LEADER 03959nam 22006375 450 001 9910299473703321 005 20200701001635.0 010 $a3-319-04834-1 024 7 $a10.1007/978-3-319-04834-5 035 $a(CKB)3710000000088129 035 $a(EBL)1697933 035 $a(OCoLC)870410068 035 $a(SSID)ssj0001182752 035 $a(PQKBManifestationID)11714346 035 $a(PQKBTitleCode)TC0001182752 035 $a(PQKBWorkID)11174135 035 $a(PQKB)11740921 035 $a(MiAaPQ)EBC1697933 035 $a(DE-He213)978-3-319-04834-5 035 $a(PPN)176751637 035 $a(EXLCZ)993710000000088129 100 $a20140206d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe Realization Problem for Positive and Fractional Systems /$fby Tadeusz Kaczorek, Lukasz Sajewski 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2014. 215 $a1 online resource (599 p.) 225 1 $aStudies in Systems, Decision and Control,$x2198-4182 ;$v1 300 $aDescription based upon print version of record. 311 $a3-319-04833-3 320 $aIncludes bibliographical references and index. 327 $aRealization problem of 1D standard linear systems -- Realization problem of 1D positive regular linear systems -- Realization problem of 1D positive regular linear systems with delays -- Positive stable realization problem for 1D regular linear systems -- Positive realization problem of 1D descriptor linear systems -- Positive realization problem for 1D regular fractional linear systems -- Positive realization problem for 1D descriptor fractional linear systems -- Positive realization problem for 2D continuous-discrete linear systems. 330 $aThis book addresses the realization problem of positive and fractional continuous-time and discrete-time linear systems. Roughly speaking the essence of the realization problem can be stated as follows: Find the matrices of the state space equations of linear systems for given their transfer matrices. This first book on this topic shows how many well-known classical approaches have been extended to the new classes of positive and fractional linear systems. The modified Gilbert method for multi-input multi-output linear systems, the method for determination of realizations in the controller canonical forms and in observer canonical forms are presented. The realization problem for linear systems described by differential operators, the realization problem in the Weierstrass canonical forms and of the descriptor linear systems for given Markov parameters are addressed. The book also presents a method for the determination of minimal realizations of descriptor linear systems and an extension for cone linear systems. This monographs summarizes recent original investigations of the authors in the new field of the positive and fractional linear systems. 410 0$aStudies in Systems, Decision and Control,$x2198-4182 ;$v1 606 $aAutomatic control 606 $aSystem theory 606 $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010 606 $aSystems Theory, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/M13070 615 0$aAutomatic control. 615 0$aSystem theory. 615 14$aControl and Systems Theory. 615 24$aSystems Theory, Control. 676 $a003.74015118 700 $aKaczorek$b Tadeusz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0720574 702 $aSajewski$b Lukasz$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299473703321 996 $aThe Realization Problem for Positive and Fractional Systems$92262107 997 $aUNINA