U. J. Aarsnes and O. M. Aamo, Linear stability analysis of self-excited vibrations in drilling using an infinite dimensional model, Journal of Sound and Vibration, vol.360, pp.239-259, 2016.

U. J. Aarsnes, J. Auriol, F. Di-meglio, and R. J. Shor, Estimating friction factors while drilling, Journal of Petroleum Science and Engineering, vol.179, pp.80-91, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02437254

U. J. Aarsnes, F. Di-meglio, and R. J. Shor, Avoiding stick slip vibrations in drilling through startup trajectory design, Journal of Process Control, vol.70, pp.24-35, 2018.
URL : https://hal.archives-ouvertes.fr/hal-02014416

U. J. Aarsnes and R. J. Shor, Torsional vibrations with bit off bottom: Modeling, characterization and field data validation, Journal of Petroleum Science and Engineering, vol.163, pp.712-721, 2018.

J. Auriol, N. Kazemi, K. Innanen, and R. J. Shor, Combining formation seismic velocities while drilling and a pde-ode obvserver to improve the drill-string dynamics estimation, accepted to the American Control Conference, 2020.

I. Boussaada, H. Mounier, S. I. Niculescu, and A. Cela, Analysis of drilling vibrations: A timedelay system approach, 2012 20th Mediterranean Conference on Control & Automation (MED), pp.610-614, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00832013

I. Boussaada, H. Mounier, S. I. Niculescu, and A. Cela, Analysis of drilling vibrations: A timedelay system approach, 2012 20th Mediterranean Conference on Control & Automation (MED), pp.610-614, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00832013

I. Boussaada, H. Mounier, and S. Niculescu, Low complexity controllers for vibrations damping in drilling systems, 2019 American Control Conference (ACC), pp.5228-5233, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02328847

I. Boussaada, S. I. Niculescu, A. El-ati, R. Pérez-ramos, and K. L. Trabelsi, Multiplicity-induceddominancy in parametric second-order delay differential equations: Analysis and application in control design. ESAIM: Control, Optimisation and Calculus of Variations, 2019.

I. Boussaada, S. I. Niculescu, S. Tliba, and T. Vyhlídal, On the coalescence of spectral values and its effect on the stability of time-delay systems: Application to active vibration control, Procedia IUTAM, vol.22, pp.75-82, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01656723

I. Boussaada and S. Niculescu, On the dominancy of multiple spectral values for time-delay systems with applications, vol.51, pp.55-60, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01957523

I. Boussaada, S. Niculescu, and K. Trabelsi, Towards a decay rate assignment based design for timedelay systems with multiple spectral values, 23rd International Symposium on Mathematical Theory of Networks and Systems, pp.864-871, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01957555

I. Boussaada, S. Tliba, S. I. Niculescu, H. U. Ünal, and T. Vyhlídal, Further remarks on the effect of multiple spectral values on the dynamics of timedelay systems. application to the control of a mechanical system, Linear Algebra and its Applications, vol.542, pp.589-604, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01657659

I. Boussaada, H. U. Unal, and S. I. Niculescu, Multiplicity and stable varieties of time-delay systems: A missing link, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01658365

A. Depouhon and E. Detournay, Instability regimes and self-excited vibrations in deep drilling systems, Journal of Sound and Vibration, vol.333, issue.7, pp.2019-2039, 2014.

F. Di-meglio and U. J. Aarsnes, A distributed parameter systems view of control problems in drilling, IFAC-PapersOnLine, vol.48, issue.6, pp.272-278, 2015.

V. A. Dunayevsky and F. Abbassian, Application of stability approach to bit dynamics, SPE Drilling & Completion, vol.13, issue.02, pp.99-107, 1998.

C. Germay, V. Denoël, and E. Detournay, Multiple mode analysis of the self-excited vibrations of rotary drilling systems, Journal of Sound and Vibration, vol.325, issue.1-2, pp.362-381, 2009.

J. K. Hale and S. M. Lunel, Introduction to functional differential equations, vol.99, 2013.

N. D. Hayes, Roots of the transcendental equation associated with a certain difference-differential equation, Journal of the London Mathematical Society, vol.1, issue.3, pp.226-232, 1950.

J. D. Jansen, Nonlinear dynamics of oil well drillstrings, 1995.

J. M. Kamel and A. S. Yigit, Modeling and analysis of stick-slip and bit bounce in oil well drillstrings equipped with drag bits, Journal of Sound and Vibration, vol.333, issue.25, pp.6885-6899, 2014.

M. Kapitaniak, V. V. Hamaneh, J. P. Chávez, K. Nandakumar, and M. Wiercigroch, Unveiling complexity of drill-string vibrations: Experiments and modelling, International Journal of Mechanical Sciences, vol.101, pp.324-337, 2015.

P. Kriesels, W. Keultjes, P. Dumont, I. Huneidi, and O. Owoeye, Cost savings through an integrated approach to drillstring vibration control, SPE/IADC Middle East drilling technology: Abu Dhabi, pp.139-150, 1999.

R. Leine, Literature survey on torsional drillstring vibrations. Division of Computational and Experimental Mechanics, 1997.

H. Logemann, R. Rebarber, and G. Weiss, Conditions for robustness and nonrobustness of the stability of feedback systems with respect to small delays in the feedback loop, SIAM Journal on Control and Optimization, vol.34, issue.2, pp.572-600, 1996.

M. S. Marquez, I. Boussaada, H. Mounier, and S. I. Niculescu, Analysis and control of oilwell drilling vibrations, A Time-Delay Systems Approach, ser. Advances in Industrial Control, 2015.

J. S. Mason and M. Sprawls, Addressing bha whirl-the culprit in mobile bay, SPE/IADC Drilling Conference, 1996.

T. Mori, N. Fukuma, and M. Kuwahara, On an estimate of the decay rate for stable linear delay systems, International Journal of Control, vol.36, issue.1, pp.95-97, 1982.

K. Nandakumar and M. Wiercigroch, Stability analysis of a state dependent delayed, coupled two dof model of drill-stringvibration, Journal of Sound and Vibration, vol.332, issue.10, pp.2575-2592, 2013.

V. Rasvan, A method for distributed parameter control systems and electrical networks analysis, 1975.

B. Saldivar, S. Mondié, J. J. Loiseau, and V. Rasvan, Stick-slip oscillations in oillwell drilstrings: distributed parameter and neutral type retarded model approaches, Proceedings of the 18th IFAC world congress, vol.18, pp.284-289, 2011.

B. Saldivar, S. Mondié, S. I. Niculescu, H. Mounier, and I. Boussaada, A control oriented guided tour in oilwell drilling vibration modeling, Annual reviews in Control, vol.42, pp.100-113, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01425845

A. Serrarens, M. Van-de-molengraft, J. Kok, and L. Van-den-steen, H-infinity control for suppressing stick-slip in oil well drillstrings, IEEE Control Systems Magazine, vol.18, pp.19-30, 1998.

P. Spanos, A. Chevallier, N. P. Politis, and M. L. Payne, Oil and gas well drilling: a vibrations perspective. The Shock and Vibration Digest, vol.35, pp.85-103, 2003.

T. Vyhlidal and P. Zítek, Mapping based algorithm for large-scale computation of quasi-polynomial zeros, IEEE Transactions on Automatic Control, vol.54, issue.1, pp.171-177, 2009.

J. Zhou and M. Krstic, Adaptive predictor control for stabilizing pressure in a managed pressure drilling system under time-delay, Journal of Process Control, vol.40, pp.106-118, 2016.