K. E. Arzén, A simple event-based PID controller, Proceedings of the 14th IFAC World Congress, pp.423-428, 1999.

K. J. Aström and B. M. Bernhardsson, Comparison of periodic and event based sampling for first-order stochastic systems, Proceedings of the 14th IFAC World congress, pp.301-306, 1999.

K. J. Aström and B. M. Bernhardsson, Comparison of Riemann and Lebesgue sampling for first order stochastic systems, Proceedings of the 41st IEEE Conference on Decision and Control, 2002., pp.2011-2016, 2002.
DOI : 10.1109/CDC.2002.1184824

F. H. Clarke, Optimization and nonsmooth analysis, Classics in Applied Mathematics, vol.5, 1990.
DOI : 10.1137/1.9781611971309

M. C. Donkers and W. P. Heemels, Output-Based Event-Triggered Control With Guaranteed <formula formulatype="inline"><tex Notation="TeX">${\cal L}_{\infty}$</tex></formula>-Gain and Improved and Decentralized Event-Triggering, IEEE Transactions on Automatic Control, vol.57, issue.6, pp.1362-1376, 2012.
DOI : 10.1109/TAC.2011.2174696

F. Forni, S. Galeani, D. Ne?i´ne?i´c, and L. Zaccarian, Lazy sensors for the scheduling of measurement samples transmission in linear closed loops over networks, 49th IEEE Conference on Decision and Control (CDC), pp.6469-6474, 2010.
DOI : 10.1109/CDC.2010.5717287

R. Goebel, R. G. Sanfelice, and A. R. Teel, Invariance principles for switching systems via hybrid systems techniques, Systems & Control Letters, vol.57, issue.12, pp.980-986, 2008.
DOI : 10.1016/j.sysconle.2008.06.002

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

L. Grüne, Asymptotic behavior of dynamical and control systems under pertubation and discretization. Number 1783, 2002.

W. P. Heemels, M. C. Donkers, and A. R. Teel, Periodic Event-Triggered Control for Linear Systems, IEEE Transactions on Automatic Control, vol.58, issue.4, pp.847-861, 2013.
DOI : 10.1109/TAC.2012.2220443

W. P. Heemels, J. H. Sandee, P. P. Van-den, and . Bosch, Analysis of event-driven controllers for linear systems, International Journal of Control, vol.6, issue.4, pp.571-590, 2009.
DOI : 10.1109/37.898794

H. K. Khalil, Nonlinear systems, 2002.

E. Kofman and J. H. Braslavsky, Level Crossing Sampling in Feedback Stabilization under Data-Rate Constraints, Proceedings of the 45th IEEE Conference on Decision and Control, pp.4423-4428, 2006.
DOI : 10.1109/CDC.2006.377483

M. Krsti´ckrsti´c and P. V. Kokotovi´ckokotovi´c, Lean backstepping design for a jet engine compressor model, Proceedings of the 4th IEEE Conference on Control Applications, pp.1047-1052, 1995.

J. Lunze and D. Lehmann, A state-feedback approach to event-based control, Automatica, vol.46, issue.1, pp.211-215, 2010.
DOI : 10.1016/j.automatica.2009.10.035

M. Miskowicz, Send-On-Delta Concept: An Event-Based Data Reporting Strategy, Sensors, vol.6, issue.1, pp.49-63, 2006.
DOI : 10.3390/s6010049

D. Ne?i´ne?i´c and A. R. Teel, Input???Output Stability Properties of Networked Control Systems, IEEE Transactions on Automatic Control, vol.49, issue.10, pp.1650-1667, 2004.
DOI : 10.1109/TAC.2004.835360

D. Ne?i´ne?i´c and A. R. Teel, A Lyapunov-based small-gain theorem for hybrid ISS systems, IEEE Conference on Decision and Control, pp.3380-3385, 2008.

