期刊文献+

GM(1,N)模型的离散化结构解 被引量:22

Dispersed structure solve of model GM(1,N)
下载PDF
导出
摘要 针对灰色系统GM(1,N)模型是以差分方程为基础进行参数估计的,而其时间响应函数却是由微分方程的解得到的。从差分方程到微分方程的跨越,缺乏充分的科学基础和理论依据。通过对灰色系统模型建模机理进行深入剖析,利用采样定理和状态转移矩阵在差分方程和微分方程之间架起一座桥梁,通过算例仿真实验证明了该算法的有效性。 Parameters of grey model GM ( 1, N) are often estimated based on related difference equation, but time response function is acquired by the solution of differential equation. No reasonable scientific or theoretical basis is given to explain the jump from difference equation to differential equation till now. The relation between difference equation and differential equation is studied by analyzing the mechanism in building grey models, and a "bridge" is set up between difference equation and differential equation by sampling theorem and state transition matrix. It proves this method has validity by analysis of simulation result.
出处 《系统工程与电子技术》 EI CSCD 北大核心 2006年第11期1679-1681,1699,共4页 Systems Engineering and Electronics
基金 国家自然科学基金(70473037) 江苏省自然科学基金重点项目(BK2003211)资助课题
关键词 GM(1 N)模型 微分方程 差分方程 采样定理 状态转移矩阵 GM (1, N) model differential equation difference equation sampling theorem state transition matrix
  • 相关文献

参考文献11

二级参考文献30

共引文献120

同被引文献191

引证文献22

二级引证文献181

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部