多值非扩张非自映射的强收敛定理

对多值非扩张映射构造了两个迭代算法,在自反且严格凸Banach空间中证明了强收敛定理。研究结果推广了Matsushita-Takahashi的结果。     

复合Halpern迭代逼近可数个增生映像的公共零点

设E是严格凸和自反的实Banach空间且其范数是一致Gateaux可微的,K是E中非空闭凸子集,Ai：K→E（i∈N）是m-增生映像且公共不动点集非空,u∈K是给定点,X1∈K是任一初始点,{αn}^∞ n=1、{β}^∞ n=1是[0,1]中的实数列且满足如下条件：（i）lim n→∞αn=0,∑^∞ n=1 αn=∞,∑^∞ n=1｜αn＋1－αn｜〈∞;（ii）lim n→∞βn=0,∑^∞ n=1｜βn＋1－βn｜〈∞。设{Xn}^∞ n=1是由下面复合Halpern格式定义的迭代序列：{yn=βnXn＋（1-βn）SXn,n≥0 Xn＋1=αnu＋（1-αn）yn其中S=∑∞ i=1ξiJAi,JAi=（1＋Ai）^-1（i∈N）,那么{Xn}∞ n=1强收敛于{Ai}i∈N的公共0点。本文的结果改进和推广了Zegeye和Shahzad,Ofoedu以及其他作者的相应结果。     

Dual attitude and parameter estimation of passively magnetically stabilized nano satellites

The attitude determination capability of a nano satellite is limited by a lack of traditional high performance attitude sensors, a result of having small budgets for mass and power. Attitude determination can still be performed on a nano satellite with low fidelity sensors, but an accurate model of the spacecraft attitude dynamics is required. The passive magnetic stabilization systems commonly employed in nano satellites are known to introduce uncertainties in the parameters of the attitude dynamics model that cannot easily be resolved prior to launch. In this paper, a batch estimation problem is formulated that simultaneously solves for the attitude of the spacecraft and performs parameter estimation on the magnetic properties of the magnetic materials using only a measurement of the solar vector. The estimation technique is applied to data from NASA Ames Research Center's O/OREOS nano satellite and the University of Michigan's RAX-1 nano satellite, where clear differences are detected between the magnetic properties as measured before launch and those that fit the observed data. To date this is the first known on-orbit verification of the attitude dynamics model of a passively magnetically stabilized spacecraft.     

基于AT89S52的软件凸轮机构的研究

软件凸轮通过对产生凸轮轮廓的软件控制步进电机实现机械凸轮的功能,根据类速度的概念,建立了软件凸轮通电脉冲频率与凸轮机构从动件运动规律之间的数学模型。使用AT89S52单片机控制步进电机运动,从而实现了在不改变硬件系统的条件下,通过改变AT89S52单片机应用程序实现从动件不同的运动规律,即软件凸轮。提出了将类速度的概念应用于建立凸轮从动件运动规律的数学模型的新设想,其可行性已被初步的试验证实。     

一种凸多边形区域的无人机覆盖航迹规划算法

 覆盖航迹规划技术对于提高无人机的侦察能力和目标搜索能力具有重要的意义。首先从能量、路程、时间角度,理论上证明了转弯过程比直线平飞过程的效率低。其次给出了凸多边形跨度和宽度的定义,并把凸多边形区域的覆盖航迹规划问题转化为求凸多边形宽度的问题。最后证明了凸多边形区域的宽度只可能出现于“点边式”跨度之中,并给出了一种高效的“点边式”宽度算法。无人机只需要沿着宽度出现时的支撑平线方向飞行,即可以取得最少的转弯次数。通过仿真分析,证明了所提出的算法能够有效解决无人机在凸多边形区域中的覆盖航迹规划问题。     

基于群决策层次分析法的 潜射反舰导弹武器系统作战效能评估

文章着眼于潜射反舰导弹武器系统组成和作战过程,构建了较为全面的武器系统作战效能评估指标体系,应用群决策方法对层次分析法进行改进,采用Hadamard乘法凸组合对不同专家的判断矩阵进行集结来确定指标权重,克服了传统层次分析法易受个人偏好影响、评价结果不够客观的弊端。同时,针对效能指标的模糊、不确定性,运用灰色系统理论进行定量化处理,实现了定性与定量评估的转换,建立了集中群决策层次分析法和灰色理论两者优点的效能评估方法。实例表明,该方法切实可行,能够提高评估的准确性。     

5坐标加工中干涉检测的凸包算法研究

提出了运用凸包法解决在五坐标中加工干涉的算法.在干涉检测中用了一种算法,即快速检测法,快速检测法通过使用曲面的控制网格获得刀具的可行位置.在快速检测中,根据参数曲面的凸包特性粗检现行的刀具方向与凸包之间是否存在干涉,若不存在,则刀具方向是可行的;否则,则不可行.     

Reachable set modeling and engagement analysis of exoatmospheric interceptor

A novel reachable set(RS) model is developed within a framework of exoatmospheric interceptor engagement analysis. The boost phase steering scheme and trajectory distortion mechanism of the interceptor are firstly explored. A mathematical model of the distorted RS is then formulated through a dimension–reduction analysis. By treating the outer boundary of the RS on sphere surface as a spherical convex hull, two relevant theorems are proposed and the RS envelope is depicted by the computational geometry theory. Based on RS model, the algorithms of intercept window analysis and launch parameters determination are proposed, and numerical simulations are carried out for interceptors with different energy or launch points. Results show that the proposed method can avoid intensive on-line computation and provide an accurate and effective approach for interceptor engagement analysis. The suggested RS model also serves as a ready reference to other related problems such as interceptor effectiveness evaluation and platform disposition.     

基于遗传算法的凸多边形区域航迹规划

提出了基于遗传算法的凸多边形区域航迹规划方法,针对飞行器转弯角和边界限制的航迹约束条件,改进了航迹编码方式,采用了基于方向编码的回溯方法生成航迹;同时改进了遗传算法的交叉算子和变异算子。仿真结果表明,该方法能快速有效地完成飞行器航迹规划任务,获得符合适应度要求的优化航迹。     

顾及星像点分布的恒星相机在轨检校

由于卫星发射前后以及在轨运行过程中,环境因素的变化都可能引起恒星相机参数发生改变,从而导致星敏感器姿态测量精度下降.将多片空间后方交会方法应用于恒星相机的在轨检校.在利用该方法检校时,实验发现检校结果的精度受到参与检校的恒星影像上星像点分布的影响,由此进一步提出了凸包面积百分比准则,该方法自动选取分布较好的影像用于检校,有助于提高检校精度.实验结果证明:基于后方交会进行恒星相机在轨检校时,利用凸包法选取的影像片进行检校的精度明显优于未选片时检校的结果.