Fractional Linear Systems and Electrical Circuits

• Main Authors: Kaczorek, Tadeusz (Author), Rogowski, Krzysztof (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Studies in Systems, Decision and Control, 13
• Subjects: Engineering.; Computational intelligence.; Control engineering.; Electronic circuits.; Control.; Computational Intelligence.; Circuits and Systems.

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 continu...

Table of Contents:

• 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.