This conference on nonlinear control theory was organized within a special "Nonlinear Year" of the French "Centre National de la Recherche Scientifique". This volume is a collection of invited papers giving an overview of new trends in research all over the world. It was the aim of the editors to bring together theoretical contributions by pure mathematicians and more applied communications dedicated to robotics, electrical engines, biology and computer science.
Characterizations of Hamiltonian control systems.- Invariants in the feedback classification of nonlinear systems.- On normal forms of affine systems under feedback.- Transformations of nonlinear systems under external equivalence.- Tracking through singularities.- Controllability of right-invariant systems on semi-simple lie groups.- Stable noninteracting control.- Towards the solution of the nonlinear block decoupling problem.- Linearization of discrete and discretized nonlinear systems.- A condition for the solvability of the nonlinear model matching problem.- Synthesis of non linear observers: A harmonic analysis approach.- Regularly persistent observers for bilinear systems.- A short introduction to differential Galois theory.- Linear algebra and nonlinear control.- Some remarks on nonlinear input-output systems with delays.- Nonlinear state space and input output deillegalscriptions using differential polynomials.- A state elimination procedure for nonlinear systems.- A new regularity theorem for bang-bang trajectories.- On volterra approximations.- The lie saturate and its applications to singular control problems.- Degenerate linear systems with quadratic cost under finiteness assumptions.- Stabilizability and asymptotic stabilizability of the angular velocity of a rigid body.- Asymptotic properties of nonlinear minimum phase systems.- Fraction representations and robust stabilization of nonlinear systems.- Stabilization of nonlinear systems by means of linear feedbacks.- A new approach to identification problems using singular perturbations.- Erratum.- Generating series and singularly perturbed bilinear systems.- From the robustness of stability degree in nature to the control of highly non linear manipulators.- Affine realizations of multimodels characterization, stability, identification.- State estimation and adaptive control of multilinear compartmental systems: Theoretical framework and application to (bio)chemical processes.- Adaptive nonlinear control an estimation-based algorithm.- Adaptive linear control interpreted as nonlinear dynamical feedback for nonlinear systems.- Approximation of a stochastic ergodic control problem.- Support theorems in non-linear filtering.- Ergodicite des systems stochastiques polynomiaux en temps discret.- Generalized inputs to non-linear systems.- Bifurcation dynamique avec bruit multiplicatif.- Remarks on some worked out applications of nonlinear control theory.- Putting physics back in control.- Feedback linearization of a one-link flexible robot arm modelled by partial differential-integral equations.- Hybrid dynamical systems theory and nonlinear dynamical systems over finite fields.- Automatique et regulation biologique.- Internal model control of a steam generator with varying delays.- Non-linear modeling and control of some classes of induction machine.
Inhaltsverzeichnis
Characterizations of Hamiltonian control systems.- Invariants in the feedback classification of nonlinear systems.- On normal forms of affine systems under feedback.- Transformations of nonlinear systems under external equivalence.- Tracking through singularities.- Controllability of right-invariant systems on semi-simple lie groups.- Stable noninteracting control.- Towards the solution of the nonlinear block decoupling problem.- Linearization of discrete and discretized nonlinear systems.- A condition for the solvability of the nonlinear model matching problem.- Synthesis of non linear observers: A harmonic analysis approach.- Regularly persistent observers for bilinear systems.- A short introduction to differential Galois theory.- Linear algebra and nonlinear control.- Some remarks on nonlinear input-output systems with delays.- Nonlinear state space and input output deillegalscriptions using differential polynomials.- A state elimination procedure for nonlinear systems.- A new regularity theorem for bang-bang trajectories.- On volterra approximations.- The lie saturate and its applications to singular control problems.- Degenerate linear systems with quadratic cost under finiteness assumptions.- Stabilizability and asymptotic stabilizability of the angular velocity of a rigid body.- Asymptotic properties of nonlinear minimum phase systems.- Fraction representations and robust stabilization of nonlinear systems.- Stabilization of nonlinear systems by means of linear feedbacks.- A new approach to identification problems using singular perturbations.- Erratum.- Generating series and singularly perturbed bilinear systems.- From the robustness of stability degree in nature to the control of highly non linear manipulators.- Affine realizations of multimodels characterization, stability, identification.- State estimation and adaptive control of multilinear compartmental systems: Theoretical framework and application to (bio)chemical processes.- Adaptive nonlinear control an estimation-based algorithm.- Adaptive linear control interpreted as nonlinear dynamical feedback for nonlinear systems.- Approximation of a stochastic ergodic control problem.- Support theorems in non-linear filtering.- Ergodicite des systems stochastiques polynomiaux en temps discret.- Generalized inputs to non-linear systems.- Bifurcation dynamique avec bruit multiplicatif.- Remarks on some worked out applications of nonlinear control theory.- Putting physics back in control.- Feedback linearization of a one-link flexible robot arm modelled by partial differential-integral equations.- Hybrid dynamical systems theory and nonlinear dynamical systems over finite fields.- Automatique et regulation biologique.- Internal model control of a steam generator with varying delays.- Non-linear modeling and control of some classes of induction machine.
Klappentext
This conference on nonlinear control theory was organized within a special "Nonlinear Year" of the French "Centre National de la Recherche Scientifique". This volume is a collection of invited papers giving an overview of new trends in research all over the world. It was the aim of the editors to bring together theoretical contributions by pure mathematicians and more applied communications dedicated to robotics, electrical engines, biology and computer science.
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