1.

Record Nr.

UNINA9910483065503321

Autore

Kaczorek T (Tadeusz), <1932->

Titolo

Descriptor systems of integer and fractional orders / / Tadeusz Kaczorek, Kamil Borawski

Pubbl/distr/stampa

Cham, Switzerland : , : Springer, , [2021]

©2021

ISBN

3-030-72480-8

Descrizione fisica

1 online resource (xiv, 252 pages) : illustrations

Collana

Studies in systems, decision and control ; v.367

Disciplina

003.83

Soggetti

Discrete-time systems

Linear time invariant systems

Sistemes de temps discret

Sistemes lineals

Llibres electrònics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

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

Sommario/riassunto

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.