[1]何建敏,达庆利.广义指数模型的递阶辨识算法[J].东南大学学报(自然科学版),1989,19(6):77-85.[doi:10.3969/j.issn.1001-0505.1989.06.011]
 He Jianmin Da Qingli(College of Management).A Hierarchical Identification Algorithm for the Extended Exponential Model[J].Journal of Southeast University (Natural Science Edition),1989,19(6):77-85.[doi:10.3969/j.issn.1001-0505.1989.06.011]
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广义指数模型的递阶辨识算法()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
19
期数:
1989年第6期
页码:
77-85
栏目:
本刊信息
出版日期:
1989-11-20

文章信息/Info

Title:
A Hierarchical Identification Algorithm for the Extended Exponential Model
作者:
何建敏达庆利
东南大学管理学院; 东南大学管理学院
Author(s):
He Jianmin Da Qingli(College of Management)
关键词:
最小二乘法 辨识 最佳化/递阶算法 社会经济系统
Keywords:
least-square methods identification optimization /hierarchical algorithm social and economical systems
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1989.06.011
摘要:
针对生态和社会经济系统常用的一类广义指数模型,本文提出了一种新的递阶辨识算法。文中首先利用等价辨识问题最优Lagrange乘子的零特性导出了这一算法的两级结构。它的协调级十分简单而第一级又可利用现有的高效算法求解。而后证明了这一算法的收敛性和它与一般非线性方法的等价性。仿真和应用结果表明,它的收敛速度大大高于通用的求解一般非线性最小二乘辨识问题的L-M法。
Abstract:
A new hierarchical identification algorithm is proposed for solving the identification problem of the extended exponential model, which is used frequently in ecological, social and economical systems. By using the zero character of the optimal Lagrangian multipliers of the equivalent identification problem, the two level structure of the algorithm is derived first. Its coordination level is simple and the first level can be solved by the high efficiency method available. Then, the convergence and the correspondence with conventional nonlinear approaches of the algorithm are proved. The results of simulation and application show that its convergent rate is greatly higher than that of the L-M method.

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更新日期/Last Update: 2013-04-30