Details

Linear Time-Invariant Systems, Behaviors and Modules


Linear Time-Invariant Systems, Behaviors and Modules


Differential-Algebraic Equations Forum

von: Ulrich Oberst, Martin Scheicher, Ingrid Scheicher

37,44 €

Verlag: Springer
Format: PDF
Veröffentl.: 27.06.2020
ISBN/EAN: 9783030439361
Sprache: englisch

Dieses eBook enthält ein Wasserzeichen.

Beschreibungen

<p>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.</p>
<p>1. A Survey of the Book's Content.- 2. The Language and Fundamental Properties of Behaviors.- 3. Observability, Autonomy and Controllability of Behaviors.- 4. Applications of the Chinese Remainder Theorem.- 5. Input/ Output Behaviors.- 6. Interconnections of Input/ Output Behaviors.- 7. The Transfer Matrix as Operator or Input/ Output Map.- 8. Stability via Quotient Modules.- 9. Compensators.- 10. Observers.- 11. Canonical State Space Realizations.- 12. Generalized Fractional Calculus.</p>
<p>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.&nbsp; 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&nbsp; 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.</p><p></p><p></p><p></p><p></p>
<p>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.<br></p>
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

Diese Produkte könnten Sie auch interessieren:

Collected Papers
Collected Papers
von: Bertram Kostant, Anthony Joseph, Shrawan Kumar, Michèle Vergne
PDF ebook
223,63 €
Emerging Applications of Algebraic Geometry
Emerging Applications of Algebraic Geometry
von: Mihai Putinar, Seth Sullivant
PDF ebook
96,29 €
The q-theory of Finite Semigroups
The q-theory of Finite Semigroups
von: John Rhodes, Benjamin Steinberg
PDF ebook
96,29 €