M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1972.

S. Adachi and H. Sano, Active Noise Control System for Automobiles Based on Adaptive and Robusst Control, Procedings of the IEEE International Conference on Control Application, 1998.

A. Angot, Compléments de mathématiques à l'usage des ingénieurs de l'électrotechnique et des télécommunications, 1982.

P. Benner, System-Theoretic Methods for Model Reduction of Large Scale Systems: Simulation, Control, and Inverse Problems, Vienna International Conference on Mathematical Modelling, 2009.

R. Blevins, Flow-Induced Vibration, 1990.

J. Chauvin, G. Corde, N. Petit, and P. Rouchon, Periodic input estimation for linear periodic systems: Automotive engine applications, Automatica, vol.43, issue.6, pp.43-971, 2007.
DOI : 10.1016/j.automatica.2006.12.012

URL : https://hal.archives-ouvertes.fr/hal-00533372

I. Chowdhury and S. P. Dasgupta, Computation of Rayleigh Damping Coecients for Large Systems, Electronic Journal of Geotechnichal Engineering, 2003.

A. H. El-sinawi, Active vibration isolation of a flexible structure mounted on a vibrating elastic base, Journal of Sound and Vibration, vol.271, issue.1-2, pp.1-2, 2004.
DOI : 10.1016/S0022-460X(03)00771-5

M. L. Facchinetti, Un Modèle Phénoménologique des Vibrations Induites par Détachement Tourbillonaire, 2003.

M. P. Fard, Modelling and Control of Mechanical Flexible Systems, 2001.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Flatness and defect of nonlinear systems: introductory theory and examples, Int. J. Control, issue.6, p.6113271361, 1995.

E. Fortaleza, Y. Cre, J. Lévine, and D. Averbuch, Méthode et Dispositif Améliorés de Limitation des Vibrations Induites par Vortex d'une Structure Allongée, 2007.

E. Fortaleza, Y. Cre, and J. Levine, Active Control of Vertical Risers Undergoing Vortex-Induced Vibrations, Volume 5: Materials Technology; CFD and VIV, 2008.
DOI : 10.1115/OMAE2008-57244

URL : https://hal.archives-ouvertes.fr/hal-00575674

E. Fortaleza, Y. Cre, and J. Levine, Active Control and Motion Planning for Oshore Structures, Fourth European Conference on Structural Control, 2008.

E. Fortaleza, Y. Cre, and J. Levine, Active Control for the Re- Entry Operation of Flexible Risers, Vienna International Conference on Mathematical Modelling, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00575675

J. Greenberg, Deepwater drilling equipment, Kingdom Drilling, 2007.

R. Govardhan and C. H. Williamson, Modes of vortex formation and frequency response of a freely vibrating cylinder, Journal of Fluid Mechanics, vol.420, issue.85130, pp.11-14, 2000.
DOI : 10.1017/S0022112000001233

J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vertical Fields, 1983.

C. Hoen and G. Moe, Modal Decomposition of Measured Vortex Induced Response of Drilling Risers, Proceedings of the Ninth(1999) International Oshore and Polar Engineering Conference, p.679687, 1999.

J. R. Hogsberg and S. Krenk, Linear control strategies for damping of flexible structures, Journal of Sound and Vibration, vol.293, issue.1-2, pp.1-2, 2006.
DOI : 10.1016/j.jsv.2005.09.014

B. V. Howetal, Active control of exible marine risers, Journal of Sound and Vibration, 2008.

D. J. Inman, Engineering Vibration, 2000.

M. E. Ismail and M. E. Muldoon, Bounds for the small real and purely imaginary zeros of Bessel and related functions, Methods and Applications of Analysis, vol.2, issue.1, p.121, 1995.
DOI : 10.4310/MAA.1995.v2.n1.a1

T. Ioki, K. Ohtsubo, H. Kajiwara, W. Koterayama, and M. Nakamura, On Vibration Control of Flexible Pipes in Ocean Drilling System, International Oshore and Polar Engineering Conference, 2006.

C. M. Larsen, Empirical VIV Models, Workshop on Vortex- Induced Vibrations (VIV) of Oshore Structures, 2000.

L. Cun, C. Averbuch, D. Kloper, and M. , System and Method for Limiting Vortex-Induced Vibrations on an Oshore Production Riser

J. Levine, Analyse et Commande des Systèmes Non Linéaires, 2004.

E. P. Popov, Engineering Mechanics of Solids, 1990.

C. P. Sparks, Transverse Modal Vibrations, Oil, Gas and Technology -IFP Revue, 2002.

R. Sabri, J. Lévine, F. Biolley, Y. Cre, C. Le-cun et al., Connection of the riser to the well-head using active control, Deep Oshore Technology Conference, 2003.

R. Sabri, Installation des Conduites Pétrolières en Mer Profonde par Contrôle Actif, 2004.

N. Petit and P. Rouchon, Flatness of Heavy Chain Systems, SIAM Journal on Control and Optimization, vol.40, issue.2, pp.475-495, 2001.
DOI : 10.1137/S0363012900368636

N. Petit and P. Rouchon, Flatness of Heavy Chain Systems, 41st IEEE Conference on Decision and Control, 2002.

J. E. Slotine and L. Weiping, Applied Nonlinear Control, 1991.

J. K. Vandiver, Dimensionless Parameters Important to the Prediction of Vortex-Induced Vibration of Long, Flexible Cylinders in Ocean Currents, Journal of Fluids and Structures, vol.7, issue.5, p.423455, 1993.
DOI : 10.1006/jfls.1993.1028

R. Violette, E. De-langre, and J. Szydlowski, Computation of vortex-induced vibrations of long structures using a wake oscillator model: Comparison with DNS and experiments, Computers & Structures, vol.85, issue.11-14, pp.11-14, 2007.
DOI : 10.1016/j.compstruc.2006.08.005

URL : https://hal.archives-ouvertes.fr/hal-01023084

S. Wiggins, Introduction to Applied Nonlinear Dynamical Systems and Chaos, 1990.
DOI : 10.1007/978-1-4757-4067-7

C. A. Woolsey, Lecture Notes: Computer Aided Control System Design, Virginia Tech Department of Aerospace and Ocean Engineering, www.aoe.vt, 2006.

D. Thull, D. Wild, and K. Kugi, Application of Combined Flatnessand Passivity-Based Control Concept to a Crane With Heavy Chains and Payload, IEEE International Conference on Control Applications, 2006.

G. Vaz, K. Christiaan, and C. Monroy, Viscous Flow Computations on Risers-From 2D bare smooth cylinders towards 3D straked rough risers, Revue of International Conference on Oshore Mechanics and Arctic Engineering, 2008.

K. Vikestad, J. K. Vandiver, and C. M. Larsen, Added Mass and Oscilation Frequency for a Circular Cylender Subjected to Vortex-Induced Vibrations and External Disturbance, Journal of Fluids and Structures, vol.14, 2000.

M. Yamamoto, C. K. Morooka, and S. Ueno, Dynamic Behavior of a Semi-Submersible Platform Coupled With Drilling Riser During Re-Entry Operation in Ultra-Deep Water, Volume 1: Offshore Technology; Special Symposium on Ocean Measurements and Their Influence on Design, 2007.
DOI : 10.1115/OMAE2007-29221