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Algebraic and Geometric Methods in Nonlinear Control Theory

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Cover of 'Algebraic and Geometric Methods in Nonlinear Control Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Realization Theory for Nonlinear Systems; Three Approaches
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    Chapter 2 The Local Realization of Generating Series of Finite Lie Rank
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    Chapter 3 Realizations of Polynomial Systems
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    Chapter 4 Symmetries and Local Controllability
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    Chapter 5 The Intrinsic Geometry of Dynamic Observations
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    Chapter 6 Design of Nonlinear Observers by a Two-Step-Transformation
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    Chapter 7 On the Input-Output Decoupling of Nonlinear Systems
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    Chapter 8 Control of Nonlinear Systems Via Dynamic State-Feedback
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    Chapter 9 A Classification of Nonlinear Systems Based on the Invariant Subdistribution Algorithm
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    Chapter 10 Asymptotic Expansions, Root-Loci and the Global Stability of Nonlinear Feedback Systems
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    Chapter 11 Everything You Always Wanted to Know about Linearization
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    Chapter 12 Feedback Linearization and Simultaneous Output Block Decoupling of Nonlinear Systems
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    Chapter 13 Global Feedback Linearizability of Locally Linearizable Systems
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    Chapter 14 Global Aspects of Linearization, Equivalence to Polynomial Forms and Decomposition of Nonlinear Control Systems
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    Chapter 15 The Extended-Linearization Approach for Nonlinear Systems Problems
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    Chapter 16 About the Local Linearization of Nonlinear Systems
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    Chapter 17 Envelopes, Conjugate Points, and Optimal Bang-Bang Extremals
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    Chapter 18 Geometry of the Optimal Control
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    Chapter 19 Volterra Series and Optimal Control
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    Chapter 20 Optimal Control and Hamiltonian Input-Output Systems
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    Chapter 21 Nonlinear Systems in Discrete Time
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    Chapter 22 Local Input-Output Decoupling of Discrete Time Nonlinear Systems
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    Chapter 23 Orbit Theorems and Sampling
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    Chapter 24 An Infinite Dimensional Variational Problem Arising in Estimation Theory
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    Chapter 25 Iterated Stochastic Integrals in Non Linear Control Theory
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    Chapter 26 Approximation of Nonlinear Systems by Bilinear Ones
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    Chapter 27 Feedback Linearization Techniques in Robotics and Power Systems
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    Chapter 28 C.A.D. for Nonlinear Systems Decoupling, Perturbations Rejection and Feedback Linearization with Applications to the Dynamic Control of a Robot Arm
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    Chapter 29 A Nonlinear Feedback Control Law for Attitude Control
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    Chapter 30 Identification of Different Discrete Models of Continuous Non-Linear Systems. Application to Two Industrial Pilot Plants.
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    Chapter 31 Bang-Bang Solutions for a Class of Problems Arising in Thermal Control
Attention for Chapter 9: A Classification of Nonlinear Systems Based on the Invariant Subdistribution Algorithm
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Chapter title
A Classification of Nonlinear Systems Based on the Invariant Subdistribution Algorithm
Chapter number 9
Book title
Algebraic and Geometric Methods in Nonlinear Control Theory
Published by
Springer, Dordrecht, January 1986
DOI 10.1007/978-94-009-4706-1_9
Book ISBNs
978-9-40-108593-9, 978-9-40-094706-1
Authors

Maria Domenia Di Benedetto