D. Ne?i´ne?i´c, A. R. Teel, and D. Carnevale, Explicit Computation of the Sampling Period in Emulation of Controllers for Nonlinear Sampled-Data Systems, IEEE Transactions on Automatic Control, vol.54, issue.3, pp.619-624, 2009.
DOI : 10.1109/TAC.2008.2009597

G. Otanez, J. R. Moyne, and D. M. Tilbury, Using deadbands to reduce communication in networked control systems, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301), pp.3015-3020, 2002.
DOI : 10.1109/ACC.2002.1025251

C. , D. Persis, and R. Postoyan, A Lyapunov redesign of coordination algorithms for cyberphysical systems, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01316254

R. Postoyan, A. Anta, W. P. Heeemels, P. Tabuada, and D. Ne?i´ne?i´c, Periodic event-triggered control for nonlinear systems, 52nd IEEE Conference on Decision and Control, 2013.
DOI : 10.1109/CDC.2013.6761063

URL : https://hal.archives-ouvertes.fr/hal-00875685

R. Postoyan, A. Anta, D. Ne?i´ne?i´c, and P. Tabuada, A unifying Lyapunovbased framework for the event-triggered control of nonlinear systems, IEEE Conference on Decision and Control and European Control Conference, pp.2559-2564, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00637977

R. Postoyan, P. Tabuada, D. Ne?i´ne?i´c, and A. Anta, Event-triggered and self-triggered stabilization of distributed networked control systems, IEEE Conference on Decision and Control and European Control Conference, pp.2565-2570, 2011.
DOI : 10.1109/CDC.2011.6160795

URL : https://hal.archives-ouvertes.fr/hal-00637979

S. Prajna, A. Papachristodoulou, P. Seiler, and P. A. Parrilo, Sostools: sum of squares optimization toolbox for matlab, 2004.

A. Seuret, C. Prieur, and N. Marchand, Stability of non-linear systems by means of event-triggered sampling algorithms, IMA Journal of Mathematical Control and Information, vol.31, issue.3, pp.415-433, 2013.
DOI : 10.1093/imamci/dnt018

E. D. Sontag and Y. Wang, On characterizations of the input-to-state stability property, Systems & Control Letters, vol.24, issue.5, pp.351-359, 1995.
DOI : 10.1016/0167-6911(94)00050-6

P. Tabuada, Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks, IEEE Transactions on Automatic Control, vol.52, issue.9, pp.1680-1685, 2007.
DOI : 10.1109/TAC.2007.904277

P. Tallapragada and N. Chopra, On Event Triggered Tracking for Nonlinear Systems, IEEE Transactions on Automatic Control, vol.58, issue.9, pp.2343-2348, 2013.
DOI : 10.1109/TAC.2013.2251794

A. R. Teel, L. Praly, M. Velasco, P. Martí, and E. Bini, On assigning the derivative of a disturbance attenuation control Lyapunov function Mathematics of Control, Signals and Systems On Lyapunov sampling for eventdriven controllers, IEEE Conference on Decision and Control held jointly with the Chinese Control Conference, pp.95-124, 2000.

G. C. Walsh, O. Beldiman, and L. G. Bushnell, Asymptotic behavior of nonlinear networked control systems, IEEE Transactions on Automatic Control, vol.46, issue.7, pp.1093-1097, 2001.
DOI : 10.1109/9.935062

X. Wang and M. D. Lemmon, Event design in event-triggered feedback control systems, 2008 47th IEEE Conference on Decision and Control, pp.2105-2110, 2008.
DOI : 10.1109/CDC.2008.4739105

X. Wang and M. D. Lemmon, On event design in event-triggered feedback systems PLACE PHOTO HERE Romain Postoyan was born in Paris, France, in 1982 He received the M.Sc. degree in Electrical and Control Engineering from ENSEEIHT (France) in 2005. He obtained the M.Sc. by Research in Control Theory & Application from Coventry University (United Kingdom) in 2006 and the Ph.D. in Control Theory from Université Paris-Sud (France) in 2009, CNRS researcher at the Centre de Recherche en Automatique de Nancy, pp.472319-2322, 2010.