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Descriptor Systems of Integer and Fractional Orders

Descriptor Systems of Integer and Fractional Orders

Hardcover

Series: Studies in Systems, Decision and Control, Book 367

Technology & Engineering

ISBN10: 3030724794
ISBN13: 9783030724795
Publisher: Springer
Published: Apr 14 2021
Pages: 252
Weight: 1.22
Height: 0.63 Width: 6.14 Depth: 9.21
Language: English

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.

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