TY - GEN N2 - 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. DO - 10.1007/978-3-030-72480-1 DO - doi AB - 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. T1 - Descriptor systems of integer and fractional orders / AU - Kaczorek, T. AU - Borawski, Kamil, VL - volume 367 CN - QA402 ID - 1435974 KW - Discrete-time systems. KW - Linear time invariant systems. KW - Systèmes échantillonnés. KW - Systèmes linéaires invariants dans le temps. SN - 9783030724801 SN - 3030724808 TI - Descriptor systems of integer and fractional orders / LK - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-72480-1 UR - https://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-72480-1 ER -