F. Arichi, M. Djemai, B. Cherki, and N. Manamanni, Continuous and discrete state estimation for a class of nonlinear switched systems, IEEE Trans. On Circuits and Systems, vol.II, issue.7, pp.691-695, 2015.

S. Chebotarev, D. Efimov, T. Ra¨?ssira¨?ssi, and A. Zolghadri, Interval observers for continuous-time lpv systems with l1/l2 performance, Automatica, vol.58, pp.82-89, 2015.
DOI : 10.1016/j.automatica.2015.05.009

URL : https://hal.archives-ouvertes.fr/hal-01149982

K. H. Degue, D. Efimov, and J. Richard, Interval observers for hybrid linear systems, 10th IFAC Symposium on Nonlinear Control Systems (NOLCOS), 2016.

T. N. Dinh, F. Mazenc, and S. I. Niculescu, Interval observer composed of observers for nonlinear systems, European Control Conference, pp.660-665, 2014.
URL : https://hal.archives-ouvertes.fr/hal-01088231

M. Djemai and M. Defoort, Hybrid Dynamical Systems, 2015.

D. Efimov, W. Perruquetti, T. Ra¨?ssira¨?ssi, and A. Zolghadri, Interval observers for time-varying discrete-time systems, IEEE Transactions on Automatic Control, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01126241

D. Efimov and T. Rassi, Design of interval observers for uncertain dynamical systems. Automation and Remote Control, vol.77, pp.191-225, 2016.
DOI : 10.1134/s0005117916020016

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

H. Ethabet, T. Rassi, M. Amairi, and M. Aoun, Interval observers design for continuous-time switched systems, Proc. 20th IFAC WC 2017, 2017.
DOI : 10.1016/j.ifacol.2017.08.853

L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, vol.50, 2000.
DOI : 10.1002/9781118033029

J. Gouzé, M. Z. Rapaport, and . Hadjsadok, Interval observers for uncertain biological systems, Ecological modelling, vol.133, issue.1, pp.45-56, 2000.

G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities. Cambridge Mathematical Library, 1952.
URL : https://hal.archives-ouvertes.fr/hal-01374624

Z. He and W. Xie, Interval state observer for nonlinear switched systems with average dwell time, 34th IEEE Chinese Control Conference (CCC), pp.2285-2288, 2015.

Z. He and W. Xie, Control of non-linear switched systems with average dwell time: interval observer-based framework, IET Control Theory & Applications, vol.10, issue.1, pp.10-16, 2016.

L. Hetel, Robust stability and control of switched linear systems, 2007.
URL : https://hal.archives-ouvertes.fr/tel-00202479

B. Hu, G. Zhai, and A. Michel, Common quadratic lyapunov-like functions with associated switching regions for two unstable second-order lti systems, International Journal of Control, vol.75, issue.14, pp.1127-1135, 2002.

S. Ifqir, Switched interval observer for uncertain continuous-time systems, Proc. 20th IFAC WC, 2017.

R. Lamouchi, M. Amairi, T. Ra¨?ssira¨?ssi, and M. Aoun, Interval observer design for linear parameter-varying systems subject to component faults, 24th IEEE Mediterranean Conference on Control and Automation (MED), pp.707-712, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01503483

D. Liberzon, Switching in systems and control, 2012.

H. Lin and . Antsaklis, Stability and stabilizability of switched linear systems: a survey of recent results, IEEE Transactions on Automatic control, vol.54, issue.2, pp.308-322, 2009.

D. Luenberger, Observers for multivariable systems, IEEE Transactions on Automatic Control, vol.11, issue.2, pp.190-197, 1966.

F. Mazenc and O. Bernard, Interval observers for linear time-invariant systems with disturbances, Automatica, vol.47, issue.1, pp.140-147, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00555464

F. Mazenc, N. Thach, . Dinh, . Silviu-iulian, and . Niculescu, Interval observers for discrete-time systems, International Journal of Robust and Nonlinear Control, vol.24, issue.17, pp.2867-2890, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00761600

N. Meslem and N. Ramdani, Interval observer design based on nonlinear hybridization and practical stability analysis, International Journal of Adaptive Control and Signal Processing, vol.25, issue.3, pp.228-248, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00629906

H. Minc, Nonnegative matrices, 1988.

W. Mitkowski, Dynamical properties of metzler systems, Technical Sciences, vol.56, issue.4, 2008.

D. Rabehi, D. Efimov, and J. Richard, Interval estimation for linear switched system, Proc. 20th IFAC WC 2017, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01508762

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.

T. Ra¨?ssira¨?ssi, G. Videau, and A. Zolghadri, Interval observer design for consistency checks of nonlinear continuous-time systems, Automatica, vol.46, issue.3, pp.518-527, 2010.

H. Ríos, D. Mincarelli, D. Efimov, W. Perruquetti, and J. Davila, Continuous and discrete state estimation for switched lpv systems using parameter identification, Automatica, vol.62, pp.139-147, 2015.

M. Suzuki, Generalized trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems, Communications in Mathematical Physics, vol.51, issue.2, pp.183-190, 1976.

A. Tanwani, H. Shim, and D. Liberzon, Observability for switched linear systems: characterization and observer design, IEEE Transactions on Automatic Control, vol.58, issue.4, pp.891-904, 2013.

F. Hale and . Trotter, On the product of semi-groups of operators, Proceedings of the American Mathematical Society, vol.10, issue.4, pp.545-551, 1959.

L. Vu, D. Chatterjee, and D. Liberzon, Inputto-state stability of switched systems and switching adaptive control, Automatica, vol.43, issue.4, pp.639-646, 2007.

X. Zhao, H. Liu, J. Zhang, and H. Li, Multiple-mode observer design for a class of switched linear systems, IEEE Transactions on Automation Science and Engineering, vol.12, issue.1, pp.272-280, 2015.