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The application of the lattice Boltzmann method in unsteady open channel flows was studied in detail in the paper. An existing lattice BGK model was mended; For the problem of negative local equilibrium and evolutionary distribution, we proposed a lattice Boltzmann model based on cell-population equilibrium, which is a direct non-negative approximation to the continuous Maxwell distribution. The model reduces the transport and collision, two basic evolution steps in the LB model, to transport of the non-equilibrium distribution.

本文系统的研究了格子Boltzmann 方法在明渠非恒定流中的应用问题,改进了一个现有的LB 模型,数值实验表明此改进是有效的;在平衡态分布函数及分布函数的非负性问题上,作者提出了一个基于单元均衡的格子Boltzmann 模型,通过直接对Maxwell 分布函数的离散化实现对速度分布函数的非负离散,这种方法将传统模型演化过程中的碰撞和输运两个步骤直接表现为粒子的输运。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题,得到了两个基于Delta算子的Riccati方程,设计了Delta域的输出反馈控制器,使得闭环系统内稳定,且满足从w到z的传递矩阵T_的H_2范数最小,设计了基于Delta算子描述下的离散系统的最优控制器,并与S域和Z域的H_2控制器进行了比较。

In response to signals and system simulation studies, MATLAB also demonstrated its strong role, with MATLAB simulation for the time signal convolution, discrete, continuous LIT system of time-domain analysis, synthesis and periodic signal of decomposition, the bi-frequency system Domain analysis, signal modulation and demodulation, discrete systems, the Z-domain analysis.

在信号与系统仿真响应的研究中,MATLAB也体现其强大的作用,用MATLAB仿真连续时间信号的卷积计算,离散、连续LIT系统的时域分析、周期信号的合成与分解、系统的复频域分析、信号的调制与解调,还有离散系统的Z域分析。

The auxiliary technologies for hexahedral mesh generation are studied thoroughly in this article. The technologies mainly cover the parametric description of three-dimensional geometric solid boundary, the controlling of mesh precision by imposing maximum geometric discretization error, the topology analysis of mesh, the optimization of node labeling and the display of mesh with removed hidden lines.

对六面体网格生成的辅助技术进行了较深入的研究,其中主要讨论了三维空间几何实体边界的参数化描述、利用最大几何离散误差来控制网格的离散精度、在对网格的拓扑关系进行正确分析的基础上提出改进的节点编号优化算法以及快速的网格消影显示等技术。

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。

A systematic study on computing the integral curvature line on NURBS surface is presented. Discrete normal is used to simplify calculation of the second fundamental form of the surface, resulting in accelerating the Euler iteration process in solving the differential equation of curvature line. Discrete points on the curvature line are then obtained and approximated by an explicitly presented B-spline curve on the NURBS surface using singular mixed interpolation and capable of controlling the error within a given tolerance.

对NURBS曲面的曲率线的积分进行了系统的公式推导,并利用NURBS曲面的离散法向量有效地简化了曲面第二基本量的计算,加速了Euler法迭代求解曲率线微分方程的过程;在求得曲率线上的离散点集以后,应用奇异混合插值技术,在可控精度内把曲率线用显式直接表示为位于NURBS曲面上的B样条曲线。

The present paper introduced one kind of brand-new transformer measured the warm far biography method -separate method, it has abandoned the tradition the transformer temperature signal by in the remote survey way the biography, the demonstration mentality, but is fully excavates the existing dispatch monitoring automated system the function, the scene transformer temperature signal through the self-made temperature converter, transforms with the transformer temperature correspondence discrete magnitude, far passes to through the RTU remote letter signal the dispatch monitoring end, carries on the demonstration again in the dispatch end using the monitoring software corresponding formula inversion for the warm measure.

本论文介绍了一种全新的变压器测温远传方法-离散法,它摒弃了传统的将变压器温度信号以遥测量的方式上传、显示的思路,而是充分发掘现有调度监控自动化系统的潜在能力,将现场变压器温度信号通过自制的温度变换器,转换成与变压器温度对应的离散量,通过RTU遥信信号远传到调度监控端,在调度端利用监控软件相应的公式再反演为温度量。

The discrete velocity ordinate method in the kinetic theory of gases is developed and applied to discretize the correspo

借助非定常时间分裂法和无波动无自由参数的NND耗散格式,建立直接求解微观分子速度分布函数的有限差分数值格式;研究并发展可用于离散速度坐标点选取和离散速度空间宏观取矩的高斯─埃尔米特无穷积分方法、等均间隔的牛顿─柯斯复合积分法、以勒让德多项式的根为积分结点的高斯─勒让德数值积分法,并应用于不同马赫数绕流模拟;通过对不同流域一维激波管问题、二维圆柱绕流问题和三维球体绕流的计算研究,并将计算结果与其他途径得到的研究结果诸如DSMC模拟值、N-S解及有关实验数据进行比较分析,创建了一套能有效模拟稀薄流到连续流不同流域气体流动问题简化的统一数值算法研究框架

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

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