Overview
- Recent original research on fractional linear systems and electrical circuits
- Presents selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage sources
- Includes 4 appendices devoted to basic definitions and theorems on Laplace and Z-transforms, elementary row and column operations on matrices , some properties of the nilpotent matrices, as well as the definition of Drazin inverse of matrices and its properties
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 13)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.
Authors and Affiliations
Bibliographic Information
Book Title: Fractional Linear Systems and Electrical Circuits
Authors: Tadeusz Kaczorek, Krzysztof Rogowski
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-319-11361-6
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-11360-9Published: 28 October 2014
Softcover ISBN: 978-3-319-36529-9Published: 10 September 2016
eBook ISBN: 978-3-319-11361-6Published: 13 October 2014
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XII, 254
Number of Illustrations: 47 b/w illustrations
Topics: Control and Systems Theory, Computational Intelligence, Circuits and Systems