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Deterministic Identification of Dynamical Systems (Lecture Notes in Control and Information Sciences, Band 127) - Softcover

Heij, Christiaan

 
9783540513230: Deterministic Identification of Dynamical Systems (Lecture Notes in Control and Information Sciences, Band 127)
Softcover
ISBN 10: 354051323X ISBN 13: 9783540513230
Verlag: Springer, 1989

Inhaltsangabe

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.

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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.

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Verlag
Springer
Erscheinungsdatum
1989
Sprache
Englisch
ISBN 10 
354051323X
ISBN 13 
9783540513230
Einband
Taschenbuch
Anzahl der Seiten
301
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