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2005 | Buch

Modelling and Identification with Rational Orthogonal Basis Functions

herausgegeben von: Peter S.C. Heuberger, Paul M.J. Van den Hof, Bo Wahlberg

Verlag: Springer London

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Über dieses Buch

Models of dynamical systems are of great importance in almost all fields of science and engineering and specifically in control, signal processing and information science. A model is always only an approximation of a real phenomenon so that having an approximation theory which allows for the analysis of model quality is a substantial concern. The use of rational orthogonal basis functions to represent dynamical systems and stochastic signals can provide such a theory and underpin advanced analysis and efficient modelling. It also has the potential to extend beyond these areas to deal with many problems in circuit theory, telecommunications, systems, control theory and signal processing.

Modelling and Identification with Rational Orthogonal Basis Functions affords a self-contained description of the development of the field over the last 15 years, furnishing researchers and practising engineers working with dynamical systems and stochastic processes with a standard reference work.

Inhaltsverzeichnis

Frontmatter
1. Introduction
Bo Wahlberg, Brett Ninness, Paul Van den Hof
2. Construction and Analysis
Bo Wahlberg, Tomás e Oliveira Silva
3. Transformation Analysis
Bo Wahlberg
4. System Identification with Generalized Orthonormal Basis Functions
Paul Van den Hof, Brett Ninness
5. Variance Error, Reproducing Kernels, and Orthonormal Bases
Brett Ninness, Håkan Hjalmarsson
6. Numerical Conditioning
Brett Ninness, Håkan Hjalmarsson
7. Model Uncertainty Bounding
Paul Van den Hof
8. Frequency-domain Identification in ℌ2
József Bokor, Zoltan Szabó
9. Frequency-domain Identification in ℌ∞
József Bokor, Zoltan Szabó
10. Design Issues
Peter Heuberger
11. Pole Selection in GOBF Models
Tomás e Oliveira Silva
12. Transformation Theory
Peter Heuberger, Thomas de Hoog
13. Realization Theory
Peter Heuberger, Thomas de Hoog
Backmatter
Metadaten
Titel
Modelling and Identification with Rational Orthogonal Basis Functions
herausgegeben von
Peter S.C. Heuberger
Paul M.J. Van den Hof
Bo Wahlberg
Copyright-Jahr
2005
Verlag
Springer London
Electronic ISBN
978-1-84628-178-5
Print ISBN
978-1-85233-956-2
DOI
https://doi.org/10.1007/1-84628-178-4

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