Park H., Regensburger G. (eds.) Gröbner Bases in Control Theory and Signal Processing

Berlin: de Gruyter, 2007. — 260 p.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.Preface
Two decades (1985–2005) of Gr ̈obner bases in multidimensional systems
Applications of the Quillen-Suslin theorem to multidimensional systems theory
Normal forms in statistical signal processing
Obstructions to genericity in study of parametric problems in control theory
A survey of (BIBO) stability and (proper) stabilization of multidimensionalinput/output systems
Applications offilter coefficients and wavelets parametrized by moments
Applications of Gr ̈obner bases in synthesis of multidimensional control systems
State representations of time-varying linear systems