02879nam 22005895 450 991048306550332120251113194510.03-030-72480-810.1007/978-3-030-72480-1(CKB)4100000011891339(MiAaPQ)EBC6566456(Au-PeEL)EBL6566456(OCoLC)1247381974(PPN)25529249X(DE-He213)978-3-030-72480-1(EXLCZ)99410000001189133920210413d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDescriptor Systems of Integer and Fractional Orders /by Tadeusz Kaczorek, Kamil Borawski1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (xiv, 252 pages) illustrationsStudies in Systems, Decision and Control,2198-4190 ;3673-030-72479-4 Includes bibliographical references.Descriptor Linear Systems -- Fractional Descriptor Linear Systems -- Stability of Positive Descriptor Systems -- Appendix.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.Studies in Systems, Decision and Control,2198-4190 ;367Automatic controlDynamicsNonlinear theoriesControl and Systems TheoryApplied Dynamical SystemsAutomatic control.Dynamics.Nonlinear theories.Control and Systems Theory.Applied Dynamical Systems.003.83Kaczorek T(Tadeusz),1932-720574Borawski KamilMiAaPQMiAaPQMiAaPQBOOK9910483065503321Descriptor Systems of Integer and Fractional Orders1901679UNINA