New Trends in Nonlinear Control Theory

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 descriptions 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.