R. Bertsekas, D. 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.16117-128, 1971.
DOI : 10.1109/TAC.1971.1099674

S. Brenner, S. Brenner, and R. Scott, The Mathematical Theory of Finite Element Methods, 2005.

F. L. Chernousko, State Estimation for Dynamic Systems, Boca Raton, 1994.

. Heemink, Variance Reduced Ensemble Kalman Filtering, Monthly Weather Review, vol.129, issue.7, pp.718-1728, 2001.
DOI : 10.1175/1520-0493(2001)129<1718:VREKF>2.0.CO;2
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.531

. Homescu, Error estimation for reduced-order models of dynamical systems, SIAM J. Numer. Anal, vol.43, issue.41, pp.693-1714, 2005.

. Julier, . Uhlmann, S. J. Julier, and J. K. Uhlmann, New extension of the Kalman filter to nonlinear systems, Signal Processing, Sensor Fusion, and Target Recognition VI, 1997.
DOI : 10.1117/12.280797

. Kurzhanski, . Vályi, A. Kurzhanski, and I. Vályi, Ellipsoidal calculus for estimation and control. Systems & Control: Foundations & Applications, 1997.

. Mallet, Technical Note: The air quality modeling system Polyphemus, Atmos. Chem. Phys, vol.75, issue.20, pp.479-5487, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00328079

M. Milanese and R. Tempo, Optimal algorithms theory for robust estimation and prediction, IEEE Transactions on Automatic Control, vol.30, issue.8, pp.30730-738, 1985.
DOI : 10.1109/TAC.1985.1104056

P. Moireau and D. Chapelle, Reducedorder unscented Kalman filtering with application to parameter identification in large-dimensional systems, ESAIM: Control, Opt. and Calc, 2010.
URL : https://hal.archives-ouvertes.fr/inria-00550104

A. Nakonechny, Optimal control and estimation for partial differential equations, National Taras Shevchenko University Publishing, 2004.

D. T. Pham, Stochastic Methods for Sequential Data Assimilation in Strongly Nonlinear Systems, Monthly Weather Review, vol.129, issue.5, pp.194-195, 2001.
DOI : 10.1175/1520-0493(2001)129<1194:SMFSDA>2.0.CO;2
URL : https://hal.archives-ouvertes.fr/inria-00073082

H. Verlaan, M. Verlaan, and A. W. Heemink, Reduced rank square root filters for large scale data assimilation problems, Second International Symposium on Assimilation of Observations in Meteorology and Oceanography, pp.247-252, 1995.

S. Zhuk, Minimax state estimation for linear discrete-time differential-algebraic equations, Automatica, vol.46, issue.11, pp.461785-1789, 2010.
DOI : 10.1016/j.automatica.2010.06.040