TY - BOOK AU - Martínez-Guerra,Rafael AU - Cruz-Ancona,Christopher Diego ED - SpringerLink (Online service) TI - Algorithms of Estimation for Nonlinear Systems: A Differential and Algebraic Viewpoint T2 - Understanding Complex Systems, SN - 9783319530406 AV - QC174.7-175.36 U1 - 621 23 PY - 2017/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Statistical physics KW - Vibration KW - Dynamical systems KW - Dynamics KW - Ergodic theory KW - Applications of Nonlinear Dynamics and Chaos Theory KW - Vibration, Dynamical Systems, Control KW - Dynamical Systems and Ergodic Theory KW - Statistical Physics and Dynamical Systems N1 - Preface -- 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; Available to subscribing member institutions only. Доступно лише організаціям членам підписки N2 - This 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 UR - https://doi.org/10.1007/978-3-319-53040-6 ER -