分数阶累加GM(1,1)模型解之间的误差分析

来源 :第28届全国灰色系统学术会议 | 被引量 : 0次 | 上传用户：zhangersong

【摘要】

：

【作者】

：

高明运毛树华

【机构】

：

武汉理工大学理学院,中国武汉 430070 武汉理工大学理学院,中国武汉 430070;武

【出处】

：

第28届全国灰色系统学术会议

【发表日期】

：

2016年6期

【关键词】

：

灰色系统分数阶累加GM(1 1)模型白化型内涵型时间项因子误差分析

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

本文考虑分数阶累加GM(1,1)模型与GM(1,1)模型间的变换关系,论述分数阶累加GM(1,1)模型的两种形式(白化型FAGM(1,1,W)和内涵型FAGM(1,1,C)).分析两种形式模型的解,从理论上讨论了两个模型解间的相对误差.将两个模型解进行展开,得到时间项因子和常数项,发现两类模型解间的误差主要由时间项因子决定.通过建立时间项因子间相对误差与发展系数和序列长度间的函数关系,定量分析了相对误差与发展系数和序列长度间的关系.本文以时间项因子相对误差上界为5％为例,在不同序列长度条件下,分别计算出模型发展系数临界取值.最后结合3个实例,验证了模型预测值的误差依赖于模型时间项预测值间误差,说明本文研究成果为实际建模使用白化型模型解代替内涵型解提供参考依据.

其他文献

Chemical Conversion Based on the Renewably-Derived Platform Compound(-)-Methyl 3-Dehydroshikimate(3-

(-)-Methyl 3-dehydroshikimate(3-MDHS)is a multi-functionalized and readily transformable platform compound which derived from the renewable biomass(-)-shikimic acid,the water soluble component in Chin

会议

Group 9 Metal [Cp*MⅢ]-Catalyzed C-H Annulation Reaction for the Synthesis Isocoumarins Using the Org

Over the past few decades,transition-metal-catalyzed direct functionalization of relatively unreactive C-H bonds has considerably expanded the toolbox for organic synthesis1,providing an attractive al

会议

手性方胺催化硝基乙酸酯的不对称共轭加成反应及其在药物合成中的应用

近年来,不对称有机催化反应获得了很大的发展.手性方胺是一类重要的有机催化剂,可以高效、高选择性的催化多种有机反应.但此类催化剂需要使用昂贵的3,5-二(三氟甲基)苯胺来合成.寻求价廉易得、催化活性高、对映选择性好的手性方胺具有重要研究价值.

会议

A New Metalloporphyrin Aerogel based on Dirhodium Paddlewheel Units:High Catalytic Efficency in N-H

Metal-organic gels(MOGs) are intriguing porous materials for their special properties,such as gas storage,seperation,catalysis,sensing.1 Traditional MOGs are mostly constructed by the derivatives of p

会议

有机硒催化环化反应合成氧氮杂环化合物研究

含氧与含氮杂环化合物是一类重要的有机合成中间体并且在天然产物中广泛存在,而分子内的亲核取代反应是构筑这类化合物最直接、最经典的方法之一,但是分子内的亲核取代反应通常需要比较剧烈的反应条件而且官能团适应性不佳,因此,近二十年来,利用过渡金属催化进行环化反应合成含氧、含氮杂环化合物引起了越来越多有机化学家的关注,但过渡金属催化的反应具有一些普遍的缺点,如过渡金属催化剂的价格一般比较昂贵以及催化剂较难在

会议

Intermolecular C-N Bond Formation via Organoselenium Catalysis:A Novel Approach to N-Vinylpyridinium

Direct C-H bond functionalization has attracted much attention due to high atom economy.Recently,reactions catalyzed by diselenide have been successfully applied in alkene functionalization such as am

会议

Organoselenium-Catalyzed,Hydroxy-Controlled Regio-and Stereoselective Amination of Terminal Alkenes:

3-amino allylic alcohols are versatile synthetic intermediates and could be conveniently converted to many useful organic compounds by known methods.Direct amination of carbon-hydrogen bonds is an ide

会议

Regiospecific Synthesis of Benzoxepines through Pd-Catalyzed Carbene Migratory Insertion and C-C bon

Carbon-carbon bond cleavage by means of transition metals has received considerable attentions,which provides new opportunities for the discovery of synthetically useful reactions that are otherwise d

会议

Synthesis of gem-Difluorinated Polycyclic Quinolines via Visible-light Induced Cascade Radical Cycli

In small molecule drug discovery,difluoromethylene group(CF2) is a popular functional group because it can functionalize as a bioisostere of a carbonyl group or an oxygen atom,and would have significa

会议

Synthesis of Indolo[2,1-α]isoquinolines via Visible-light Induced Formal [4+1] Annulation Between Di

Indolo[2,1-α isoquinoline is one of the most attractive frameworks with a wide range of biological and pharmacological activities(Figure 1).1 Herein,we described a visible-light induced formal [4+1] a

会议

分数阶累加GM(1,1)模型解之间的误差分析

与本文相关的学术论文