Descriptor Systems of Integer and Fractional Orders

1. Auflage 2021
ISBN: 978-3-030-72479-5
Verlag: Springer International Publishing

Buch, Englisch, Band 367, 252 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 571 g

Reihe: Studies in Systems, Decision and Control

This book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems.

The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley–Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D.

Zielgruppe

Research

Autoren/Hrsg.

Borawski, Kamil

Kaczorek, Tadeusz

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik Berechenbarkeitstheorie, Komplexitätstheorie
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Regelungstechnik

Inhaltsverzeichnis

Descriptor Linear Systems.- Fractional Descriptor Linear Systems.- Stability of Positive Descriptor Systems.- Appendix.