Authors:
- Provides a comprehensive survey of significant aspects of linear time-invariant systems theory
- Presents new methods to obtain complete and exact proofs of results
- Features results accompanied by constructive algorithms that are demonstrated by nontrivial computer examples
Part of the book series: Differential-Algebraic Equations Forum (DAEF)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
About this book
This book comprehensively examines various significant aspects of linear time-invariant systems theory, both for continuous-time and discrete-time. Using a number of new mathematical methods it provides complete and exact proofs of all the systems theoretic and electrical engineering results, as well as important results and algorithms demonstrated with nontrivial computer examples. The book is intended for readers who have completed the first two years of a university mathematics course. All further mathematical results required are proven in the book.
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Authors and Affiliations
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Department of Mathematics, University of Innsbruck, Innsbruck, Austria
Ulrich Oberst
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Seefeld in Tirol, Austria
Martin Scheicher, Ingrid Scheicher
About the authors
ULRICH OBERST is Professor Emeritus at the University of Innsbruck, Austria. Earlier, he was professor of mathematics at the same university from 1972–2009. He completed his Ph.D. in Mathematics from the University of Munich, Germany, in 1965, under the guidance of Prof. F. Kasch who, in particular, taught injective co-generators—a notion from homological algebra which plays an important part in the present book. He has visited a number of universities in several countries on invitations, including Pennsylvania State University, USA, University of California San Diego, USA, University of Chicago, USA, University of Florida, USA, and University of Rome II, Italy. His areas of interest include algebra and applied mathematics with special emphasis on constructive methods, in particular multidimensional linear systems theory and discrete Gelfand, Fourier and Hartley transforms. A father of two and grandfather of six, Prof. Oberst is happily married to Karla. He is also an experienced piano player and has participated in two chamber music ensembles, playing piano trios, quartets and quintets with, in particular, string players from the Tyrolean Symphony Orchestra Innsbruck.
Bibliographic Information
Book Title: Linear Time-Invariant Systems, Behaviors and Modules
Authors: Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
Series Title: Differential-Algebraic Equations Forum
DOI: https://doi.org/10.1007/978-3-030-43936-1
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-43935-4Published: 28 June 2020
eBook ISBN: 978-3-030-43936-1Published: 27 June 2020
Series ISSN: 2199-7497
Series E-ISSN: 2199-840X
Edition Number: 1
Number of Pages: XI, 750
Number of Illustrations: 14 b/w illustrations
Topics: Linear and Multilinear Algebras, Matrix Theory, Topology, Fourier Analysis, Partial Differential Equations, Ordinary Differential Equations