一类双重退化抛物型方程的Cauchy问题

研究一类双重退化抛物型方程的Cauchy问题, 给出了弱解 熵解的定义, 并借助于正则化问题利用补偿紧致定理证明了问题熵解的存在性, 利用双变量方法得到这种弱解的稳定性.     

时变脉冲微分方程初值问题解的存在性

首先给出了脉冲微分方程初值问题的解与相对应的常微分方程初值问题的解之间的关系,然后利用常微分方程理论讨论了一类时变脉冲微分方程初值问题,并在相对较弱的条件下建立了解的存在性定理,所得解允许和某些Sk相遇多次,推广了相关问题的已有结果.     

Mur二阶吸收边界条件两种差分格式的比较

从理论上比较了时域有限差分法的Mur二阶吸收边界条件两种差分格式的计算精度、实现难度等,得出了直接格式计算精度较高但实现难度略大的结论.数值实验证实了上述结论.     

局部凸空间非线性脉冲Volterra型积分方程解的存在性

利用局部凸空间中非紧性测度的基本性质,推广了一个不动点定理,然后应用此定理研究了局部凸空间中一类非线性脉冲Volterra型积分方程解的存在性,推广了已有文献的结果.     

一类高阶微分方程组的非允许解

利用亚纯函数的Nevanlinna值分布理论及反证法,讨论了一类高阶复微分方程组非允许解的存在性问题,给出这类方程组存在非允许解的条件,并通过例子说明这一结果的可行性.     

Forecasting for the LCD monitor market

The TFT‐LCD (thin‐film transistor–liquid crystal display) industry is one of the key global industries with products that have high clock speed. In this research, the LCD monitor market is considered for an empirical study on hierarchical forecasting (HF). The proposed HF methodology consists of five steps. First, the three hierarchical levels of the LCD monitor market are identified. Second, several exogenously driven factors that significantly affect the demand for LCD monitors are identified at each level of product hierarchy. Third, the three forecasting techniques—regression analysis, transfer function, and simultaneous equations model—are combined to forecast future demand at each hierarchical level. Fourth, various forecasting approaches and disaggregating proportion methods are adopted to obtain consistent demand forecasts at each hierarchical level. Finally, the forecast errors with different forecasting approaches are assessed in order to determine the best forecasting level and the best forecasting approach. The findings show that the best forecast results can be obtained by using the middle‐out forecasting approach. These results could guide LCD manufacturers and brand owners on ways to forecast future market demands. Copyright 2008 John Wiley & Sons, Ltd.     

非线性系统的模糊辨识在线算法

在以往的模糊辨识方法中,均未给出在线调整非线性系统的模糊辨识算法。基于递推模糊聚类方法,提出了一种在线调节模糊模型的辨识算法。为了验证所提出方法的有效性,对几个非线性系统进行了辨识,最后给出了辨识结果。     

THE SELF-STABLE REGION APPROACH FOR SECOND ORDER SYSTEMS

1.IntroductionThecolltrolproblemofnonlinearuncertainsystemshasbeenextensivelyresearchedformanyyears.Manymethodshavebeenproposedandsomeprogresshasbeenmade.[1]poiedsoutthatsomesecondordersystemshaveaninherelltpropertythatthereexistscertainregioninwhichalltrajectoriesofthesystemremaininginitaftercertaintimeTwillconvergetotheorigin.Basedonthisproperty,anewapproachhajsbeenputforwardtoconstructacolltinuousfeedbacklawsuchthatallsystem'strajectoriesmovetowardtheregionandeventuallyremaininit.In[2,3],a…     

An Adaptive Identification and Control Scheme Using Radial Basis Function Networks

1.INTaODUCTIONThemultilayerfeedforwardneuralnetworks(MFNN)hasbeenwidelyappliedinmanyfieldssuchaspatternrecognition,nonlinearoptimization,systemidentificationandcontrol.Thesimpleback-propagation(BP)learningalgorithmisusuallyadoptedtoupdateitsweights.TheBPalgorithm,however,suffersdrawbacksofslowconvergenceandunpredictablesolutionsduringlearning.Althoughmailyapproachessuchasvariablestepsize,conjugategradient,pseudo-Newtonmethods[4]andothermethods[3,10],havebeendevelopedtoovercometheproble…     

二维发汗控制方程的直线解法及其收敛性

对二维发汗控制方程建立了直线解法,可用任何解常微分方程组的数值方法求解。对固定边界（非烧蚀）和活动边界（烧蚀）情形分别进行讨论。在某些假定下给出了直线法的收敛性。