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.

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.

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