L. Allerhand and U. Shaked, Robust Stability and Stabilization of Linear Switched Systems With Dwell Time, IEEE Transactions on Automatic Control, vol.56, issue.2, pp.381-386, 2011.
DOI : 10.1109/TAC.2010.2097351

D. Bainov and P. Simeonov, Systems with Impulse Effects: Stability, Theory and Applications, 1989.

C. Briat, Convex conditions for robust stability analysis and stabilization of linear aperiodic impulsive and sampled-data systems under dwell-time constraints, Automatica, vol.49, issue.11, pp.3449-3457, 2013.
DOI : 10.1016/j.automatica.2013.08.022

C. Briat, Linear Parameter-Varying and Time-Delay Systems -Analysis, Observation, Filtering & Control, volume 3 of Advances on Delays and Dynamics, 2015.

C. Briat and A. Seuret, Convex Dwell-Time Characterizations for Uncertain Linear Impulsive Systems, IEEE Transactions on Automatic Control, vol.57, issue.12, pp.3241-3246, 2012.
DOI : 10.1109/TAC.2012.2200379
URL : https://hal.archives-ouvertes.fr/hal-00724546

C. Briat and A. Seuret, A looped-functional approach for robust stability analysis of linear impulsive systems, Systems & Control Letters, vol.61, issue.10, pp.61980-988, 2012.
DOI : 10.1016/j.sysconle.2012.07.008
URL : https://hal.archives-ouvertes.fr/hal-00724545

M. Emelianov, P. Pakshin, K. Gaa, and E. Rogers, Stability and Stabilization of Differential Nonlinear Repetitive Processes with Applications, Proceedings of the 19th IFAC World Congress, pp.5467-5472, 2014.
DOI : 10.3182/20140824-6-ZA-1003.00502

J. Emelianova, P. Pakshin, K. Gaa, and E. Rogers, Vector Lyapunov function based stability of a class of applications relevant 2d nonlinear systems, Proceedings of the 19th IFAC World Congress, pp.8247-8252, 2014.

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

L. Hu, Y. Cao, and H. Shao, Constrained robust sampled-data control for nonlinear uncertain systems, International Journal of Robust and Nonlinear Control, vol.9, issue.5, pp.447-155, 2002.
DOI : 10.1002/rnc.632

V. Lakshmikantham, V. M. Matrosov, and S. Sivasundaram, Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems Mathematics and its Applications, 1991.

L. Lee, Y. Liu, J. Liang, and X. Cai, Finite time stability of nonlinear impulsive systems and its applications in sampled-data systems, ISA Transactions, vol.57, 2015.
DOI : 10.1016/j.isatra.2015.02.001

J. Löfberg, YALMIP : a toolbox for modeling and optimization in MATLAB, 2004 IEEE International Conference on Robotics and Automation (IEEE Cat. No.04CH37508), 2004.
DOI : 10.1109/CACSD.2004.1393890

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

D. Ne?i´ne?i´c, A. R. Teel, and L. Zaccarian, Stability and performance of siso control systems with first-order reset elements, IEEE Transactions on Automatic Control, issue.11, pp.562567-2582, 2011.

H. Ríos, L. Hetel, and D. Efimov, Vector lyapunov function based stability for a class of impulsive systems, 2015 54th IEEE Conference on Decision and Control (CDC), pp.2247-2251, 2015.
DOI : 10.1109/CDC.2015.7402541

E. Rogers, K. Galkowski, and D. Owens, Control Systems Theory and Applications for Linear Repetitive Processes, Lecture Notes in Control and Information Sciences, vol.349, 2007.

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

J. F. Sturm, Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones, Optimization Methods and Software, vol.81, issue.1-4, pp.625-653, 2001.
DOI : 10.1287/moor.19.1.53
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.49.6954

H. Xu and K. L. Teo, Exponential Stability With <formula formulatype="inline"> <tex Notation="TeX">$L_{2}$</tex></formula>-Gain Condition of Nonlinear Impulsive Switched Systems, IEEE Transactions on Automatic Control, vol.55, issue.10, pp.2429-2433, 2010.
DOI : 10.1109/TAC.2010.2060173

N. Yeganefar, N. Yeganefar, M. Ghamgui, and E. Moulay, Lyapunov Theory for 2-D Nonlinear Roesser Models: Application to Asymptotic and Exponential Stability, IEEE Transactions on Automatic Control, vol.58, issue.5, pp.1299-1304, 2013.
DOI : 10.1109/TAC.2012.2220012
URL : https://hal.archives-ouvertes.fr/hal-00862935

S. T. Zavalishchin and A. N. Sesekin, Dynamic Impulse Systems, Theory and Applications. Mathematics and its Applications, 1997.
DOI : 10.1007/978-94-015-8893-5

Q. Zhu and G. Hu, Stability and absolute stability of a general 2-D non-linear FM second model, IET Control Theory & Applications, vol.5, issue.1, pp.239-246, 2011.
DOI : 10.1049/iet-cta.2009.0624

Q. Zhu, G. Hu, and Y. Yin, Lyapunov-Type Theorem of General Two-Dimensional Nonlinear Parameter-Varying FM Second Model, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.59, issue.7, pp.453-457, 2012.
DOI : 10.1109/TCSII.2012.2200172