
Fractional Linear Systems and Electrical Circuits
Springer (Publisher)
Published on 10. September 2016
Book
Paperback/Softback
XII, 254 pages
978-3-319-36529-9 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 2015
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
47 s/w Abbildungen
XII, 254 p. 47 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
411 gr
ISBN-13
978-3-319-36529-9 (9783319365299)
DOI
10.1007/978-3-319-11361-6
Schweitzer Classification
Other editions
Additional editions

Tadeusz Kaczorek | Krzysztof Rogowski
Fractional Linear Systems and Electrical Circuits
Book
10/2014
Springer
€106.99
Shipment within 10-15 days
Content
Fractional differential equations.- Positive fractional electrical circuits.- Descriptor linear electrical circuits and their properties.- Stability of positive standard linear electrical circuits.- Reachability, observability and reconstructability.- Standard and fractional linear circuits with feedbacks.- Minimum energy control of electrical circuits.- Fractional 2D systems described by the Roesser model.- Laplace transforms and Z-transforms.- Elementary operations on matrices.- Nilpotent matrices.- Drazin inverse matrix.