Fractional Linear Systems and Electrical Circuits
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Beschreibung
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.
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.
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
Autor*in
Tadeusz Kaczorek
Themen in »Fractional Linear Systems and Electrical Circuits«
Continuous-time Linear Systems Electrical Circuit Fractional Differential Equations Fractional Electrical Circuit Fractional Linear Systems Positive Fractional Electrical Circuit