TY - GEN AU - Martinez-Guerra, Rafael AU - Cruz-Ancona, Christopher Diego TI - Algorithms of estimation for nonlinear systems: a differential and algebraic viewpoint T2 - / edited by S. Kelso SN - 9783319530390 U1 - 003.75 PY - 2017/// CY - Switzerland PB - Springer KW - Estimation theory KW - Physics N1 - 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 ER -