the value of embracing randomness in the demand process. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 66:73–89,2019     

一类偶数阶非线性中立型偏微分方程组的振动判据

讨论一类偶数阶非线性中立型偏微分方程组的振动性,利用Green公式和边值条件将这类非线性中立型偏微分方程组的振动问题转化为中立型微分不等式不存在最终正解的问题,并利用最终正解的定义和微分不等式方法,获得了该类方程组在两类不同边值条件下所有解振动的若干充分性条件。所得结果为解决物理学、生物学、工程学等学科领域中的实际问题提供了数学理论基础。     

第19届国际信息融合会议及获奖论文评述

总结了第19届国际信息融合会议的总体情况和主要特点，通过对大会报告、分会场报告以及国际信息融合界一些著名专家团队发表论文情况的统计分析，提炼出国际信息融合界普遍关注的焦点和难点问题；通过对获奖论文的分析，了解到受大会评奖委员会一致认可的年度优秀成果和技术进步点；最后，面向高层信息融合中的不确定性处理，对信息融合领域的发展进行展望。     

基于Hankel范数近似的磁悬浮控制系统模型降阶

对于磁悬浮系统而言,忽略轨道的弹性进行控制算法设计,是一种常见的方法。但是,当轨道的刚度较小时,这种方法的控制性能较差。考虑轨道弹性所设计的控制算法,理论上能确保系统的良好性能但是会使得系统复杂度增加。本文采用Hankel范数近似法对基于弹性轨道的模型进行降阶。针对刚性轨道系统模型和降阶模型设计控制算法,利用仿真结果验证降阶模型的可行性。     

Transporting jobs through a two‐machine open shop

We consider the two‐machine open shop scheduling problem in which the jobs are brought to the system by a single transporter and moved between the processing machines by the same transporter. The purpose is to split the jobs into batches and to find the sequence of moves of the transporter so that the time by which the completed jobs are collected together on board the transporter is minimal. We present a ‐approximation algorithm. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009     

A model to design recreational boat mooring fields

This article develops a mathematical model and heuristic algorithm to design recreational boating mooring fields. The boating industry is important to the Florida economy, and boat storage is becoming a concern among those in the industry. The mooring field design problem is formulated to maximize the total number of boat feet moored in the mooring field. In the model, we allow two adjacent moorings to overlap, which introduces a risk that under certain conditions the boats on these moorings could contact each other. We identify the conditions when contact is possible and quantify the probability of contact. The mooring field design problem is formulated as a nonlinear mixed‐integer programming problem. To solve the problem, we decompose it into two separate models, a mooring radii assignment model and a mooring layout model, which are solved sequentially. The first is solved via exhaustive enumeration and the second via a depth‐first search algorithm. Two actual mooring fields are evaluated, and in both cases our model leads to better layouts than ones experts developed manually. The mooring field design model rationalizes the mooring field design and shows that in one case by increasing the risk from 0 to 1%, the mooring efficiency increases from 74.8% to 96.2%. © 2009 Wiley Periodicals, Inc. Naval Research Logistics, 2009     

基于状态观测器的混沌系统鲁棒同步设计

研究了在有界干扰情况下一类非线性反馈混沌系统的鲁棒同步状态观测器设计问题。基于Sylvester矩阵方程的参数化解,将非线性反馈混沌系统的鲁棒同步状态观测器设计问题转化为带有约束条件的优化问题,通过解决该优化问题得到鲁棒同步状态观测器的增益矩阵,从而达到了干扰信号解耦目的。数值算例及其仿真结果表明:该非线性反馈混沌系统的鲁棒同步状态观测器的设计方法是简单有效的。     

关于Reich的公开问题

设E是具有一致G -可微范数的实Banach空间 ,D是E的非空闭凸子集 ,T :D→D是非扩张映象 ,F(T)非空。设 {αn} ,{ βn}是 [0 ,1]中满足一定条件的两个序列 ,定义压缩映象St:D→D为 :St(z) =(1-t)x tTz , x ,z∈D , n≥ 1,t∈ (0 ,1) .设zt 是St 的唯一不动点 ,若当t→ 1-时 ,{zt}强收敛于某点z∈F(T) .那么 ,Reich序列 {xn}强收敛于某点z∈F(T) .