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Descriptor Systems of Integer and Fractional Orders

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Descriptor Systems of Integer and Fractional Orders Synopsis

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.

About This Edition

ISBN: 9783030724795
Publication date: 14th April 2021
Author: Tadeusz Kaczorek, Kamil Borawski
Publisher: Springer an imprint of Springer International Publishing
Format: Hardback
Pagination: 252 pages
Series: Studies in Systems, Decision and Control
Genres: Automatic control engineering
Cybernetics and systems theory
Maths for engineers