ENGLISH

Fractional Linear Systems and Electrical Circuits

By Tadeusz Kaczorek , Krzysztof Rogowski (auth.)

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-11360-9, 978-3-319-11361-6
DOI
10.1007/978-3-319-11361-6
Language
english
Format
PDF
Filesize
4 MB (4032719 bytes)
Series
Studies in Systems, Decision and Control 13
Edition
1
Pages
254\260
Time added
2014-11-10 20:00:00
Control; Computational Intelligence; Circuits and

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.

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