
Deterministic Identification of Dynamical Systems
Christiaan Heij(Author)
Springer (Publisher)
Published on 31. August 1989
Book
Paperback/Softback
VI, 295 pages
978-3-540-51323-0 (ISBN)
Description
In deterministic identification the identified system is determined on the basis of a complexity measure of models and a misfit measure of models with respect to data. The choice of these measures and corresponding notions of optimality depend on the objectives of modelling. In this monograph, the cases of exact modelling, model reduction and approximate modelling are investigated. For the case of exact modelling a procedure is presented which is inspired by objectives of simplicity and corroboration. This procedure also gives a new solution for the partial realization problem. Further, appealing measures of complexity and distance for linear systems are defined and explicit numerical expressions are derived. A simple and new procedure for approximating a given system by one of less complexity is described. Finally, procedures and algorithms for deterministic time series analysis are presented. The procedures and algorithms are illustrated by simple examples and by numerical simulations.
More details
Series
Edition
1989 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
6 s/w Abbildungen
VI, 295 p. 6 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 17 mm
Weight
528 gr
ISBN-13
978-3-540-51323-0 (9783540513230)
DOI
10.1007/BFb0043065
Schweitzer Classification
Person
Christiaan Heij is assistant professor at the Erasmus University in Rotterdam
André C. M. Ran is full professor at the Vrije Universiteit Amsterdam
Freek van Schagen is visiting fellow at the Vrije Universiteit Amsterdam
Content
Deterministic modelling.- Exact modelling.- Model approximation.- Approximate modelling.- Conclusions.