LEADER 03282nam 22006855 450 001 9910484927803321 005 20251113202041.0 010 $a3-030-59654-0 024 7 $a10.1007/978-3-030-59654-5 035 $a(CKB)4100000011773972 035 $a(MiAaPQ)EBC6483819 035 $a(PPN)253861438 035 $a(Au-PeEL)EBL6483819 035 $a(OCoLC)1238090451 035 $a(DE-He213)978-3-030-59654-5 035 $a(EXLCZ)994100000011773972 100 $a20210217d2021 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to Mathematical Systems Theory $eDiscrete Time Linear Systems, Control and Identification /$fby Christiaan Heij, André C.M. Ran, Frederik van Schagen 205 $a2nd ed. 2021. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2021. 215 $a1 online resource (199 pages) 225 1 $aMathematics and Statistics Series 311 08$a3-030-59652-4 327 $aPreface -- Dynamical Systems -- Input-Output Systems -- State Space Models -- Stability -- Optimal Control -- Stochastic Systems -- Filtering and Prediction -- Stochastic Control -- System Identification -- Cycles and Trends -- Further Developments. 330 $aThis book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation. This second edition has been updated and slightly expanded. In addition, supplementary material containing the exercises are now available on the Springer Link's book website. 410 0$aMathematics and Statistics Series 606 $aSystem theory 606 $aControl theory 606 $aMathematics 606 $aProbabilities 606 $aMathematics$xData processing 606 $aSystems Theory, Control 606 $aApplications of Mathematics 606 $aProbability Theory 606 $aComputational Science and Engineering 615 0$aSystem theory. 615 0$aControl theory. 615 0$aMathematics. 615 0$aProbabilities. 615 0$aMathematics$xData processing. 615 14$aSystems Theory, Control. 615 24$aApplications of Mathematics. 615 24$aProbability Theory. 615 24$aComputational Science and Engineering. 676 $a003 700 $aHeij$b C.$01191856 702 $aRan$b Andre C. M. 702 $aSchagen$b Frederik van 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484927803321 996 $aIntroduction to mathematical systems theory$92831542 997 $aUNINA