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Exact and Approximate Modeling of Linear Systems: A Behavioral Approach

Exact and Approximate Modeling of Linear Systems: A Behavioral Approach
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach
Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of possible outcomes rather than to be a priori bound to particular representations. The authors discuss exact and approximate fitting of data by linear, bilinear, and quadratic static models and linear dynamic models, a formulation that enables readers to select the most suitable representation for a particular purpose. This book presents exact subspace-type and approximate optimization-based identification methods, as well as representation-free problem formulations, an overview of solution approaches, and software implementation. Readers will find an exposition of a wide variety of modeling problems starting from observed data. The presented theory leads to algorithms that are implemented in C language and in MATLAB.
system identification, total least squares, behavioral approach
978-0-898716-03-0
Society for Industrial and Applied Mathematics
Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Willems, J. C.
b65cabbf-8134-4199-a8fa-4aaba1950705
Van Huffel, S.
e64be3d0-00e1-4900-ab8e-74aed4792678
De Moor, B.
f25df85a-5050-448e-bd50-a278455f5b47
Markovsky, I.
3e68743b-f22e-4b2b-b1a8-2ba4eb036a69
Willems, J. C.
b65cabbf-8134-4199-a8fa-4aaba1950705
Van Huffel, S.
e64be3d0-00e1-4900-ab8e-74aed4792678
De Moor, B.
f25df85a-5050-448e-bd50-a278455f5b47

Markovsky, I., Willems, J. C., Van Huffel, S. and De Moor, B. (2006) Exact and Approximate Modeling of Linear Systems: A Behavioral Approach (Mathematical Modeling and Computation, 11), vol. 11, Society for Industrial and Applied Mathematics

Record type: Book

Abstract

Exact and Approximate Modeling of Linear Systems: A Behavioral Approach elegantly introduces the behavioral approach to mathematical modeling, an approach that requires models to be viewed as sets of possible outcomes rather than to be a priori bound to particular representations. The authors discuss exact and approximate fitting of data by linear, bilinear, and quadratic static models and linear dynamic models, a formulation that enables readers to select the most suitable representation for a particular purpose. This book presents exact subspace-type and approximate optimization-based identification methods, as well as representation-free problem formulations, an overview of solution approaches, and software implementation. Readers will find an exposition of a wide variety of modeling problems starting from observed data. The presented theory leads to algorithms that are implemented in C language and in MATLAB.

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More information

Published date: March 2006
Keywords: system identification, total least squares, behavioral approach
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 263304
URI: http://eprints.soton.ac.uk/id/eprint/263304
ISBN: 978-0-898716-03-0
PURE UUID: 94d205c2-0395-4623-b9ee-289e2f75b425

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Date deposited: 06 Jan 2007
Last modified: 20 Feb 2024 11:38

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Contributors

Author: I. Markovsky
Author: J. C. Willems
Author: S. Van Huffel
Author: B. De Moor

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