Journal ArticleDOI
Identification of nonlinear systems using Polynomial Nonlinear State Space models
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TLDR
A method to model nonlinear systems using polynomial nonlinear state space equations by identifying first the best linear approximation of the system under test is proposed.About:
This article is published in Automatica.The article was published on 2010-04-01. It has received 247 citations till now. The article focuses on the topics: Nonlinear system & Nonlinear modelling.read more
Citations
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Journal ArticleDOI
Multirate digital signal processing
TL;DR: This book by Elliott and Rao is a valuable contribution to the general areas of signal processing and communications and can be used for a graduate level course in perhaps two ways.
Journal ArticleDOI
Nonlinear system identification in structural dynamics: 10 more years of progress
TL;DR: In this paper, the authors present a survey of the key developments which arose in the field since 2006, and illustrate state-of-the-art techniques using a real-world satellite structure.
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Inferring Biological Networks by Sparse Identification of Nonlinear Dynamics
TL;DR: In this paper, the authors propose an alternative data-driven method to infer networked nonlinear dynamical systems by using sparsity-promoting optimization to select a subset of nonlinear interactions representing dynamics on a network.
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Model selection for dynamical systems via sparse regression and information criteria.
TL;DR: An algorithm for model selection is developed which allows for the consideration of a combinatorially large number of candidate models governing a dynamical system, and it is shown that AIC scores place each candidate model in the strong support, weak support or no support category.
References
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Journal ArticleDOI
A new look at the statistical model identification
TL;DR: In this article, a new estimate minimum information theoretical criterion estimate (MAICE) is introduced for the purpose of statistical identification, which is free from the ambiguities inherent in the application of conventional hypothesis testing procedure.
Book
System Identification: Theory for the User
TL;DR: Das Buch behandelt die Systemidentifizierung in dem theoretischen Bereich, der direkte Auswirkungen auf Verstaendnis and praktische Anwendung der verschiedenen Verfahren zur IdentifIZierung hat.
Journal ArticleDOI
Deterministic nonperiodic flow
TL;DR: In this paper, it was shown that nonperiodic solutions are ordinarily unstable with respect to small modifications, so that slightly differing initial states can evolve into considerably different states, and systems with bounded solutions are shown to possess bounded numerical solutions.