Fractional Linear Systems and Electrical Circuits

  • Tadeusz Kaczorek
  • Krzysztof Rogowski

Part of the Studies in Systems, Decision and Control book series (SSDC, volume 13)

Table of contents

  1. Front Matter
    Pages 1-12
  2. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 1-48
  3. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 49-80
  4. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 81-115
  5. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 117-129
  6. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 169-195
  7. Tadeusz Kaczorek, Krzysztof Rogowski
    Pages 197-208
  8. Back Matter
    Pages 225-251

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.



Continuous-time Linear Systems Electrical Circuit Fractional Differential Equations Fractional Electrical Circuit Fractional Linear Systems Positive Fractional Electrical Circuit

Authors and affiliations

  • Tadeusz Kaczorek
    • 1
  • Krzysztof Rogowski
    • 2
  1. 1.Faculty of Electrical EngineeringBialystok University of TechnologyBialystokPoland
  2. 2.Faculty of Electrical EngineeringBiałystok University of TechnologyBiałystokPoland

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-11360-9
  • Online ISBN 978-3-319-11361-6
  • Series Print ISSN 2198-4182
  • Series Online ISSN 2198-4190
  • Buy this book on publisher's site