M. Fliess, J. Levine, P. Martin, and P. Rouchon, Flatness and defect of non-linear systems: introductory theory and examples, Int. Jour. of Control, issue.6, pp.1327-1361, 1995.

H. Sira-ramirez and S. K. , Differentially Flat Systems. Marcel Dekker, 2004.

M. Fliess and R. Marquez, Toward a module theoretic approach to discrete-time linear predictive control, International Journal of Control, vol.73, pp.606-623, 2000.

M. Fliess, Reversible linear and nonlinear discrete-time dynamics, IEEE Trans. Automat. Contr, vol.37, pp.1144-1153, 1992.

S. Z. Yong, B. Paden, and E. Frazzoli, Computational methods for MIMO flat linear systems: Flat output characterization, test and tracking control, Proc. of the American Control Conference (ACC'2015), 2015.

G. Millérioux, A constructive approach for the design of finite time self-synchronizing coupled systems with unknown inputs, Proc. of the International Symposium on Nonlinear Theory and its Applications, 2010.

A. Kaldmae and . Kotta, On flatness of discrete-time nonlinear systems, Proc. of the 9th IFAC Symposium on Nonlinear Control Systems, 2013.

K. Sato, On an algorithm for checking whether or not a nonlinear discretetime system is difference flat, Proc. of 20th International Symposium on Mathematical Theory of Networks and Systems, 2012.

B. Kolar, A. Kaldmäe, M. Schöberl, Ü. Kotta, and K. Schlacher, Construction of flat outputs of nonlinear discrete-time systems in a geometric and an algebraic framework, NOLCOS 2016, 2016.

B. Kolar, M. Schöberl, and K. Schlacher, A decompsition procedure for the construction of flat outputs of discrete-time nonlinear control systems, 22nd International Symposium on Mathematical Theory of Networks and Systems, 2016.

G. Rigatos, Nonlinear Control and Filtering Using Differential Flatness Approaches. Applications to Electromechanical Systems, chapter Differential Flatness Theory and Flatness-Based Control, Studies in Systems, Decision and Control, 2015.

S. P. Pereira-da and S. , Flatness of nonlinear control systems : a cartankähler approach, Proc. Mathematical Theory of Networks et Systems MTNS'2000, vol.01, 2000.

J. Daafouz, M. Fliess, and G. Millérioux, Une approche intrinsèque des observateurs linéairesà entrées inconnues, Proc. of the Conférence Internationale Francophone d'Automatique, 2006.

G. Millérioux and J. Daafouz, Flatness of switched linear discrete-time systems, IEEE Transactions on Automatic Control, vol.54, issue.3, pp.615-619, 2009.

M. K. Sain and J. L. Massey, Invertibility of linear time-invariant dynamical systems, IEEE Transactions on Automatic Control, vol.14, pp.141-149, 1969.

L. M. Silverman, Inversion of multivariable linear systems, IEEE Trans. Automatic Control, vol.14, issue.3, pp.270-276, 1969.

T. Fortmann and K. Hitz, An introduction to linear control systems, 1977.

D. E. Kirk, optimal control theory: an introduction, 1970.

B. D. Andersen and J. B. Moore, Optimal filtering, 1979.

A. R. Liu, Stochastic observability, reconstructibility, controllability, and reachability, 2011.

Y. Kawano and T. Ohtsuka, Commutative algebraic methods for controllability of discrete-time polynomial systems, International Journal of Control, vol.13, issue.2, pp.343-351, 2016.

J. Grizzle, A linear algebraic framework for the analysis of discretetime nonlinear systems, SIAM Journal on Control and Optimization, vol.31, issue.4, pp.1026-1044, 1993.

T. Floquet and J. P. Barbot, State and unknown input estimation for linear discrete-time systems, Automatica, vol.42, issue.11, pp.1883-1889, 2006.
URL : https://hal.archives-ouvertes.fr/hal-02058152

S. N. Singh, A modified algorithm for invertibility in nonlinear systems, IEEE Trans. Automat. Control, vol.26, pp.595-598, 1981.

H. H. Rosenbrock, State Space and Multivariable Theory, 1970.

M. L. Hautus, Strong detectability and observers. Systems and Control letters, vol.50, pp.353-368, 1983.