Algebraic and geometric methods in nonlinear control theory.
General Material Designation
[Book]
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
[Place of publication not identified]
Name of Publisher, Distributor, etc.
Springer
Date of Publication, Distribution, etc.
2013
CONTENTS NOTE
Text of Note
Controllability, Observability, Realization and other Structural Properties.- Realization Theory for Nonlinear Systems; Three Approaches.- The Local Realization of Generating Series of Finite Lie Rank.- Realizations of Polynomial Systems.- Symmetries and Local Controllability.- The Intrinsic Geometry of Dynamic Observations.- Design of Nonlinear Observers by a Two-Step-Transformation.- Feedback Synthesis and Linearization Techniques.- On the Input-Output Decoupling of Nonlinear Systems.- Control of Nonlinear Systems Via Dynamic State-Feedback.- A Classification of Nonlinear Systems Based on the Invariant Subdistribution Algorithm.- Asymptotic Expansions, Root-Loci and the Global Stability of Nonlinear Feedback Systems.- Everything You Always Wanted to Know About Linearization.- Feedback Linearization and Simultaneous Output Block Decoupling of Nonlinear Systems.- Global Feedback Linearizability of Locally Linearizable Systems.- Global Aspects of Linearization, Equivalence to Polynomial Forms and Decomposition of Nonlinear Control Systems.- The Extended-Linearization Approach for Nonlinear Systems Problems.- About the Local Linearization of Nonlinear Systems.- Optimal Control.- Envelopes, Conjugate Points, and Optimal Bang-Bang Extremals.- Geometry of the Optimal Control.- Volterra Series and Optimal Control.- Optimal Control and Hamiltonian Input-Output Systems.- Discrete-Time Systems.- Nonlinear Systems in Discrete Time.- Local Input-Output Decoupling of Discrete Time Nonlinear Systems.- Orbit Theorems and Sampling.- Various other Theoretical Aspects.- An Infinite Dimensional Variational Problem Arising in Estimation Theory.- Iterated Stochastic Integrals in Nonlinear Control Theory.- Approximation of Nonlinear Systems by Bilinear Ones.- Applications.- Feedback Linearization Techniques in Robotics and Power Systems.- C.A.D. for Nonlinear Systems Decoupling, Perturbations Rejection and Feedback Linearization with Applications to the Dynamic Control of a Robot Arm.- A Nonlinear Feedback Control Law for Attitude Control.- Identification of Different Discrete Models of Continuous Non-linear Systems. Application to Two Industrial Pilot Plants.- Bang-Bang Solutions for a Class of Problems Arising in Thermal Control.