Gr鑟bner bases in control theory and signal processing /
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作 者：edited by Hyungju Park, Georg Regensburger.
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ISBN：9783110193336
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简介
Containing both survey articles and original research papers, this covers recent advances on applications in computational sciences as well as new theoretical understanding. Contributors of these eight papers, presented at a special semester on Gr枚bner bases and related methods at the Austrian Academy of Sciences in May 2006, cover Gr枚bner 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 carrying filter systems. This includes a brief history of the discipline. Designed for professionals and advanced graduate students. Annotation 漏2008 Book News, Inc., Portland, OR (booknews.com)
目录
Preface H. Park and G. Regensburger p. v
Two decades (1985-2005) of Grobner bases in multidimensional systems N. K. Bose p. 1
Applications of the Quillen-Suslin theorem to multidimensional systems theory A. Fabianska and A. Quadrat p. 23
Normal forms in statistical signal processing J. Lebrun p. 107
Obstructions to genericity in study of parametric problems in control theory V. Levandovskyy and E. Zerz p. 127
A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems U. Oberst and M. Scheicher p. 151
Applications of filter coefficients and wavelets parametrized by moments G. Regensburger p. 191
Applications of Grobner bases in synthesis of multidimensional control systems L. Xu p. 215
State representations of time-varying linear systems E. Zerz p. 235
Two decades (1985-2005) of Grobner bases in multidimensional systems N. K. Bose p. 1
Applications of the Quillen-Suslin theorem to multidimensional systems theory A. Fabianska and A. Quadrat p. 23
Normal forms in statistical signal processing J. Lebrun p. 107
Obstructions to genericity in study of parametric problems in control theory V. Levandovskyy and E. Zerz p. 127
A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems U. Oberst and M. Scheicher p. 151
Applications of filter coefficients and wavelets parametrized by moments G. Regensburger p. 191
Applications of Grobner bases in synthesis of multidimensional control systems L. Xu p. 215
State representations of time-varying linear systems E. Zerz p. 235
Gr鑟bner bases in control theory and signal processing /
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