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2020 | OriginalPaper | Chapter

1. Introduction

Authors : Ulrich Oberst, Martin Scheicher, Ingrid Scheicher

Published in: Linear Time-Invariant Systems, Behaviors and Modules

Publisher: Springer International Publishing

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Abstract

Our goal in writing this book was to derive systems theoretic and electrical engineering results, to prove them using only mathematics which is taught in the first 2 years of a mathematics course at university, and to provide algorithms for all important results. In this introductory chapter, we provide an overview of the covered topics. We describe the employed mathematical methods and compare our approach and methodology to those which are used in most books on systems theory.

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next chapter A Survey of the Book’s Content
Literature
1.
W.A. Wolovich, Linear Multivariable Systems. Applied Mathematical Sciences, vol. 11 (Springer, New York, 1974)
2.
T. Kailath, Linear Systems (Prentice-Hall, Englewood Cliffs, 1980)
3.
C.T. Chen, Linear System Theory and Design (Harcourt Brace College Publishers, Fort Worth, 1984)
4.
F.M. Callier, C.A. Desoer, Multivariable Feedback Systems (Springer Texts in Electrical Engineering. Springer, New York, 1982)
5.
F.M. Callier, C.A. Desoer, Linear System Theory (Springer, New York, 1991)
6.
M. Vidyasagar, Control System Synthesis. A Factorization Approach, vol. 7. MIT Press Series in Signal Processing, Optimization, and Control (MIT Press, Cambridge, 1985)
7.
R. Unbehauen, Elektrische Netzwerke. Eine Einführung in die Analyse (Springer, Berlin, 1987)
8.
A.I.G. Vardulakis, Linear Multivariable Control. Algebraic Analysis and Synthesis Methods (John Wiley & Sons, Chichester, 1991)
9.
M. Albach, Grundlagen der Elektrotechnik 2. Periodische und nichtperiodische Signalformen (Pearson Studium, München, 2005)
10.
L.P. Schmidt, G. Schaller, S. Martius, Grundlagen der Elektrotechnik 3. Netzwerke (Pearson Studium, München, 2006)
11.
P.J. Antsaklis, A.N. Michel, Linear Systems, 2nd edn. (Birkhäuser, Boston, 2006)
12.
13.
P.A. Fuhrmann, Linear Systems and Operators in Hilbert Space (McGraw-Hill, New York, 1981)MATH
14.
15.
K. Zhou, J.C. Doyle, K. Glover, Robust and Optimal Control (Prentice-Hall, 1996)
16.
D. Hinrichsen, A.J. Pritchard, Mathematical Systems Theory I. Modelling, State Space Analysis, Stability and Robustness, vol. 48 Texts in Applied Mathematics (Springer, Berlin, 2005)
17.
P.A. Fuhrmann, U. Helmke, The Mathematics of Networks of Linear Systems (Springer International Publishing, 2015)
18.
D. Hinrichsen, A.J. Pritchard with the cooperation of F. Colonius, T. Damm, A. Ilchmann, B. Jacob, F. Wirth, Mathematical Systems Theory II. Control, Observation, Realization, and Feedback (Springer)
19.
R.G. Ballas, G. Pfeifer, R. Werthschützky, Elektromechanische Systeme in der Mikrotechnik und Mechatronik (Springer, Berlin, 2009)CrossRef
20.
K. Jantschek, Mechatronic Systems Design. Methods, Models, Concepts (Springer, Berlin, 2012)CrossRef
21.
D.C. Karnopp, D.L. Margolis, R.C. Rosenberg, System Dynamics. Modeling, Simulation, and Control of Mechatronic Systems (Wiley, Hoboken, 2012)CrossRef
22.
L. Schwartz. Théorie des distributions (Publications de l’Institut de Mathématique de l’Université de Strasbourg, No. IX-X. Hermann, Paris, nouvelle édition, entiérement corrigée, refondue et augmentée edition, 1966)
Metadata
Title
Introduction
Authors
Ulrich Oberst
Martin Scheicher
Ingrid Scheicher
Copyright Year
2020
Book
Linear Time-Invariant Systems, Behaviors and Modules

Print ISBN: 978-3-030-43935-4

Electronic ISBN: 978-3-030-43936-1

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-43936-1_1

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