Application of the modified Taylor approximation

In this paper we introduce and describe a new scheme for the numerical integration of smooth functions. The scheme is based on the modified Taylor expansion and is suitable for functions that exhibit near-sinusoidal or repetitive behaviour. We discuss the method and its rate of convergence, then implement it for the approximation of certain integrals. Examples include integrands involving Airy wave, Bessel, Gamma, and elliptic functions. The results, from the data in the tables, demonstrate that the method converges rapidly and approximates the integral as well as some well-known numerical integration methods used with sufficiently small step sizes.     

基于李雅普诺夫函数法的扩张状态观测器参数优化

针对ESO参数不易整定的问题,研究了扩张状态观测器(ESO)参数优化的李雅普诺夫函数法.首先建立关于误差的线性定常状态方程和误差指标函数J,在误差指标函数J中综合考虑了跟踪误差的权重和系统的稳定性以及实际运行时的饱和值限制等因素.仿真结果表明,此方法具有概念清晰,实用简便,计算量小的优点.所提ESO参数整定方法是有效的.     

边际函数的绝对连续性

本文给出边际函数的绝对连续性性质．     

Legacy system program transformation by Lyee methodology

Based on the comparative review of several approaches to legacy system conversion and revitalization, the Lyee methodology application for the issue is presented to clarify its idea, the associated procedure, and the implemented tools. It could be said that with the tools and manual developed by ICBSM&T, the mechanical transformation of the conventional program to a Lyee-structured one becomes possible as long as the programs are made in a procedure-oriented language. In addition to the program structure conversion, the Lyee methodology permits people to choose any application language in the transformed program. At the same time, quite a new approach related to the system conversion is introduced, in which the chunk of data extracted from an old program is edited to make a new conventional structure program that has a logical sequence instead of a Lyee type of declarative program. These features can be realized through the concept of LyeeBELT, which is a set of word-information about the attributes, formulae, and conditions for an independent data item.

The overall workflow of the legacy program transformation is shown in the following.

A critical part in its implementation is the feasibility study (pre-analysis) stage where necessary information is supposed to be secured, and an appropriate plan and policy about the system to be revitalized in the new system environment should be clarified so as to customize the tools accordingly. If the initial process is completed, the mechanical legacy system conversion will be realized by registering the parameters in the tool, and the reestablishment of business knowledge in the LyeeBELT will be enabled. With the regulated business logic on the LyeeBELT, the program maintenance afterwards becomes drastically simplified and stable without the ‘spaghetti’ problem, so that software evolution can be possible.     

Modelling and FDI of Dynamic Discrete Time Systems Using a MLP with a New Sigmoidal Activation Function

In this paper we investigate the use of the multi-layer perceptron (MLP) for system modelling. A new sigmoidal activation function is introduced and the study is focused at the utilization of this function on a MLP that performs modelling of dynamic, discrete time systems. The role of the activation function in the training process is investigated analytically, and it is proven that the shape of the activation function and it's derivative can affect the training outcome. The method is simulated at a well known benchmark, namely the three tank system, and is incorporated in a Fault Detection and Identification (FDI) method, also applied and simulated at the three tank system. Finally, a comparison is made with an approach that utilizes local model neural networks for system modeling.     

The Conditional Probability Density Function for a Reflected Brownian Motion

Models in economics and other fields often require a restricted Brownian motion because frequently implicit or explicit barriers restrict the domain. This paper contributes to the literature on reflected Brownian motion by deriving its conditional density function as a closed-form expression that consists of infinite sums of Gaussian densities. This solution is compared with an alternative, trigonometric expression derived earlier. Numerical analyses reveal that convergence properties of the expression derived in this paper are superior to those of the alternative representation for most practically relevant set-ups. Despite the complex appearance of the density formula, its use only requires fractions of a second on simple desktop computers such that, next to the theoretical appeal, also practicability is guaranteed.     

Analysis of Matrix-Convex Functions

The properties of matrix-convex functions, which may take values from an expanded numerical axis, are analyzed. Matrix convexity is specified by a pair of matrices, a final set of matrices, or an infinite family of matrices. The results obtained are used in the theory of differential games.     

基于双闭环控制的单端反激式多路隔离输出开关电源的实现

以UC3842电流型控制芯片为核心,以MOSFET IRFPG40作为功率开关器件,设计及研制了一种单端反激式、双闭环电流控制、5路稳定电压输出的40W开关稳压电源,用作于变频器逆变侧IPM模块的专用驱动电源以及其他外围电路工作电源,实验证明所设计的开关电源具有高稳定性。     

多重实时荧光定量聚合酶链式反应在芝麻酱掺假鉴别中的应用

目的 基于分子生物学技术,研究建立多重实时荧光定量聚合酶链式反应(Polymerase Chain Reaction,PCR)技术检测芝麻酱中的植物源性成分,实现芝麻酱的快速掺假鉴别,突破单标准单物种检测的局限性。方法 该研究以芝麻2S albumim mRNA基因、花生Ara b2基因、大豆Lectin基因、玉米adh1基因设计特异性引物和探针,优化反应体系,建立多重实时荧光定量PCR技术检测芝麻酱中的芝麻源性成分、花生源性成分、大豆源性成分、玉米源性成分,并应用于市售的芝麻酱样本检测分析。结果 该方法高效低成本,特异性好,对小米、绿豆等10种非目标源性成分无特异性扩增;对芝麻源性成分、花生源性成分、大豆源性成分、玉米源性成分的最低检出限为100 pg/μL,具有较高的灵敏度;应用建立的方法,对市售21份芝麻酱样本进行检测分析,检测结果与标签标注不符合的有4份,标签标注符合率80.95%,与参比方法检测结果一致。结论 建立的多重实时荧光定量PCR技术对加工成品的检测具有较好的适用性,为芝麻酱的掺假鉴别提供了一种新的分子生物学方法。     

Groundwork for creative research.

Examines the nature of and importance of creativity in scientists and relates these to the training functions in the university. (PsycINFO Database Record (c) 2010 APA, all rights reserved)