一种解释结构模型的优化算法研究

解释结构模型被广泛应用于医疗、教育等领域,但相关理论发展较为缓慢。为加快解释结构模型的计算速度,丰富解释结构模型相关理论,通过对系统各要素所对应有向图的本质关系进行分析,对该模型中的级间划分方法作更深一步解析并给出优化算法,发现有向图中若不存在回路,则有向图汇点对应的是最高级要素集合中的要素,因此汇点可以从缩减可达矩阵中直接找出,从而能对复杂系统要素更快地进行分层。对应的优化算法相比传统方法减少了一倍左右的计算量,并通过实证分析进行验证。该研究结果为解释结构模型方法优化提供了一种新诠释。     

一维介观环链中电子输运研究

利用量子波导理论导出了一维介观环链的透射率,并给出了透射率随着入射能量关系变化的曲线.     

一类6-正则循环图的点色数

运用图的分数染色讨论了一类6-正则循环图的顶点染色,得到了邻接矩阵的首行具有形式(01110…0111)的n阶循环图G点色数:X(G)={4,4|n5,其它.     

开通公交客运班线的模糊聚类决策方法

文章针对公交客运班线开通时出现的状况区分不确切、边界不清楚的情况，引入了模糊聚类分析方法，将模糊情况问题进行了定量化和数学化。本文是因实际案例而产生的，而案例本身也验证了该方法的有效性和独到性。     

“两微一端”视野下高职思想政治教育的“矩阵式”体系重构

高职院校如何利用学生信息接触来源的"两微一端"来展开教育工作,通过"两微一端"来对校园微传播圈的思想政治教育进行重构,成为教育者们所思考的问题。要将"两微一端"打造成一个集思想政治教育、学生服务、心理关怀、就业指导、学生管理、交流互动等功能的平台,渗透到高校思想政治教育场域中,形成校园微传播圈子系统,以此达成对传统高校思想政治教育生态场域的改变。本文以"两微一端"的"矩阵式"重构为切入点,聚焦高职思想政治教育,强化大学生个体行为激励动机和集体行动的协调机制,破解高校新媒体整合发展面临的瓶颈问题,夯实新媒体整合发展基础,探寻"两微一端"视野下高校思想政治教育的有效模式及实践路径。     

Application of Single—to—Single Phase Matrix Conversion in Conventional Rectifier—Inverter

The principkle of Single-to-single phase matrix electric power conversion is further studied and the conversioin swith function is introduced into conventional rectifier-inverter,thus a general character of the two conversion techniques is discovered.It is characteristic of the switch functiion to follow mains voltage distrotion and mains frequency drift,By utilizing the merit,unidrectional switch duty-rations of the inverter follow the variation of DC-link voltage automatically,thus the size of DC-link electrolytic capacitor can be redued considerably,bringing about improved mains side power factor.Corresponding topologies and theoretical and theotor can be reduced considerably,bringing about improved mains side power factor,Corresponding topologies and theortical and theoretical derivations are given,and so are the simulation results,based on which it is confirmed that the single-to-single phase matrix conversion technique is potentially useful in large scale production,and the introduction of switch function can yield good economic returns.     

二阶矩阵降秩与满秩的数量估计

运用概率方法,给出了二阶矩阵降秩与满秩的数量估计.基于这一结论,估计出了随机给出的二平面直线相交的可能性大小.     

矩阵的初等变换及推广

讨论了矩阵的三种初等变换的关系，可逆矩阵可写成Di（k）、Tij（k）两种类型初等矩阵的乘积，以及初等变换在分块矩阵中的简单应用．     

Stability analysis of discrete-time BAM neural networks based on standard neural network models

To facilitate stability analysis of discrete-time bidirectional associative memory (BAM) neural networks, they were converted into novel neural network models, termed standard neural network models (SNNMs), which interconnect linear dynamic systems and bounded static nonlinear operators. By combining a number of different Lyapunov functionals with S-procedure, some useful criteria of global asymptotic stability and global exponential stability of the equilibrium points of SNNMs were derived. These stability conditions were formulated as linear matrix inequalities (LMIs). So global stability of the discrete-time BAM neural networks could be analyzed by using the stability results of the SNNMs. Compared to the existing stability analysis methods, the proposed approach is easy to implement, less conservative, and is applicable to other recurrent neural networks.     

Nonlinear model predictive control with guaraneed stability based on pesudolinear neural networks

A nonlinear model predictive control problem based on pseudo-linear neural network (PNN) is discussed, in which the second order on-line optimization method is adopted. The recursive computation of Jacobian matrix is investigated. The stability of the closed loop model predictive control system is analyzed based on Lyapunov theory to obtain the sufficient condition for the asymptotical stability of the neural predictive control system. A simulation was carried out for an exothermic first-order reaction in a continuous stirred tank reactor. It is demonstrated that the proposed control strategy is applicable to some of nonlinear systems.