W. H. Aangenent, G. Witvoet, W. P. Heemels, M. J. Van-de-molengraft, and M. Steinbuch, Performance analysis of reset control systems, International Journal of Robust and Nonlinear Control, vol.32, issue.3, pp.1213-1233, 2010.
DOI : 10.1002/rnc.1502

A. Anta and P. Tabuada, To Sample or not to Sample: Self-Triggered Control for Nonlinear Systems, IEEE Transactions on Automatic Control, vol.55, issue.9, pp.2030-2042, 2010.
DOI : 10.1109/TAC.2010.2042980

Z. Artstein, Stabilization with relaxed controls, Nonlinear Analysis: Theory, Methods & Applications, vol.7, issue.11, pp.1163-1173, 1983.
DOI : 10.1016/0362-546X(83)90049-4

O. Beker, C. Hollot, and Y. Chait, Plant with integrator: an example of reset control overcoming limitations of linear feedback, IEEE Transactions on Automatic Control, vol.46, issue.11, pp.1797-1799, 2001.
DOI : 10.1109/9.964694

O. Beker, C. Hollot, and Y. Chait, Fundamental properties of reset control systems, Automatica, vol.40, issue.6, pp.905-915, 2004.
DOI : 10.1016/j.automatica.2004.01.004

F. Fichera, C. Prieur, S. Tarbouriech, and L. Zaccarian, Hybrid state-feedback loops based on a dwelltime logic, Proc. of 4th IFAC Conf. on Analysis and Design of Hybrid Systems (ADHS), 2012.
URL : https://hal.archives-ouvertes.fr/hal-00734468

F. Fichera, C. Prieur, S. Tarbouriech, and L. Zaccarian, Improving the performance of linear systems by adding a hybrid loop: The output feedback case, 2012 American Control Conference (ACC), 2012.
DOI : 10.1109/ACC.2012.6315355
URL : https://hal.archives-ouvertes.fr/hal-00734467

R. A. Freeman and P. V. Kokotovi´ckokotovi´c, Inverse Optimality in Robust Stabilization, SIAM Journal on Control and Optimization, vol.34, issue.4, pp.1365-1391, 1996.
DOI : 10.1137/S0363012993258732

R. Goebel, R. Sanfelice, and A. Teel, Hybrid dynamical systems, IEEE Control Systems, vol.29, issue.2, pp.28-93, 2009.
DOI : 10.1109/MCS.2008.931718

R. Goebel and A. R. Teel, Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems, SIAM Review, vol.52, issue.1, pp.87-109, 2010.
DOI : 10.1137/090749797

W. M. Haddad, V. Chellaboina, and N. A. Kablar, Non-linear impulsive dynamical systems. Part II: Stability of feedback interconnections and optimality, International Journal of Control, vol.1, issue.17, pp.1659-1677, 2001.
DOI : 10.1109/TAC.1976.1101262

M. Lazar and W. Heemels, Predictive control of hybrid systems: Input-to-state stability results for sub-optimal solutions, Automatica, vol.45, issue.1, pp.180-185, 2009.
DOI : 10.1016/j.automatica.2008.06.007

Y. Lin and E. Sontag, A universal formula for stabilization with bounded controls, Systems & Control Letters, vol.16, issue.6, pp.393-397, 1991.
DOI : 10.1016/0167-6911(91)90111-Q

D. Ne?-si´csi´c, L. Zaccarian, and A. R. Teel, Stability properties of reset systems, IFAC World Congress, 2005.

D. Ne?-si´csi´c, L. Zaccarian, and A. R. Teel, Stability properties of reset systems, Automatica, vol.44, issue.8, pp.2019-2026, 2008.

D. Ne?i´ne?i´c, A. Teel, and L. Zaccarian, Stability and Performance of SISO Control Systems With First-Order Reset Elements, IEEE Transactions on Automatic Control, vol.56, issue.11, pp.2567-2582, 2011.
DOI : 10.1109/TAC.2011.2114436

Z. Pan, K. Ezal, A. Krener, and P. Kokotovic, Backstepping design with local optimality matching, IEEE Transactions on Automatic Control, vol.46, issue.7, pp.1014-1027, 2001.
DOI : 10.1109/9.935055

C. Prieur and A. Astolfi, Robust stabilization of chained systems via hybrid control, IEEE Transactions on Automatic Control, vol.48, issue.10, pp.1768-1772, 2003.
DOI : 10.1109/TAC.2003.817909

C. Prieur, S. Tarbouriech, and L. Zaccarian, Guaranteed stability for nonlinear systems by means of a hybrid loop, IFAC Symp. on Nonlinear Control Systems, pp.72-77, 2010.
DOI : 10.3182/20100901-3-IT-2016.00183

C. Prieur, S. Tarbouriech, and L. Zaccarian, Improving the performance of linear systems by adding a hybrid loop, 18th IFAC World Congress, pp.6301-6306, 2011.
DOI : 10.3182/20110828-6-IT-1002.02717
URL : https://hal.archives-ouvertes.fr/hal-00734467

R. Sanfelice, R. Goebel, and A. R. Teel, Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability, IEEE Transactions on Automatic Control, vol.52, issue.12, pp.2282-2297, 2007.
DOI : 10.1109/TAC.2007.910684

R. Sanfelice, A. Teel, R. Goebel, and C. Prieur, On the robustness to measurement noise and unmodeled dynamics of stability in hybrid systems, 2006 American Control Conference, pp.4061-4066, 2006.
DOI : 10.1109/ACC.2006.1657354

L. Zaccarian, D. Ne?-si´csi´c, and A. R. Teel, Analytical and numerical Lyapunov functions for SISO linear control systems with first-order reset elements, International Journal of Robust and Nonlinear Control, vol.44, issue.4, pp.1134-1158, 2011.
DOI : 10.1002/rnc.1649