J. Aubin, Viability theory, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00636570

J. Aubin and H. Frankowska, Set-valued analysis, 2009.
DOI : 10.1007/978-3-642-60756-1_11

B. R. Barmish and J. Sankaran, The propagation of parametric uncertainty via polytopes, IEEE Transactions on Automatic Control, vol.24, issue.2, pp.346-349, 1979.
DOI : 10.1109/TAC.1979.1102011

B. R. Barmish and G. Leitmann, On ultimate boundedness control of uncertain systems in the absence of matching assumptions, IEEE Transactions on Automatic Control, vol.27, issue.1, pp.153-158, 1982.
DOI : 10.1109/TAC.1982.1102862

D. P. Bertsekas and I. B. Rhodes, Recursive state estimation for a set-membership description of uncertainty, IEEE Transactions on Automatic Control, vol.16, issue.2, pp.117-128, 1971.
DOI : 10.1109/TAC.1971.1099674

G. Bitsoris, Positively invariant polyhedral sets of discrete-time linear systems, International Journal of Control, vol.82, issue.6, pp.1713-1726, 1988.
DOI : 10.1080/00207178808906132

F. Blanchini, Ultimate boundedness control for uncertain discrete-time systems via setinduced lyapunov functions, Proceedings of the 30th IEEE Conference on Decision and Control, pp.1755-1760, 1991.

F. Blanchini and S. Miani, Set-theoretic methods in control, 2007.
DOI : 10.1007/978-3-319-17933-9

E. and D. Santis, On positively invariant sets for discrete-time linear systems with disturbance: an application of maximal disturbance sets, IEEE Transactions on Automatic Control, vol.39, issue.1, pp.245-249, 1994.
DOI : 10.1109/9.273378

E. and D. Santis, Invariant sets: a generalization to constrained systems with state dependent disturbances, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), pp.622-623, 1998.
DOI : 10.1109/CDC.1998.760750

X. Feng, V. Puig, C. Ocampo-martinez, S. Olaru, and F. Stoican, Set-theoretic methods in robust detection and isolation of sensor faults, International Journal of Systems Science, vol.46, issue.13, pp.2317-2334, 2015.

J. D. Glover and F. C. Schweppe, Control of linear dynamic systems with set constrained disturbances, IEEE Transactions on Automatic Control, vol.16, issue.5, pp.411-423, 1971.
DOI : 10.1109/TAC.1971.1099781

E. C. Kerrigan, Robust constraint satisfaction: Invariant sets and predictive control, 2001.

E. Kofman, H. Haimovich, and M. M. Seron, A systematic method to obtain ultimate bounds for perturbed systems, International Journal of Control, vol.18, issue.2, pp.167-178, 2007.
DOI : 10.1109/9.763226

I. Kolmanovsky and E. G. Gilbert, Theory and computation of disturbance invariant sets for discrete-time linear systems, Mathematical Problems in Engineering, vol.4, issue.4, pp.317-367, 1998.
DOI : 10.1155/S1024123X98000866

A. V. Kuntsevich and V. M. Kuntsevich, Invariant sets for families of linear and nonlinear discrete systems with bounded disturbances. Automation and Remote Control, pp.83-96, 2012.

V. M. Kuntsevich and B. N. Pshenichnyi, Minimal invariant sets of dynamic systems with bounded disturbances, Cybernetics and Systems Analysis, vol.51, issue.No. 5, pp.58-64, 1996.
DOI : 10.1007/BF02366582

G. Leitmann, Guaranteed asymptotic stability for a class of uncertain linear dynamical systems, Journal of Optimization Theory and Applications, vol.6, issue.1, pp.99-106, 1979.
DOI : 10.1007/BF00933328

G. Leitmann, On the Efficacy of Nonlinear Control in Uncertain Linear Systems, Journal of Dynamic Systems, Measurement, and Control, vol.103, issue.2, pp.95-102, 1981.
DOI : 10.1115/1.3139661

P. Mclane, Optimal stochastic control of linear systems with state- and control-dependent disturbances, IEEE Transactions on Automatic Control, vol.16, issue.6, pp.793-798, 1971.
DOI : 10.1109/TAC.1971.1099828

S. Olaru, J. A. De-doná, M. M. Seron, and F. Stoican, Positive invariant sets for fault tolerant multisensor control schemes, International Journal of Control, vol.40, issue.12, pp.2622-2640, 2010.
DOI : 10.1016/j.automatica.2004.01.014

URL : https://hal.archives-ouvertes.fr/hal-00293927

S. V. Rakovi´crakovi´c, E. C. Kerrigan, K. I. Kouramas, and D. Q. Mayne, Invariant approximations of the minimal robust positively Invariant set, IEEE Transactions on Automatic Control, vol.50, issue.3, pp.406-410, 2005.
DOI : 10.1109/TAC.2005.843854

S. V. Rakovi´crakovi´c, E. C. Kerrigan, and D. Q. Mayne, Reachability computations for constrained discrete-time systems with state-and input-dependent disturbances, Proceedings of the 42nd IEEE Conference on Decision and Control, pp.3905-3910, 2003.

V. Reppa, S. Olaru, and M. M. Polycarpou, Structural detectability analysis of a distributed sensor fault diagnosis scheme for a class of nonlinear systems, Proceedings of the 9th IFAC SAFEPROCESS, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01260168

R. M. Schaich and M. Cannon, Robust positively invariant sets for state dependent and scaled disturbances, 2015 54th IEEE Conference on Decision and Control (CDC), 2015.
DOI : 10.1109/CDC.2015.7403414

M. M. Seron and J. A. De-doná, Robust fault estimation and compensation for LPV systems under actuator and sensor faults, Automatica, vol.52, pp.294-301, 2015.
DOI : 10.1016/j.automatica.2014.12.003

M. M. Seron, X. W. Zhuo, J. A. De-doná, and J. J. Martínez, Multisensor switching control strategy with fault tolerance guarantees, Automatica, vol.44, issue.1, pp.88-97, 2008.
DOI : 10.1016/j.automatica.2007.05.024

URL : https://hal.archives-ouvertes.fr/hal-00123086

F. Stoican and S. Olaru, Set-theoretic Fault-tolerant Control in Multisensor Systems, ISTE, 2013.
DOI : 10.1002/9781118649428

URL : https://hal.archives-ouvertes.fr/hal-00826961

J. L. Willems and J. C. Willems, Feedback stabilizability for stochastic systems with state and control dependent noise, Automatica, vol.12, issue.3, pp.277-283, 1976.
DOI : 10.1016/0005-1098(76)90029-7