F. Antritter, F. Cazaurang, J. Lévine, and J. Middeke, On the computation of <mml:math altimg="si3.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mi>??</mml:mi></mml:math>-flat outputs for linear time-varying differential-delay systems, Systems & Control Letters, vol.71, pp.14-22, 2014.
DOI : 10.1016/j.sysconle.2014.07.002

F. Antritter and J. Middeke, A toolbox for the analysis of linear systems with delays, IEEE Conference on Decision and Control and European Control Conference, pp.1950-1955, 2011.
DOI : 10.1109/CDC.2011.6160636

G. A. Baker and P. R. Graves-morris, The Pad?? approximant, Journal of Mathematical Analysis and Applications, vol.2, issue.1, 1996.
DOI : 10.1016/0022-247X(61)90042-7

J. Battaglia, L. Lay, L. Batsale, J. Oustaloup, A. Cois et al., Utilisation de mod??les d'identification non entiers pour la r??solution de probl??mes inverses en conduction, International Journal of Thermal Sciences, vol.39, issue.3, pp.374-389, 2000.
DOI : 10.1016/S1290-0729(00)00220-9

A. Battig and S. L. Kalla, On Mikusinski's operators of fractional integration, Revista Colombiana de Matemáticas, IX, pp.155-160, 1975.

N. Bourbaki, Algèbres, éléments de Mathématiques, 1970.

P. Brunovský, A classification of linear controllable systems, Kybernetika, vol.6, pp.176-178, 1970.

G. Cain and G. H. Meyer, Separation of Variables for Partial Differential Equations: An Eigenfunction Approach, 2005.

F. Chyzak, A. Quadrat, and D. Robertz, Effective algorithms for parametrizing linear control systems over Ore algebras, Applicable Algebra in Engineering, Communication and Computing, vol.16, issue.5, pp.319-376, 2005.
DOI : 10.1007/s00200-005-0188-6
URL : https://hal.archives-ouvertes.fr/inria-00071407

P. M. Cohn and J. Newman, Free Rings and Their Relations On the short behavior of porous intercalation electrodes, Journal of the Electrochemical Society, vol.144, issue.9, pp.3057-3063, 1985.

M. Fliess, Some basic structural properties of generalized linear systems, Systems & Control Letters, vol.15, issue.5, pp.391-396, 1990.
DOI : 10.1016/0167-6911(90)90062-Y

M. Fliess, A remark on Willems' trajectory characterization of linear controllability, Systems & Control Letters, vol.19, issue.1, pp.43-45, 1992.
DOI : 10.1016/0167-6911(92)90038-T

M. Fliess and R. Hotzel, Sur les syst??mes lin??aires ?? d??rivation non enti??re, Comptes Rendus de l'Académie des Sciences ? Series IIB ? Mechanics-Physics- Chemistry-Astronomy, pp.99-105, 1997.
DOI : 10.1016/S1251-8069(99)80013-X

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Sur les systèmes non linéaires différentiellement plats, I-315, pp.619-624, 1992.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, Flatness and defect of nonlinear systems: introductory theory and examples, International Journal of Control, issue.6, pp.61-1327, 1995.

M. Fliess, J. Lévine, P. Martin, and P. Rouchon, A Lie-Bäcklund approach to equivalence and flatness of nonlinear systems, IEEE Transaction of Automatic Control, issue.44, pp.44-922, 1999.

R. Hotzel, Contribution à la théorie structurelle et la commande des systèmes linéaires fractionnaires, 1998.

T. Kailath, Linear Systems, 1980.

B. Laroche, Extension de la notion de platitude à des systèmes décrits par des équations aux dérivées partielles linéaires, France: Ecole Nationale Supérieure des Mines de Paris, 2000.

B. Laroche, P. Martin, and P. Rouchon, Motion planning for a class of partial differential equations with boundary control, Proceedings of the 37th IEEE Conference on Decision and Control (Cat. No.98CH36171), pp.3494-3497, 1998.
DOI : 10.1109/CDC.1998.758247

J. Lévine, Analysis and Control of Nonlinear Systems A Flatness-based Approach, 2009.

J. Lévine and D. V. Nguyen, Flat output characterization for linear systems using polynomial matrices. System and Control Letters, pp.69-75, 2003.

R. L. Magin, O. Abdullah, D. Baleanu, and X. J. Zhou, Anomalous diffusion expressed through fractional order differential operators in the Bloch???Torrey equation, Journal of Magnetic Resonance, vol.190, issue.2, pp.255-270, 2008.
DOI : 10.1016/j.jmr.2007.11.007

R. Malti, J. Sabatier, and H. Akçay, Thermal modeling and identification of an aluminium rod using fractional calculus, 15th IFAC symposium on system identification, pp.958-963, 2009.

D. Matignon and B. Andréa-novel, Some results on controllability and observability of finite-dimensional fractional differential systems, IMACS, pp.952-956, 1996.

D. Matignon and B. Andréa-novel, Observer-based controllers for fractional differential systems, Proceedings of the 36th IEEE Conference on Decision and Control, pp.4967-4972, 1997.
DOI : 10.1109/CDC.1997.649835

J. Mikusi?ski, Operational Calculus, 1983.

K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, 1993.

X. Moreau, C. Ramus-serment, and A. Oustaloup, Fractional differentiation in passive vibration control, International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, vol.29, pp.1-4, 2002.

K. B. Oldham and J. Spanier, The Fractional Calculus ? Theory and Applications of Differentiation and Integration to Arbitrary Order, 1974.

A. Oustaloup, La Dérivation Non-Entière, 1995.

A. Oustaloup, Diversity and Non-integer Differentiation for System Dynamics, 2014.
DOI : 10.1002/9781118760864

I. Podlubny, J. W. Polderman, and J. C. Willems, Fractional Differential Equations Introduction to Mathematical System Theory: A Behavioral Approach, 1998.

F. Rotella, Commande des systèmes par platitude, 2004.

J. Rudolph, Flatness Based Control of Distributed Parameter Systems, 2003.

S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional integrals and derivatives: theory and applications, 1993.

A. Sedoglavic, Méthodes seminumériques en algèbre différentielle ? applications à l'étude des propriétés structurelles de systèmes différentiels algébriques en automatique, 2001.

H. Sira-ramirez and S. K. Agrawal, Differential Flat Systems, 2004.

L. Sommacal, P. Melchior, J. M. Cabelguen, A. Oustaloup, and A. Ijspeert, Advances in Fractional Calculus Theoretical Developments and Applications in Physics and Engineering, Chap. Fractional Multimodels for the Gastrocnemius Muscle for Tetanus Pattern, pp.271-285, 2007.

H. L. Trentelman, On flat systems behaviors and observable image representations, Systems & Control Letters, vol.51, issue.1, pp.43-45, 1992.
DOI : 10.1016/S0167-6911(03)00206-8

S. Victor, P. Melchior, and A. Oustaloup, Robust path tracking using flatness for fractional linear MIMO systems: A thermal application, Computers & Mathematics with Applications, vol.59, issue.5, pp.1667-1678, 2010.
DOI : 10.1016/j.camwa.2009.08.008
URL : https://hal.archives-ouvertes.fr/hal-00530619

S. Victor, P. Melchior, R. Malti, and A. Oustaloup, Path tracking with flatness and CRONE control for Fractional Systems: thermal application, 18th IFAC World Congress, 2011.
DOI : 10.3182/20110828-6-IT-1002.02002
URL : https://hal.archives-ouvertes.fr/hal-00668286

W. A. Wolovich, Series in Applied Mathematical Systems, Chap. Linear Multivariable Systems, 1974.