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1 灰色动态模型GM(n,h)概述灰色系统理论建模的主要任务是根据系统行为特征数据,找因素之间本身的数学关系。灰色动态模型GM(n,h)仅用系统输出的时间序列,而不涉及别的信息。经过将时间序列转化成微分方程,建立的是系统长期发展变化的动态模型,以此来揭示和描述事物发展的连续的动态过程的本质特征。灰色动态模型实际是生成数据模型,而一般建模所得到的是原始数据模型。建模前,一般将原始时间序列经过一定方式生成新的时间序列称为“模块”。这样做的目的是为了消除
1 gray dynamic model GM (n, h) Overview The main task of gray system theory modeling is to find the mathematical relationship between factors according to the system behavior characteristic data. The gray dynamic model GM (n, h) uses only the time series output by the system without involving other information. After transforming time series into differential equations, a dynamic model of long-term evolution of the system is established to reveal and describe the essential characteristics of the continuous dynamic process of the development of things. Gray dynamic model is actually generated data model, and the general model obtained by the original data model. Before modeling, a new time series is generally called “module” after the original time series is generated in a certain way. The purpose of doing so is to eliminate