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Fractional Linear Systems and Electrical Circuits

✍ Scribed by Tadeusz Kaczorek, Krzysztof Rogowski (auth.)


Publisher
Springer International Publishing
Year
2015
Tongue
English
Leaves
260
Series
Studies in Systems, Decision and Control 13
Edition
1
Category
Library

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✦ Synopsis


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.

✦ Table of Contents


Front Matter....Pages 1-12
Fractional Differential Equations....Pages 1-48
Positive Fractional Electrical Circuits....Pages 49-80
Descriptor Linear Electrical Circuits and Their Properties....Pages 81-115
Stability of Positive Standard Linear Electrical Circuits....Pages 117-129
Reachability, Observability and Reconstructability of Fractional Positive Electrical Circuits and Their Decoupling Zeros....Pages 131-168
Standard and Fractional Linear Circuits with Feedbacks....Pages 169-195
Minimum Energy Control of Electrical Circuits....Pages 197-208
Fractional 2D Linear Systems Described by the Standard and Descriptor Roesser Model with Applications....Pages 209-223
Back Matter....Pages 225-251

✦ Subjects


Control; Computational Intelligence; Circuits and Systems


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