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Fractional Linear Systems and Electrical Circuits de Tadeusz Kaczorek

Fractional Linear Systems and Electrical Circuits: Studies in Systems, Decision and Control, cartea 13

Autor Tadeusz Kaczorek, Krzysztof Rogowski
en Limba Engleză Paperback – 10 sep 2016
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.
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Specificații

ISBN-13: 9783319365299
ISBN-10: 3319365290
Pagini: 268
Ilustrații: XII, 254 p. 47 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.41 kg
Ediția:Softcover reprint of the original 1st edition 2015
Editura: Springer
Colecția Studies in Systems, Decision and Control
Seria Studies in Systems, Decision and Control

Locul publicării:Cham, Switzerland

Cuprins

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.

Textul de pe ultima copertă

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.
 

Caracteristici

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

Notă biografică

Tadeusz Kaczorek, received the MSc., PhD and DSc degrees from Electrical Engineering of Warsaw University of Technology in 1956, 1962 and 1964, respectively. Between 1968 and 1969 he was the dean of Electrical Engineering Faculty and from 1970until 1973 he was the prorector of Warsaw University of Technology. He has been a full Professor since 1974. In 1996 he was elected as a full member of Polish Academy of Sciences. From 1988 to 1991 he was the director of the Research Centre of Polish Academy of Sciences in Rome. In June 1999 he was elected as a full member of the Academy of Engineering in Poland. In May 2004 he was elected the honorary member of the Hungarian Academy of Sciences. He holds honorary doctorates from the University of Zielona Góra (2002), the Technical University of Lublin (2004), the Technical University of Szczecin (2004) and Warsaw University of Technology (2004). His research interests cover the theory of systems and the automatic control systems, particularly singular multidimensional systems, positive multidimensional systems and singular positive 1- and 2-dimensional systems. He has researched the field of singular and positive 2-dimensional linear systems. He has published 18 books (5 in English) and over 700 scientific papers (in journals like IEEE Transactions on Automatic Control, IEEE Transactions on Neural Networks, Multidimensional Systems and Signal Processing, International Journal of Control, Bull. Pol. Acad. Sciences, etc.) and proceedings of conferences. He has presented more than 100 invited papers to international conferences and world congresses and has given invited lectures in more than 50 universities in the US, Canada, UK, Germany, Italy, France, Japan, Greece etc. He has been a member of many international committees and programme committees. Professor Kaczorek has supervised over 60 Ph.D. theses. More than 20 of this PhD students have become professors inthe US, UK and Japan. He is Editor-in-Chief of Bulletin of the Polish Academy of Sciences, Techn. Sciences and editorial member of about ten international journals.