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Differential-Algebraic Equations Forum

Linear Time-Invariant Systems, Behaviors and Modules

Authors: Oberst, Ulrich, Scheicher, Martin, Scheicher, Ingrid

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  • 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 

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  • ISBN 978-3-030-43936-1
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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.

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.

Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-030-43936-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-3-030-43935-4
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Linear Time-Invariant Systems, Behaviors and Modules
Authors
Series Title
Differential-Algebraic Equations Forum
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-43936-1
DOI
10.1007/978-3-030-43936-1
Softcover ISBN
978-3-030-43935-4
Series ISSN
2199-7497
Edition Number
1
Number of Pages
XI, 750
Number of Illustrations
131 b/w illustrations
Topics

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