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