Gröbner Bases in Control Theory and Signal Processing

Published by De Gruyter 2007

Gröbner Bases in Control Theory and Signal Processing

Edited by: Hyungju Park and Georg Regensburger

Volume 3 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110909746

Overview
Contents

About this book

This volume contains survey and original articles presenting the state of the art on the application of Gröbner bases in control theory and signal processing.

The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods at the Johann Radon Institute of Computational and Applied Mathematics (RICAM), Linz, Austria, in May 2006.

Author / Editor information

Georg Regensburger, Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria; Hyungju Park, Korea Institute for Advanced Study (KIAS), Seoul, Korea.

Reviews

"In particular, Gröbner bases proved to be a powerful tool in designing multidimensional filter banks and have shown a good potential for solving partial differential equations."
In: EMS Newsletter 9/2008

Topics

i-iv Requires Authentication Unlicensed Licensed Download PDF	i
Preface Hyungju Park and Georg Regensburger Requires Authentication Unlicensed Licensed Download PDF	v
Table of Contents Requires Authentication Unlicensed Licensed Download PDF	vii
Two decades (1985–2005) of Gröbner bases in multidimensional systems N. K. Bose Requires Authentication Unlicensed Licensed Download PDF	1
Applications of the Quillen-Suslin theorem to multidimensional systems theory Anna Fabiańska and Alban Quadrat Requires Authentication Unlicensed Licensed Download PDF	23
Normal forms in statistical signal processing Jerome Lebrun Requires Authentication Unlicensed Licensed Download PDF	107
Obstructions to genericity in study of parametric problems in control theory Viktor Levandovskyy and Eva Zerz Requires Authentication Unlicensed Licensed Download PDF	127
A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems Ulrich Oberst and Martin Scheicher Requires Authentication Unlicensed Licensed Download PDF	151
Applications of filter coefficients and wavelets parametrized by moments Georg Regensburger Requires Authentication Unlicensed Licensed Download PDF	191
Applications of Gröbner bases in synthesis of multidimensional control systems Li Xu Requires Authentication Unlicensed Licensed Download PDF	215
State representations of time-varying linear systems Eva Zerz Requires Authentication Unlicensed Licensed Download PDF	235

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers, Graduate Students of Mathematics; Academic Libraries
Pages
- Main content: 251
Keywords: Algebras; base; signal theory; control theory

eBook

Published: December 22, 2011
ISBN: 9783110909746

Hardcover

Published: November 20, 2007
ISBN: 9783110193336