LEADER 02732nam 2200553 450 001 9910483065503321 005 20240216162139.0 010 $a3-030-72480-8 035 $a(CKB)4100000011891339 035 $a(MiAaPQ)EBC6566456 035 $a(Au-PeEL)EBL6566456 035 $a(OCoLC)1247381974 035 $a(PPN)25529249X 035 $a(EXLCZ)994100000011891339 100 $a20211118d2021 fy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDescriptor systems of integer and fractional orders /$fTadeusz Kaczorek, Kamil Borawski 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$d©2021 215 $a1 online resource (xiv, 252 pages) $cillustrations 225 1 $aStudies in systems, decision and control$vv.367 311 1 $a3-030-72479-4 320 $aIncludes bibliographical references. 327 $aDescriptor Linear Systems Fractional Descriptor Linear Systems Stability of Positive Descriptor Systems Appendix 330 $aThis book covers some selected problems of the descriptor integer and fractional order positive continuous-time and discrete-time systems. The book consists of 3 chapters, 4 appendices and the list of references. Chapter 1 is devoted to descriptor integer order continuous-time and discrete-time linear systems. In Chapter 2, descriptor fractional order continuous-time and discrete-time linear systems are considered. Chapter 3 is devoted to the stability of descriptor continuous-time and discrete-time systems of integer and fractional orders. In Appendix A, extensions of the Cayley-Hamilton theorem for descriptor linear systems are given. Some methods for computation of the Drazin inverse are presented in Appendix B. In Appendix C, some basic definitions and theorems on Laplace transforms and Z-transforms are given. Some properties of the nilpotent matrices are given in Appendix D. 410 0$aStudies in systems, decision and control ;$v367. 606 $aDiscrete-time systems 606 $aLinear time invariant systems 606 $aSistemes de temps discret$2thub 606 $aSistemes lineals$2thub 608 $aLlibres electrònics$2thub 615 0$aDiscrete-time systems. 615 0$aLinear time invariant systems. 615 7$aSistemes de temps discret 615 7$aSistemes lineals 676 $a003.83 700 $aKaczorek$b T$g(Tadeusz),$f1932-$0720574 702 $aBorawski$b Kamil 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483065503321 996 $aDescriptor Systems of Integer and Fractional Orders$91901679 997 $aUNINA