D. D. Bainov and P. S. Simeonov, Systems with impulse effects: Stability, theory and applications, 1989.

C. Briat, Convergence and Equivalence Results for the Jensen's Inequality—Application to Time-Delay and Sampled-Data Systems, IEEE Transactions on Automatic Control, vol.56, issue.7, pp.1660-1665, 2011.
DOI : 10.1109/TAC.2011.2121410

C. Briat and A. Seuret, Stability Criteria for Asynchronous Sampled-data Systems ??? A Fragmentation Approach, 18th IFAC World Congress, pp.1313-1318, 2011.
DOI : 10.3182/20110828-6-IT-1002.02353
URL : https://hal.archives-ouvertes.fr/hal-00575532

C. Briat and A. Seuret, A boundary-constrainedfunctional approach for robust stability analysis of linear impulsive systems. submitted to Systems & Control Letters, 2012.

C. Briat and E. I. Verriest, A new delay-SIR model for pulse vaccination, Biomedical Signal Processing and Control, vol.4, issue.4, pp.272-277, 2009.
DOI : 10.1016/j.bspc.2009.06.003
URL : https://hal.archives-ouvertes.fr/hal-00336992

C. Cai, A. R. Teel, and R. Goebel, Smooth Lyapunov functions for hybrid systems Part ii: (pre)asymptotically stable compact sets, IEEE Transactions on Automatic Control, vol.53, issue.3, pp.734-748, 2008.

G. E. Dullerud and S. Lall, Asynchronous hybrid systems with jumps ??? analysis and synthesis methods, Systems & Control Letters, vol.37, issue.2, pp.61-69, 1999.
DOI : 10.1016/S0167-6911(99)00002-X

E. Fridman, A refined input delay approach to sampled-data control, Automatica, vol.46, issue.2, pp.421-427, 2010.
DOI : 10.1016/j.automatica.2009.11.017

J. C. Geromel and P. Colaneri, Stability and Stabilization of Continuous???Time Switched Linear Systems, SIAM Journal on Control and Optimization, vol.45, issue.5, pp.1915-1930, 2006.
DOI : 10.1137/050646366

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

J. P. Hespanha, D. Liberzon, and A. R. Teel, Lyapunov conditions for input-to-state stability of impulsive systems, Automatica, vol.44, issue.11, pp.442735-2744, 2008.
DOI : 10.1016/j.automatica.2008.03.021

K. Liu and E. Fridman, Wirtinger???s inequality and Lyapunov-based sampled-data stabilization, Automatica, vol.48, issue.1, pp.102-108, 2012.
DOI : 10.1016/j.automatica.2011.09.029

A. N. Michel, L. Hou, and D. Liu, Stability of dynamical systems -Continuous, discontinuous and discrete systems, Birkhäuser, 2008.

P. Naghshtabrizi, J. P. Hespanha, and A. R. Teel, Exponential stability of impulsive systems with application to uncertain sampled-data systems, Systems & Control Letters, vol.57, issue.5, pp.378-385, 2008.
DOI : 10.1016/j.sysconle.2007.10.009

A. Seuret, Stability analysis for sampled-data systems with a time-varying period, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference, pp.8130-8135, 2009.
DOI : 10.1109/CDC.2009.5400681
URL : https://hal.archives-ouvertes.fr/hal-00403252

A. Seuret, A novel stability analysis of linear systems under asynchronous samplings, Automatica, vol.48, issue.1, pp.177-182, 2012.
DOI : 10.1016/j.automatica.2011.09.033
URL : https://hal.archives-ouvertes.fr/hal-00610561

N. Sivashankar and P. P. Khargonekar, Characterization of the $\mathcal{L}_2 $-Induced Norm for Linear Systems with Jumps with Applications to Sampled-Data Systems, SIAM Journal on Control and Optimization, vol.32, issue.4, pp.1128-1150, 1994.
DOI : 10.1137/S0363012991223121

L. Stone, B. Shulgin, and Z. Agur, Theoretical examination of the pulse vaccination policy in the SIR epidemic model, Mathematical and Computer Modelling, vol.31, issue.4-5, pp.4-5, 2000.
DOI : 10.1016/S0895-7177(00)00040-6

W. Sun, K. M. Nagpal, and P. P. Khargonekar, H ? control and filtering with sampled measurements, American Control Conference, pp.1652-1657, 1991.

Y. Yamamoto, New approach to sampled-data control systems-a function space method, 29th IEEE Conference on Decision and Control, 1990.
DOI : 10.1109/CDC.1990.203946

T. Yang, Impulsive control theory, 2001.