A. D. Ames, X. Xu, J. W. Grizzle, and P. Tabuada, Control barrier function based quadratic programs for safety critical systems, IEEE Transactions on Automatic Control, vol.62, issue.8, pp.3861-3876, 2017.

P. Braun and C. M. Kellett, On (the existence of) control Lyapunov barrier functions

P. Braun, C. M. Kellett, and L. Zaccarian, Unsafe point avoidance in linear state feedback, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01995607

R. W. Brockett, Asymptotic stability and feedback stabilization, Differential Geometric Control Theory, vol.27, issue.1, pp.181-191, 1983.

R. Goebel, R. G. Sanfelice, and A. R. Teel, Hybrid Dynamical Systems: modeling, stability, and robustness, 2012.

A. M. Lyapunov, The general problem of the stability of motion, International Journal of Control, vol.55, issue.3, pp.531-534, 1892.

C. G. Mayhew and A. R. Teel, Hybrid control of planar rotations, Proc. of IEEE American Control Conference (ACC), pp.154-159, 2010.

K. B. Ngo, R. Mahony, and Z. Jiang, Integrator backstepping using barrier functions for systems with multiple state constraints, Proc. of the 44th IEEE Conference on Decision and Control, pp.8306-8312, 2005.

C. Prieur, Uniting local and global controllers with robustness to vanishing noise, Mathematics of Controls, Signals and Systems, vol.14, pp.143-172, 2001.

C. Prieur and A. R. Teel, Uniting local and global output feedback controllers, IEEE Transactions on Automatic Control, vol.56, issue.7, pp.1636-1649, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00608429

M. Z. Romdlony and B. Jayawardhana, Stabilization with guaranteed safety using control Lyapunov-barrier function, Automatica, vol.66, pp.39-47, 2016.

R. G. Sanfelice, M. J. Messina, S. E. Tuna, and A. R. Teel, Robust hybrid controllers for continuous-time systems with applications to obstacle avoidance and regulation to disconnected set of points, American Control Conference, vol.6, 2006.

R. G. Sanfelice and C. Prieur, Robust supervisory control for uniting two output-feedback hybrid controllers with different objectives, Automatica, vol.49, issue.7, pp.1958-1969, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00831436

E. D. Sontag, A 'universal' construction of Artstein's theorem on nonlinear stabilization, Systems & Control Letters, vol.13, issue.2, pp.117-123, 1989.

K. P. Tee, S. S. Ge, and E. H. Tay, Barrier Lyapunov functions for the control of output-constrainted nonlinear systems, Automatica, vol.45, issue.4, pp.918-927, 2009.

A. R. Teel and N. Kapoor, Uniting local and global controllers, Proceedings of the European Control Conference, number FR-A-G3, 1997.
URL : https://hal.archives-ouvertes.fr/hal-00608429

S. E. Tuna, R. G. Sanfelice, M. J. Messina, and A. R. Teel, Hybrid MPC: Open-Minded but Not Easily Swayed, pp.17-34, 2007.

P. Wieland and F. Allgöwer, Constructive safety using control barrier functions. IFAC Proceedings Volumes, vol.40, pp.462-467, 2007.