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     

冗余捷联惯组信息容错管理算法

对于单机多表斜置冗余捷联惯组的故障诊断、隔离和重构,提出无迹卡尔曼滤波结合三交叉容错融合方法。考虑各误差项,对不同的冗余配置建立统一数学模型。通过三交叉重构模型的设计可快速隔离一度故障并输出正确结果,对被隔离的故障表各误差系数采用无迹卡尔曼滤波方法标定,可辨识因误差系数改变而引起的软故障。以单机五陀螺的两种误差系数软故障为例仿真验证了冗余捷联惯组信息容错管理算法的正确性。     

预警机指挥多机群空战的协同战术决策

分析了预警机指挥下的多机群协同空战的战术决策方法,建立起了它的战术编队、威胁评估以及目标分配模型,并进行了仿真计算,结果表明此战术决策方法对于提高多机群协同空战的作战效能有着显著的作用,对于未来无人作战飞机多编队协同作战也具有很好的参考价值.     

自主式UCAV火控算法与系统设计

介绍了一种改进的CCRP轰炸瞄准原理,给出了其数学模型和瞄准原理公式,分析、说明了其瞄准原理和特点.根据自主式无人战斗机的特点、任务、要求,运用此原理,进行了系统设计,确定了火飞耦合控制律.研究和仿真结果表明:该原理正确,所述的火控算法和设计的控制律合理,为进一步开展自主式UCAV的研究和设计打下了基础.     

Research on simultaneous localization and mapping for AUV by an improved method: Variance reduction FastSLAM with simulated annealing

At present, simultaneous localization and mapping (SLAM) for an autonomous underwater vehicle (AUV) is a research hotspot. Aiming at the problem of non-linear model and non-Gaussian noise in AUV motion, an improved method of variance reduction fast simultaneous localization and mapping (FastSLAM) with simulated annealing is proposed to solve the problems of particle degradation, particle depletion and particle loss in traditional FastSLAM, which lead to the reduction of AUV location estimation accuracy. The adaptive exponential fading factor is generated by the anneal function of simulated annealing algorithm to improve the effective particle number and replace resampling. By increasing the weight of small particles and decreasing the weight of large particles, the variance of particle weight can be reduced, the number of effective particles can be increased, and the accuracy of AUV location and feature location estimation can be improved to some extent by retaining more information carried by particles. The experimental results based on trial data show that the proposed simulated annealing variance reduction FastSLAM method avoids particle degradation, maintains the diversity of particles, weakened the degeneracy and improves the accuracy and stability of AUV navigation and localization system.     

Influence of active constrained layer damping on the coupled vibration response of functionally graded magneto-electro-elastic plates with skewed edges

This article makes the first attempt in assessing the influence of active constrained layer damping (ACLD) treatment towards precise control of frequency responses of functionally graded skew-magneto-electro-elastic (FGSMEE) plates by employing finite element methods. The materials are functionally graded across the thickness of the plate in terms of modest power-law distributions. The principal equations of motion of FGSMEE are derived via Hamilton’s principle and solved using condensation technique. The effect of ACLD patches are modelled by following the complex modulus approach (CMA). Additionally, distinctive emphasis is laid to evaluate the influence of geometrical skewness on the attenuation capabilities of the plate. The accuracy of the current analysis is corroborated with comparison of previous researches of similar kind. Additionally, a complete parametric study is directed to understand the combined impacts of various factors like coupling fields, patch location, fiber orientation of piezoelectric patch in association with skew angle and power-law index.     

MABAC method for multiple attribute group decision making under q-rung orthopair fuzzy environment

As the generalization of intuitionistic fuzzy set (IFS) and Pythagorean fuzzy set (PFS), the q-rung orthopair fuzzy set (q-ROFS) has emerged as a more meaningful and effective tool to solve multiple attribute group decision making (MAGDM) problems in management and scientific domains. The MABAC (multi-attributive border approximation area comparison) model, which handles the complex and uncertain decision making issues by computing the distance between each alternative and the bored approximation area (BAA), has been investigated by an increasing number of researchers more recent years. In our article, consider the conventional MABAC model and some fundamental theories of q-rung orthopair fuzzy set (q-ROFS), we shall introduce the q-rung orthopair fuzzy MABAC model to solve MADM problems. at first, we briefly review some basic theories related to q-ROFS and conventional MABAC model. Furthermore, the q-rung orthopair fuzzy MABAC model is built and the decision making steps are described. In the end, An actual MADM application has been given to testify this new model and some comparisons between this novel MABAC model and two q-ROFNs aggregation operators are provided to further demonstrate the merits of the q-rung orthopair fuzzy MABAC model.     

马尔可夫随机场中应用蚁群系统的红外图像分割

利用蚁群系统(ACS)的信息正反馈和启发式的搜索特点,针对马尔可夫随机场(MRF)图像模型的局部相关特性和最大后验概率(MAP)估计,可以在较短时间内得到图像分割目标函数的全局最优解,从而可以避免传统模拟退火算法的庞大时间复杂度.通过对军用红外图像的分割实验,可以看出这种算法能够在抗噪声、保留目标边缘和降低时间复杂度方面得到较满意的结果.     

基于NSGA-Ⅱ的WTA多目标优化(英文)

将多目标遗传算法NSGA-(改进的非支配排序遗传算法)应用于求解武器-目标分配(WTA)问题。首先,针对以往在建立防空型WTA问题的优化模型上的片面性,把WTA问题看做多目标优化问题,建立了综合考虑作战效能和防御效能的WTA双目标优化模型。然后在此基础上,研究和应用了NSGA-来求解WTA问题。最后由仿真算例验证了NSGA-在WTA问题中的应用可行性,表明了NSGA-可以快速地搜索到WTA多目标优化的Pareto最优解集,从而为求解WTA问题提供了一条有效途径。     

基于快速独立分量分析的异步多用户检测方法

深入分析了非理想功率控制下异步CDMA多用户接收机的信号特点,推导出了多小区接收信号模型。提出了基于快速独立分量分析(Fast Independent Component Analysis,FastICA)的异步多用户检测方法,该方法具有抗远近效应,抗多址干扰的能力。仿真结果表明:该算法具有迭代次数少、计算量小、多用户分离效果好的优点,非常适合于非理想功率控制下的多用户检测,该方法大大提高了非理想功率控制下多用户接收机的性能。