LEADER 04253nam 22006855 450 001 9910299664703321 005 20200701085343.0 010 $a3-319-11361-5 024 7 $a10.1007/978-3-319-11361-6 035 $a(CKB)3710000000261987 035 $a(EBL)1967731 035 $a(OCoLC)908087715 035 $a(SSID)ssj0001372474 035 $a(PQKBManifestationID)11831421 035 $a(PQKBTitleCode)TC0001372474 035 $a(PQKBWorkID)11305054 035 $a(PQKB)11002967 035 $a(DE-He213)978-3-319-11361-6 035 $a(MiAaPQ)EBC1967731 035 $a(PPN)182097048 035 $a(EXLCZ)993710000000261987 100 $a20141013d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFractional Linear Systems and Electrical Circuits /$fby Tadeusz Kaczorek, Krzysztof Rogowski 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (260 p.) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v13 300 $aDescription based upon print version of record. 311 $a3-319-11360-7 320 $aIncludes bibliographical references and index. 327 $aFractional differential equations -- Positive fractional electrical circuits -- Descriptor linear electrical circuits and their properties -- Stability of positive standard linear electrical circuits -- Reachability, observability and reconstructability -- Standard and fractional linear circuits with feedbacks -- Minimum energy control of electrical circuits -- Fractional 2D systems described by the Roesser model -- Laplace transforms and Z-transforms -- Elementary operations on matrices -- Nilpotent matrices -- Drazin inverse matrix. 330 $aThis monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed.  Descriptor linear electrical circuits and their properties are investigated in chapter 3,  while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.  . 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v13 606 $aControl engineering 606 $aComputational intelligence 606 $aElectronic circuits 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aCircuits and Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/T24068 615 0$aControl engineering. 615 0$aComputational intelligence. 615 0$aElectronic circuits. 615 14$aControl and Systems Theory. 615 24$aComputational Intelligence. 615 24$aCircuits and Systems. 676 $a003.74 700 $aKaczorek$b Tadeusz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720574 702 $aRogowski$b Krzysztof$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299664703321 996 $aFractional Linear Systems and Electrical Circuits$92497645 997 $aUNINA