Title
Model approximations via prediction error identification
Abstract
Identification is considered of a dynamic system by a model in a model set of which the system is not a member. This is achieved by defining a performance index related to prediction error performance indices, and taking that model minimizing the performance index as that which is closest to the system. The index has an intuitively pleasing spectral interpretation in the stationary case for large measurement intervals. The length of measurement interval needed for identification is discussed by studying the limiting behaviour of the performance indices, as is also the relation of the index to the Kullback information measure. The communication theoretic issue of convergence of a posteriori densities when Bayesian estimation is being undertaken with a finite model set is examined.
Year
DOI
Venue
1978
10.1016/0005-1098(78)90051-1
Automatica
Keywords
Field
DocType
Identification,modelling,approximation theory,system order reduction,least squares approximation
Convergence (routing),Least squares,Mean squared prediction error,Mathematical optimization,Performance index,A priori and a posteriori,Approximation theory,Bayes estimator,Limiting,Mathematics
Journal
Volume
Issue
ISSN
14
6
0005-1098
Citations 
PageRank 
References 
5
4.29
0
Authors
3
Name
Order
Citations
PageRank
Brian D. O. Anderson13727471.00
JOHN B. MOORE241284.61
r m hawkes354.29