分段函数在分界点求导的一种简单的方法

介绍了用多项式根的性质与导数极限定理求分段函数在分界点的导数的简单方法。从而拓广了用导数定义求分界点导数的传统方法     

加强成人《高等数学》的习作解题指导

教学中指导学生正确使用数学符号、正确运用基本概念、正确运用函数图象以及探索解题思路等 ,可以提高成人《高等数学》的教学质量 ,也可以提高统考的及格率     

基于神经网络的舰船建造费用预测分析

采用了一种基于神经网络的舰船建造费预测方法 .计算结果表明 ,这种方法与传统的参数法相比较 ,有更好的估算精度 ,因而该方法可以作为研究此类问题的新途径     

去调频处理中空变相位误差补偿方法

调频连续波具有较长的脉宽和较大的信号带宽,通常采用去调频的处理方式,但是,去调频的处理会引入空变的相位误差。从去调频的处理方式入手,根据发射信号相位误差缓变的特点,提出了依据发射信号相位误差模型补偿空变相位误差的方法,并在理论上对该方法进行了推导。该补偿方法分为两步,从差频信号中去除发射信号相位误差,在残余视频相位误差校正之后,通过与补偿函数相乘去除剩余的相位误差。仿真和实测的实验结果表明,该方法能够克服目标距离的限制,有效地补偿空变相位误差带来的影响,提高脉压水平。提出的误差补偿方法能够很好地平衡系统负载、误差补偿精度和算法开销,具有较强实用性。     

Optimal (τ, T) opportunistic maintenance of a k‐out‐of‐n:G system with imperfect PM and partial failure

The opportunistic maintenance of a k‐out‐of‐n:G system with imperfect preventive maintenance (PM) is studied in this paper, where partial failure is allowed. In many applications, the optimal maintenance actions for one component often depend on the states of the other components and system reliability requirements. Two new (τ, T) opportunistic maintenance models with the consideration of reliability requirements are proposed. In these two models, only minimal repairs are performed on failed components before time τ and the corrective maintenance (CM) of all failed components are combined with PM of all functioning but deteriorated components after τ; if the system survives to time T without perfect maintenance, it will be subject to PM at time T. Considering maintenance time, asymptotic system cost rate and availability are derived. The results obtained generalize and unify some previous research in this area. Application to aircraft engine maintenance is presented. © 2000 John Wiley & Sons;, Inc. Naval Research Logistics 47: 223–239, 2000     

Optimal policies for M/M/m queue with two different kinds of (N,T)‐policies

In this paper, two different kinds of (N, T)‐policies for an M/M/m queueing system are studied. The system operates only intermittently and is shut down when no customers are present any more. A fixed setup cost of K > 0 is incurred each time the system is reopened. Also, a holding cost of h > 0 per unit time is incurred for each customer present. The two (N, T)‐policies studied for this queueing system with cost structures are as follows: (1) The system is reactivated as soon as N customers are present or the waiting time of the leading customer reaches a predefined time T, and (2) the system is reactivated as soon as N customers are present or the time units after the end of the last busy period reaches a predefined time T. The equations satisfied by the optimal policy (N*, T*) for minimizing the long‐run average cost per unit time in both cases are obtained. Particularly, we obtain the explicit optimal joint policy (N*, T*) and optimal objective value for the case of a single server, the explicit optimal policy N* and optimal objective value for the case of multiple servers when only predefined customers number N is measured, and the explicit optimal policy T* and optimal objective value for the case of multiple servers when only predefined time units T is measured, respectively. These results partly extend (1) the classic N or T policy to a more practical (N, T)‐policy and (2) the conclusions obtained for single server system to a system consisting of m (m ≥ 1) servers. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 240–258, 2000     

线性离散系统全阶比例积分观测器设计研究

针对线性离散系统 ,研究了状态方程和测量方程均包含未知输入干扰的状态估计问题 ,提出了一种新的状态观测器 (全阶比例积分观测器 )的设计方法。给出了这种观测器的存在条件。仿真结果显示了全阶比例积分观测器的良好性能。     

高精度分数时延滤波器设计的边界拟合Remez算法

在卫星星间测距模拟信号仿真及实际测试中,为提高测距模拟信号精度和系统可用带宽,提出基于边界拟合Remez算法的高精度分数时延滤波器的设计算法。该算法利用Farrow结构的多项式近似思想,采用多项式拟合Remez算法设计滤波器的冲激响应边界系数,通过多相分解实现分数时延滤波器组。该算法改善了当设计的滤波器阶数较高时冲激响应边界的不连续现象,进而降低了群时延误差,提高了精度。仿真结果表明,该算法设计的滤波器的分数时延精度得到了提高,同时系统可用带宽提高近一倍,实现时需使用的乘法器数目也有明显降低。     

几类特殊多叶函数的极值点和支撑点

设S(p,α)、C(p,α)及K(p,α)分别表示α阶的p 叶星像、凸像和近于凸函数族。本文对这些函数族的支撑点和S(p,α)的从属函数族的极值点和支撑点进行了研究,推广了Grassmann 和Perera 等人的结果。     

一种新的保持分形特征的分形变形方法

针对IFS吸引子变形过程中间出现的分形特征退化的问题,提出基于局部吸引子的近似凸包及旋转匹配的特征对应方法.IFS吸引子的局部吸引子可由独立的IFS生成,IFS中每个压缩仿射映射存在不动点,构造所有不动点的凸包,即得到局部近似凸包;证明了局部近似凸包间的相似对应等价于局部吸引子间的相似对应,并提出了通过旋转匹配的特征对应方法实现局部近似凸包的配对,最后计算所有配对下相似度最高的一组局部近似凸包匹配,确定局部吸引子间的特征对应,即IFS特征对应.对两个IFS进行线性插值可实现保持分形特征的分形变形.