Overview
- Covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems
- Explains Descriptor Linear Systems, Fractional Descriptor Linear Systems, and Stability of Positive Descriptor Systems
- Written by experts in the field
Part of the book series: Studies in Systems, Decision and Control (SSDC, volume 367)
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Table of contents (3 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.Reviews
Authors and Affiliations
Bibliographic Information
Book Title: Descriptor Systems of Integer and Fractional Orders
Authors: Tadeusz Kaczorek, Kamil Borawski
Series Title: Studies in Systems, Decision and Control
DOI: https://doi.org/10.1007/978-3-030-72480-1
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-72479-5Published: 14 April 2021
Softcover ISBN: 978-3-030-72482-5Published: 15 April 2022
eBook ISBN: 978-3-030-72480-1Published: 13 April 2021
Series ISSN: 2198-4182
Series E-ISSN: 2198-4190
Edition Number: 1
Number of Pages: XIV, 252
Number of Illustrations: 25 b/w illustrations
Topics: Control and Systems Theory, Complexity