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Linear Exact Modeling in the Behavioral Framework
Author

Martin Rickli
Old MathSource #

0208-639
Revision date

1997-04-09
Description

This package allows you to compute a dynamical system from given data. The algorithm was published by A. C. Antoulas in IEEE Transactions on Automatic Control (Dec. 93) and is based on the behavioral framework (introduced by J. C. Willems back in 1979). It solves the following problem: Given polynomial-time exponential time series w(t) = p(t) exp(lam t) find a polynomial matrix theta, such that theta(d/dt) w(t) = 0 (exactly!) and theta has minimal complexity.

We welcome any comments. Please send an Email (rickli@aut.ee.ethz.ch) with your rating and a short description of what you used this algorithm for. Thanks
Subjects

*Engineering > Control Theory
*Engineering > Signal Processing
Keywords

modeling, identification, system theory, signal processing, behavior framework, polynomial matrix
Downloads Download Wolfram CDF Player

Download
Introduction.txt (13.9 KB) - Text file
Download
EMIntroduction.nb (65 KB) - Mathematica notebook
Download
EMUtils.m (15.8 KB) - Mathematica package
Download
ExactModeling.m (73.8 KB) - Mathematica package

Files specific to Mathematica 2.2 version:
Download
EMIntroduction.ma (46.9 KB) - Mathematica notebook