LEADER 03902nam 22006615 450 001 9910254579103321 005 20200630022136.0 010 $a3-319-53040-2 024 7 $a10.1007/978-3-319-53040-6 035 $a(CKB)3850000000027360 035 $a(DE-He213)978-3-319-53040-6 035 $a(MiAaPQ)EBC5590913 035 $a(PPN)200512994 035 $a(EXLCZ)993850000000027360 100 $a20170405d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgorithms of Estimation for Nonlinear Systems $eA Differential and Algebraic Viewpoint /$fby Rafael Martínez-Guerra, Christopher Diego Cruz-Ancona 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XX, 197 p. 58 illus., 10 illus. in color.) 225 1 $aUnderstanding Complex Systems,$x1860-0832 300 $aIncludes index. 311 $a3-319-53039-9 327 $aPreface -- Analysis of input-affine nonlinear processes -- Basic Definitions of Differential Algebras -- Algebraic Observability Condition for Nonlinear systems and External behaviour -- Generalized Observability Canonical Forms -- Observer Synthesis -- Tracking and Stabilization Problems -- Parametric and State Estimation -- Observer synthesis for a more general class of Nonlinear Systems -- A Separation Principle for Nonlinear Systems -- Some uncommon observers with interesting applications -- Appendix A Singularity Treatment -- Appendix B Some properties for Nonlinear Systems. 330 $aThis book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input-affine or bilinear systems, which can serve to approximate a wide class of nonlinear control systems. These can either take the form of state space models or be represented by an input-output equation. The approach taken here further highlights the role of modern mathematical and conceptual tools, including differential algebraic theory, observer design for nonlinear systems and generalized canonical forms. 410 0$aUnderstanding Complex Systems,$x1860-0832 606 $aStatistical physics 606 $aVibration 606 $aDynamical systems 606 $aDynamics 606 $aErgodic theory 606 $aApplications of Nonlinear Dynamics and Chaos Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P33020 606 $aVibration, Dynamical Systems, Control$3https://scigraph.springernature.com/ontologies/product-market-codes/T15036 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090 615 0$aStatistical physics. 615 0$aVibration. 615 0$aDynamical systems. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aApplications of Nonlinear Dynamics and Chaos Theory. 615 24$aVibration, Dynamical Systems, Control. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aStatistical Physics and Dynamical Systems. 676 $a530.15 700 $aMartínez-Guerra$b Rafael$4aut$4http://id.loc.gov/vocabulary/relators/aut$0791790 702 $aCruz-Ancona$b Christopher Diego$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254579103321 996 $aAlgorithms of Estimation for Nonlinear Systems$92047113 997 $aUNINA