离散问题

Firstly, based on the stability criterion for the nominal discrete singular time-delay system, a sufficient condition for the existence of the static output feedback controller in terms of linear matrix inequality with linear matrix equality constraint is established, which ensures that the resulting closed-loop system is regular, causal and robustly asymptotically stable, and the static output feedback controller is designed by the feasible solution of the linear matrix inequality with linear matrix equality constraint.

首先基于标称离散广义时滞系统的稳定条件，以受限线性矩阵不等式形式，得到闭环离散广义时滞系统正则、因果且渐近稳定的充分条件，同时利用受限矩阵不等式的可行解给出静态输出反馈控制器的设计方法；然后采用矩阵的正交补，把求受限线性矩阵不等式的可行解问题转化为求严格线性矩阵不等式的可行解；最后的数值实例说明了所给方法的有效性和正确性。

Then a filled function method for the integer programming problem is proposed,which tries to find a better discrete local minimal solution of the problem by minimizing a filled function.

该方法通过寻找填充函数的离散局部极小解以期找到整数规划问题的比当前离散局部极小解好的解。该文的算法是直接法，数值试验表明算法是有效的。

The algorithm is proved to be convergent theoretically and implemented for numerical calculation.Thirdly, two kind problems of multi-unit system maintenance based on the discrete-state deterioration model are analyzed:To achieve the optimization aim of series system consist of two types of units with different failure mode, an opportunistic policy is presented to combine the corrective and condition-based maintenance. The optimal model based on this policy is built and an iteration algorithm based on sequential decision is proposed according to the characteristic of discrete-state deterioration model.

第三、在部件优化分析的基础上，针对基于离散状态劣化模型的多部件系统视情维修决策中的两类典型问题，提出了相应的机会维修策略和优化分析方法：(1)针对串联系统由分别采用视情维修和事后维修的两类部件组成的情况，提出了一类事后维修与视情维修相结合的机会策略，建立了相应的多部件系统维修优化模型，并根据离散状态劣化模型的特点，提出了一类基于序贯决策的求解方法。

Based on the relationship between matrix and symmetric matrix global exponential stability of the discrete-time neural networks model and the result of exponential convergence rate were obtained by using the characteristics of eigenvalues of a positive definite matrix and introducing a proper factor.

针对带有边界约束的凸二次规划问题，利用离散神经网络模型的建模原理，构造了一个神经网络模型。利用矩阵与对称矩阵的关系和正定矩阵特征值的性质，通过引入一个适当的因子，得到了该离散型神经网络模型是全局指数稳定性和指数收敛率的结果。同时分析了该结果的优越性和存在的不足，提出了解决的3种方法，最后给出了实例说明本方法取得结果的实用性

Then, using the second-order central difference to discretize the time derivative of the displacement, and applying the quadrature formula to the mass matrix, a fully discrete lumped mass Morley element method i...

然后利用中心差分格式离散时间方向的二阶导数，再利用适当的求积公式得到薄板弯曲问题的集中质量Morley元全离散格式。

In particular, they present an open problem: the characterization of the representable discrete polymatroids, that is, which discrete polymatroids are representable?

在文中，他们给出了一个开放性问题：可表示的离散多拟阵具有的特性，即哪些离散多拟阵是可表示的，哪些是不可表示的。

Taking advantage of retractility and time-delay characteristics of wavelet, this paper solves the problems of fixed resolving power and large redundance of the information caused by traditional sonogram analysis by choosing the scale of wavelet correctly.

本文将离散小波变换应用于蝙蝠回声定位叫声的分析中，利用小波的伸缩和时移特性，通过对小波尺度的适当离散，解决了传统语谱分析的分辨率固定、信息冗余量大的问题。

To solve this problem, the weighting-discreteness method is introduced for speech recognition in this paper.

为了解决这一问题，本文引入了权函数及离散度的概念，提出了语音识别的加权离散度方法。

In the numerical study, the governing equations of flow and heat transfer in 3 —D body—fitted curvilinear coordinate system being automaticly generated with TTM method were deduced by means of vector and tensor analysis. These equations were dliscreted with nonstaggered grids providing relative elimilating method for the pressure oscillation was domonstrated.

在数值分析中，借助于矢量理论和张量分析，导出了具有普遍意义的三维任意曲线坐标系下的流动传热控制方程，并利于TTM方法生成了计算域的贴体曲线坐标网格；在数值离散过程中，尝试了用非交错网格离散的方法并解决了压力场振荡的抑制问题；运用附面层理论，阐述了壁面函数法在三维任意曲线坐标系上的应用。

According to extensive sensitivity analysis, this method has a good stability and can solve the unposed problem which often appears in inverse problem.

并用该方法构造了参数识别的有限元迭代格式，及进行了离散，得出了伴随方程定解问题和参数扰动梯度的离散公式。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。