Gröbner bases in control theory and signal processing
This volume grew out of the D3 Workshop on Gröbner bases in control theory and signal processing (18-19 May 2006) held in Linz, Austria, in the frame of the Special Semester on Gröbner bases and Related Methods. The special semester was organized in the spring and summer of 2006 by the Johann Radon Institute for Computational and Applied Mathematics (RICAM), in close cooperation with the Research Institute for Symbolic Computation (RISC).
The book collects survey articles and original research papers by leading experts in the area and it offers a review of the state of art in the subject. The topics covered include Gröbner bases in multidimensional systems, the Quillen-Suslin theorem and systems theory, statistical signal processing, parametric problems in control theory, stability of multidimensional input/output systems, wavelets and filter design, synthesis of multidimensional control systems and time-varying linear systems. The volume is a useful reference book for researchers and practitioners. Many interesting new applications of Gröbner bases have been found in multidimensional signal processing. 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.