Algebraic and geometric methods in nonlinear control theory 978-94-009-4706-1, 9400947062, 978-94-010-8593-9

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the

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English Pages [629] Year 1986

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Algebraic and geometric methods in nonlinear control theory
 978-94-009-4706-1, 9400947062, 978-94-010-8593-9

Table of contents :
Front Matter....Pages i-xii
Front Matter....Pages 1-1
Realization Theory for Nonlinear Systems; Three Approaches....Pages 3-31
The Local Realization of Generating Series of Finite Lie Rank....Pages 33-43
Realizations of Polynomial Systems....Pages 45-54
Symmetries and Local Controllability....Pages 55-75
The Intrinsic Geometry of Dynamic Observations....Pages 77-87
Design of Nonlinear Observers by a Two-Step-Transformation....Pages 89-98
Front Matter....Pages 99-99
On the Input-Output Decoupling of Nonlinear Systems....Pages 101-119
Control of Nonlinear Systems Via Dynamic State-Feedback....Pages 121-145
A Classification of Nonlinear Systems Based on the Invariant Subdistribution Algorithm....Pages 147-157
Asymptotic Expansions, Root-Loci and the Global Stability of Nonlinear Feedback Systems....Pages 159-179
Everything You Always Wanted to Know about Linearization....Pages 181-226
Feedback Linearization and Simultaneous Output Block Decoupling of Nonlinear Systems....Pages 227-241
Global Feedback Linearizability of Locally Linearizable Systems....Pages 243-256
Global Aspects of Linearization, Equivalence to Polynomial Forms and Decomposition of Nonlinear Control Systems....Pages 257-284
The Extended-Linearization Approach for Nonlinear Systems Problems....Pages 285-309
About the Local Linearization of Nonlinear Systems....Pages 311-322
Front Matter....Pages 323-323
Envelopes, Conjugate Points, and Optimal Bang-Bang Extremals....Pages 325-346
Geometry of the Optimal Control....Pages 347-369
Volterra Series and Optimal Control....Pages 371-387
Optimal Control and Hamiltonian Input-Output Systems....Pages 389-407
Front Matter....Pages 409-409
Nonlinear Systems in Discrete Time....Pages 411-430
Local Input-Output Decoupling of Discrete Time Nonlinear Systems....Pages 431-439
Orbit Theorems and Sampling....Pages 441-483
Front Matter....Pages 485-485
An Infinite Dimensional Variational Problem Arising in Estimation Theory....Pages 487-498
Iterated Stochastic Integrals in Non Linear Control Theory....Pages 499-510
Approximation of Nonlinear Systems by Bilinear Ones....Pages 511-520
Front Matter....Pages 521-521
Feedback Linearization Techniques in Robotics and Power Systems....Pages 523-543
C.A.D. for Nonlinear Systems Decoupling, Perturbations Rejection and Feedback Linearization with Applications to the Dynamic Control of a Robot Arm....Pages 545-572
A Nonlinear Feedback Control Law for Attitude Control....Pages 573-595
Identification of Different Discrete Models of Continuous Non-Linear Systems. Application to Two Industrial Pilot Plants.....Pages 597-621
Bang-Bang Solutions for a Class of Problems Arising in Thermal Control....Pages 623-632
Back Matter....Pages 633-642

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