钛酸铅晶体反铁电相至电场感应铁电相相变的研究

仔细研究了PbTiO3电场感应铁电相的晶体结构。在初始反铁电相中,各离子位移方向与极轴垂直,但在外电场感应下,Pb离子沿极轴方向有相同方向0.17的位移,从而使晶体呈现铁电相特征,发生反铁电-铁电相变。此铁电相称之为电场感应铁(EFI)电相。通过结构对称性分析,确定EFI铁电相的对称性是C2mm(C2v),用极矢量Ps作为序参量来描述相变时对称性的变化是合适的。     

弹性压应力波作用下直杆动力失稳的差分解

以受载端简支、远端固支弹性直杆为例,通过对直杆微元的动力平衡分析导出了直杆动力失稳的控制方程,这与用哈密顿原理得出的方程完全一致。利用差分方法求解了动力屈曲方程,解出了动力失稳模态以及临界力参数和动力特征参数的值。特别分析了随着动力特征参数由零增加到一定值后,由静力失稳模态过渡到动力失稳模态的过程。结果表明,对于等效长度直杆,动力失稳临界压力要远大于静力失稳的临界压力。     

一种可调控的申请分配模型及应用

针对分配总量一定情况下的申请分配问题,给出了一种带有决策者意愿的分配模型;讨论了模型中各参数的取值范围,得出了使得模型有意义的参数取值范围;给出了具体的应用案例,通过选取不同的参数得出了不同结果,说明了模型的有效性。     

Subspace dynamic‐simplex linear interpolation search for mixed‐integer black‐box optimization problems

Design and management of complex systems with both integer and continuous decision variables can be guided using mixed‐integer optimization models and analysis. We propose a new mixed‐integer black‐box optimization (MIBO) method, subspace dynamic‐simplex linear interpolation search (SD‐SLIS), for decision making problems in which system performance can only be evaluated with a computer black‐box model. Through a sequence of gradient‐type local searches in subspaces of solution space, SD‐SLIS is particularly efficient for such MIBO problems with scaling issues. We discuss the convergence conditions and properties of SD‐SLIS algorithms for a class of MIBO problems. Under mild conditions, SD‐SLIS is proved to converge to a stationary solution asymptotically. We apply SD‐SLIS to six example problems including two MIBO problems associated with petroleum field development projects. The algorithm performance of SD‐SLIS is compared with that of a state‐of‐the‐art direct‐search method, NOMAD, and that of a full space simplex interpolation search, Full‐SLIS. The numerical results suggest that SD‐SLIS solves the example problems efficiently and outperforms the compared methods for most of the example cases. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 305–322, 2017     

Alleviating time inconsistent behaviors via a competition scheme

Under quasi‐hyperbolic discounting, the valuation of a payoff falls relatively rapidly for earlier delay periods, but then falls more slowly for longer delay periods. When the salespersons with quasi‐hyperbolic discounting consider the product sale problem, they would exert less effort than their early plan, thus resulting in losses of future profit. We propose a winner‐takes‐all competition to alleviate the above time inconsistent behaviors of the salespersons, and allow the company to maximize its revenue by choosing an optimal bonus. To evaluate the effects of the competition scheme, we define the group time inconsistency degree of the salespersons, which measures the consequence of time inconsistent behaviors, and two welfare measures, the group welfare of the salespersons and the company revenue. We show that the competition always improves the group welfare and the company revenue as long as the company chooses to run the competition in the first place. However, the effect on group time inconsistency degree is mixed. When the optimal bonus is moderate (extreme high), the competition motivates (over‐motivates) the salesperson to work hard, thus alleviates (worsens) the time inconsistent behaviors. © 2017 Wiley Periodicals, Inc. Naval Research Logistics 64: 357–372, 2017     

Probabilistic resource pooling games

We study a setting with a single type of resource and with several players, each associated with a single resource (of this type). Unavailability of these resources comes unexpectedly and with player‐specific costs. Players can cooperate by reallocating the available resources to the ones that need the resources most and let those who suffer the least absorb all the costs. We address the cost savings allocation problem with concepts of cooperative game theory. In particular, we formulate a probabilistic resource pooling game and study them on various properties. We show that these games are not necessarily convex, do have non‐empty cores, and are totally balanced. The latter two are shown via an interesting relationship with Böhm‐Bawerk horse market games. Next, we present an intuitive class of allocation rules for which the resulting allocations are core members and study an allocation rule within this class of allocation rules with an appealing fairness property. Finally, we show that our results can be applied to a spare parts pooling situation.     

航拍图像车辆检测中的圆形滤波器HOG特征快速计算

航拍图像中车辆一般近似为矩形结构,因此通过统计检测窗口中的梯度方向直方图并根据梯度主方向估计车辆朝向,将检测窗口旋转到相应方向进行分类器判别。车辆检测采用级联boosting分类器和梯度方向直方图特征,针对旋转窗口中梯度方向直方图特征的计算,设计一种基于圆形滤波器的梯度方向直方图特征。与传统基于积分直方图的梯度方向直方图特征提取方法相比,显著提高了旋转窗口中梯度方向直方图特征的计算效率,在计算每个像素的梯度时采用查找表代替梯度向量的求模和角度计算也减小了计算量。使用真实图像进行的实验表明,该车辆检测算法快速高效。     

离心机试验中惯导平台误差系数辨识方法

针对离心机试验中惯导平台误差系数辨识问题,提出一种6位置辨识方案。建立误差系数辨识的非线性模型,再利用扩展卡尔曼滤波估计误差系数。由滤波中的估值方差矩阵计算各误差系数之间的相关系数,用相关系数分析系统的可观性,并将所有相关系数之和最小作为优化指标,利用遗传算法得到最优的位置组合。仿真结果表明,采用该方案可以有效辨识出惯导平台中与加速度高阶项有关的各项误差系数。     

平流层飞艇抗风场干扰约束Unscented卡尔曼滤波算法设计与应用

为了提高风场干扰环境下飞艇的导航精度,研究飞艇抗风场干扰导航算法。在建立风场干扰条件下飞艇速度误差约束模型的基础上,设计抗风场干扰的约束Unscented卡尔曼滤波算法。确定风场干扰条件下飞艇的速度误差约束量,将该约束与Unscented卡尔曼滤波算法相结合,对速度误差进行估计和补偿,以减小风场对飞艇定位精度的影响;证明该算法的状态估计量不仅是无偏的,而且协方差小于标准Unscented卡尔曼滤波的协方差;将提出的算法应用于捷联惯导/天文/合成孔径雷达组合导航系统中进行仿真验证,并与自适应扩展卡尔曼滤波和抗差自适应Unscented卡尔曼滤波算法进行比较。结果表明:提出的约束Unscented卡尔曼滤波算法的滤波性能明显优于自适应扩展卡尔曼滤波和抗差自适应Unscented卡尔曼滤波算法,能够有效抑制风场对飞艇定位精度的影响,提高飞艇的导航定位精度。     

双天线干涉SAR系统无控制点场景的高精度参考相位快速估计算法

为解决无控制点场景参考相位的快速估计问题,对影响参考相位的因素进行理论分析,给出参考相位与影响因素的解析关系式。结合系统参数进行仿真分析,分析参考相位对高程误差的影响。根据分析结果,结合外部粗精度高程数据、滤波后的干涉相位及相干系数,提出高精度参考相位快速估计算法,并给出算法详细实现流程。对实际机载双天线干涉合成孔径雷达系统获取的数据进行处理,结果表明:算法在文中的系统参数下可以达到优于2 m的相对高程精度,处理4096×6560像素的数据块时,参考相位估计速度至少增大20倍。