G. Besançon, Nonlinear Observers and Applications , volume 363 of Lecture Notes in Control and Information Sciences, 2007.

M. Branicky, Introduction to Hybrid Systems, 2005.
DOI : 10.1007/0-8176-4404-0_5

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

S. Dashkovskiy and A. Mironchenko, Input-to-State Stability of Nonlinear Impulsive Systems, SIAM Journal on Control and Optimization, vol.51, issue.3, pp.1962-1987, 2013.
DOI : 10.1137/120881993

K. H. Degue, D. Efimov, and A. Iggidr, Interval estimation of sequestered infected erythrocytes in malaria patients, 2016 European Control Conference (ECC), 2016.
DOI : 10.1109/ECC.2016.7810443

URL : https://hal.archives-ouvertes.fr/hal-01295741

D. Efimov, L. Fridman, T. Ra¨?ssira¨?ssi, A. Zolghadri, and R. Seydou, Interval estimation for LPV systems applying high order sliding mode techniques, Automatica, vol.48, issue.9, pp.2365-2371, 2012.
DOI : 10.1016/j.automatica.2012.06.073

URL : https://hal.archives-ouvertes.fr/hal-00701643

D. Efimov, W. Perruquetti, T. Ra¨?ssira¨?ssi, and A. Zolghadri, Interval observers for time-varying discretetime systems, IEEE Trans. Automatic Control, issue.12, pp.58-3218, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00820937

D. Efimov, W. Perruquetti, R. , and J. P. , Interval estimation for uncertain systems with time-varying delays, International Journal of Control, vol.23, issue.6, pp.1777-1787, 2013.
DOI : 10.1109/TAC.2011.2142590

URL : https://hal.archives-ouvertes.fr/hal-00813314

D. Efimov, A. Polyakov, R. , and J. P. , Interval observer design for estimation and control of time-delay descriptor systems, European Journal of Control, vol.23, issue.5, pp.26-35, 2015.
DOI : 10.1016/j.ejcon.2015.01.004

URL : https://hal.archives-ouvertes.fr/hal-01108432

D. Efimov, T. Ra¨?ssira¨?ssi, W. Perruquetti, and A. Zolghadri, Estimation and control of discrete-time LPV systems using interval observers, 52nd IEEE Conference on Decision and Control, 2013.
DOI : 10.1109/CDC.2013.6760679

URL : https://hal.archives-ouvertes.fr/hal-01126277

D. Efimov, T. Ra¨?ssira¨?ssi, and A. Zolghadri, Control of Nonlinear and LPV Systems: Interval Observer-Based Framework, IEEE Transactions on Automatic Control, vol.58, issue.3, pp.773-782, 2013.
DOI : 10.1109/TAC.2013.2241476

URL : https://hal.archives-ouvertes.fr/hal-00664106

D. Efimov, A. Polyakov, E. M. Fridman, W. Perruquetti, R. et al., Delay-dependent positivity: Application to interval observers, 2015 European Control Conference (ECC), 2015.
DOI : 10.1109/ECC.2015.7330845

URL : https://hal.archives-ouvertes.fr/hal-01140336

D. Efimov and T. Ra¨?ssira¨?ssi, Design of interval observers for uncertain dynamical systems, Automation and Remote Control, vol.77, issue.2, pp.1-29, 2015.
DOI : 10.1134/S0005117916020016

URL : https://hal.archives-ouvertes.fr/hal-01276439

L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, 2000.
DOI : 10.1002/9781118033029

F. Fichera, C. Prieur, S. Tarbouriech, and L. Zaccarian, Using Luenberger observers and dwell-time logic for feedback hybrid loops in continuous-time control systems, International Journal of Robust and Nonlinear Control, vol.52, issue.12, pp.23-1065, 2013.
DOI : 10.1002/rnc.2922

URL : https://hal.archives-ouvertes.fr/hal-00830556

R. Goebel, R. Sanfelice, and A. Teel, Hybrid dynamical systems, IEEE Control Systems, vol.29, issue.2, 2012.
DOI : 10.1109/MCS.2008.931718

J. Gouzé, A. Rapaport, and M. Hadj-sadok, Interval observers for uncertain biological systems, Ecological Modelling, vol.133, issue.1-2, pp.46-56, 2000.
DOI : 10.1016/S0304-3800(00)00279-9

J. A. Hespanha, D. Liberzon, and A. R. Teel, On Input-to-State Stability of Impulsive Systems, Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
DOI : 10.1109/CDC.2005.1582786

M. W. Hirsch and H. L. Smith, Monotone maps: a review, Journal of Difference Equations and Applications, vol.21, issue.4-5, pp.379-398, 2005.
DOI : 10.1017/S0004972700017032

J. Kim, H. Cho, A. Shamsuarov, H. Shim, and J. Seo, State estimation strategy without jump detection for hybrid systems using gluing function, 53rd IEEE Conference on Decision and Control, pp.139-144, 2014.
DOI : 10.1109/CDC.2014.7039372

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

F. Mazenc and O. Bernard, Interval observers for linear time-invariant systems with disturbances, Automatica, vol.47, issue.1, pp.140-147, 2011.
DOI : 10.1016/j.automatica.2010.10.019

URL : https://hal.archives-ouvertes.fr/hal-00555464

F. Mazenc, T. N. Dinh, and S. I. Niculescu, Robust interval observers and stabilization design for discrete-time systems with input and output, Automatica, vol.49, issue.11, pp.3490-3497, 2013.
DOI : 10.1016/j.automatica.2013.09.016

URL : https://hal.archives-ouvertes.fr/hal-00874971

F. Mazenc, T. N. Dinh, and S. I. Niculescu, Interval observers for discrete-time systems, International Journal of Robust and Nonlinear Control, vol.59, issue.4, pp.2867-2890, 2014.
DOI : 10.1002/rnc.3030

URL : https://hal.archives-ouvertes.fr/hal-00761600

F. Mazenc, S. I. Niculescu, and O. Bernard, Exponentially Stable Interval Observers for Linear Systems with Delay, SIAM Journal on Control and Optimization, vol.50, issue.1, pp.286-305, 2012.
DOI : 10.1137/100812124

URL : https://hal.archives-ouvertes.fr/hal-00761603

T. Meurer, K. Graichen, G. , and E. D. , Control and Observer Design for Nonlinear Finite and Infinite Dimensional Systems, Lecture Notes in Control and Information Sciences, vol.322, 2005.
DOI : 10.1007/11529798

T. Ra¨?ssira¨?ssi, D. Efimov, and A. Zolghadri, Interval State Estimation for a Class of Nonlinear Systems, IEEE Transactions on Automatic Control, vol.57, issue.1, pp.260-265, 2012.
DOI : 10.1109/TAC.2011.2164820

H. Smith, Monotone dynamical systems, 1995.
DOI : 10.1090/surv/041/01