PARAMETER ESTIMATION IN DISTRIBUTED SYSTEMS: OPTIMAL DESIGN

被引：2
|
作者：
Banks, H. T. [1 ]
Rehm, K. L. [1 ]
机构：
[1] North Carolina State Univ, Ctr Res Sci Computat, Box 8212,2700 Stinson Dr, Raleigh, NC 27695 USA
来源：
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS | 2014年 / 2卷 / 01期
关键词：
Inverse problems; optimal design; distributed parameter systems; Fisher Information Matrix;
D O I：
10.32523/2306-6172-2014-2-1-70-80
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We formulate a very general optimal design problem for the selection of best states to observe and optimal sampling times and locations (i.e., selections of what, when, and where to observe) for parameter estimation or inverse problems involving complex nonlinear partial differential systems. A theoretical framework along with a detailed iterative algorithm for implementation of the resulting methodology are proposed and the algorithm's successful use on several examples of wide interest are noted.
引用
收藏
页码：70 / 80
页数：11
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