Title | Algebraic and Geometric Methods in Nonlinear Control Theory [electronic resource] / edited by M. Fliess, M. Hazewinkel |
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Imprint | Dordrecht : Springer Netherlands, 1986 |
Connect to | http://dx.doi.org/10.1007/978-94-009-4706-1 |
Descript | XII, 642 p. online resource |
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