Modelling and Identification with Rational Orthogonal Basis Functions

By: Peter S.C. Heuberger (Editor), Paul M.J. van den Hof (Editor), Bo Wahlberg (Editor)

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Hardcover | 30 June 2005

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428 Pages

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23.5 x 15.88 x 2.54

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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.

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"The book deals with the construction and use of rational orthogonal basis functions in modelling and identification of linear dynamical systems. It is written by nine authors as a research monograph and represents a survey of the field. The framework and tools are given that make it easy to evaluate how much one gains by using orthogonal basis function models ... ." (UElle Kotta, Mathematical Reviews, Issue 2006 k)

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Engineering & Technology Energy Technology & Engineering Electrical Engineering Computing & I.T.Computer Science

Applied Mathematics Graphical & Digital Media Applications 3D Graphics & Modelling Electronics & Communications Engineering Electronics Engineering Automatic Control Engineering Robotics

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Paperback

Published: 14th March 2012

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Introduction
Construction and Analysis
Transformation Analysis System
Identification with Generalized
Orthonormal Basis Functions
Variance Error, Reproducing Kernels and Orthonormal Bases Numerical Conditioning
Model Uncertainty Bounding Frequency
Domain Identification in H-2 Frequency
Domain Identification in H-Infinity Design
Issues Pole Selection in GOBF Models
Transformation Theory
Realization Theory
Table of Contents provided by Publisher. All Rights Reserved.

Modelling and Identification with Rational Orthogonal Basis Functions

At a Glance

Hardcover

Industry Reviews

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Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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