Descriptor systems of integer and fractional orders / Tadeusz Kaczorek, Kamil Borawski.
2021
QA402
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Title
Descriptor systems of integer and fractional orders / Tadeusz Kaczorek, Kamil Borawski.
ISBN
9783030724801 (electronic bk.)
3030724808 (electronic bk.)
9783030724795
3030724808 (electronic bk.)
9783030724795
Published
Cham : Springer, [2021]
Language
English
Description
1 online resource (xiv, 252 pages) : illustrations
Item Number
10.1007/978-3-030-72480-1 doi
Call Number
QA402
Dewey Decimal Classification
003/.83
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
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Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 23, 2021).
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Series
Studies in systems, decision and control ; v. 367. 2198-4182
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Table of Contents
Descriptor Linear Systems
Fractional Descriptor Linear Systems
Stability of Positive Descriptor Systems
Appendix.
Fractional Descriptor Linear Systems
Stability of Positive Descriptor Systems
Appendix.