| 基于响应不变法的GM(1,1)模型 |
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| 引用本文： | 邹红波,吉培荣.基于响应不变法的GM(1,1)模型[J].三峡大学学报(自然科学版),2007,29(4):339-341. |
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| 作者姓名： | 邹红波 吉培荣 |
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| 作者单位： | 三峡大学,电气信息学院,湖北,宜昌,443002 |
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| 摘 要： | GM(1,1)模型的建模过程是由白化微分方程离散化得到差分方程,再由该差分方程估计模型参数.由于离散化引入了误差导致白化微分方程和差分方程的响应发生了变化.基于响应不变法,提出了一种新的GM(1,1)模型.该模型具有白指数重合律,它突破了|a|较大时GM(1,1)模型不能应用的禁区,拓广了GM(1,1)模型的应用范围.
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| 关 键 词： | GM(1 1)模型 响应不变法 白化微分方程 差分方程 |
| 文章编号： | 1672-948X（2007）04-0339-04 |
| 修稿时间： | 2007-03-29 |
GM (1,1) Model Based on Response Invariant Method |
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| Zou Hongbo,Ji Peirong.GM (1,1) Model Based on Response Invariant Method[J].Journal of China Three Gorges University(Natural Sciences),2007,29(4):339-341. |
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| Authors: | Zou Hongbo Ji Peirong |
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| Abstract: | The modeling of GM(1,1) model is to gain difference equation by dispersing albinism differential equation,then to estimate model parameters by the difference equation.Because of error by dispersing albinism differential equation,the response of difference equation is changed relative to differential equation.A new GM(1,1) model is given based on response invariant method.It possesses white exponential law coincidence property.The restricted zone of using GM(1,1) model is broken while |a| is bigger number;and the application range of GM(1,1) model is widened. |
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| Keywords: | GM(1 1) model response invariant method albinism differential equation difference equation |
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